E3.1.1.1. Physics: B. Fluid Mechanics & Aerodynamics Activity: Bernoulli’s Principle Experiments Science as Inquiry: As a result of activities in grades 5-8, all students should develop • Understanding about scientific inquiry. • Abilities necessary to do scientific inquiry: identify questions, design an investigation, collect and interpret data, use evidence, think critically, analyze and predict, communicate, and use mathematics. Source: National Science Education Standards NSES Standards for Grades 5-8: NCTM Expectations: Motions and Forces •Collect data using observations, surveys, and experiments. •The motion of an object can be described by its position, direction of motion, and speed. That motion can be measured and represented on a graph. Unbalanced forces will cause changes in the speed or direction of an object’s motion. E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 1 E3.1.1.1. Physics: B. Fluid Mechanics & Aerodynamics Activity: Bernoulli’s Principle Experiments Science Process Skills: • • • • • Observing Comparing Inferring Predicting Communicating Math Process Skills: • Measuring • Recording • Analyzing Objective: The learner will specify the expected change in motion caused by unbalanced forces acting on an object. The learner will determine the faster fluids move, the less pressure they exert. Time: 40–60 Minutes (Contingent upon the number of students and the stations selected) Materials: See each station description for list of materials needed. Materials for all Stations: Pencils Station Cards Student Activity Log (one per student) E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 2 E3.1.1.1. Physics: B. Fluid Mechanics & Aerodynamics Activity: Bernoulli’s Principle Experiments Instructor Preparation : See each station description for teacher preparation. Students will work in pairs at each station. A designated pattern for movement among the stations should be determined. Appropriate Task Cards and materials for conducting the experiments should be placed at each station. Note: Time may not allow for all stations to be completed. Many of the stations are similar and Instructors may choose which station to include for this lesson. It is not necessary to do all nine stations. For example, “Ping and Pong” and “Sticky Papers” are very similar. If time is limited, students could complete one of these activities. Each station should be clearly marked to help students identify their workstation and where to record data and answer questions in their Activity Log. E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 3 E3.1.1.1. Physics: B. Fluid Mechanics & Aerodynamics Activity: Bernoulli’s Principle Experiments Instructor Background Information: Key Vocabulary Airfoil—A shape of a wing or blade (of a propeller, rotor or sail) as seen in crosssection. Fluid—Substances that flow freely and tend to assume the shape of the container in which they are held. Nonviscous—A true “nonviscous” fluid would flow along a solid wall without any slowing down because of friction. Nonturbulent—A term describing a streamlined flow in which all particles move at the same speed and in the same direction. Turbulent—A term describing a highly irregular form of flow, in which a fluid is subject to continual changes in speed and direction. Hydrodynamics—The study of water flow and its principles. Lift—The force that raises an aircraft off the ground and keeps it aloft. Velocity—The rate of motion in a particular direction. Daniel Bernoulli was an 18th century Swiss mathematician and physicist known for his work describing the movement of fluids. Bernoulli came from a family of mathematicians. Daniel’s father, Johann, and his uncle, Jacob, made important contributions to the fields of calculus and probability theory. Daniel was the middle of three brothers, all of whom also pursued advanced mathematics studies. Of all of the members of this remarkable family, Daniel Bernoulli could be considered to be the most gifted if numbers and prestige of prizes are used as a measure. On ten different occasions, Daniel received the annual prize awarded by the French Academy of Sciences. These prizes are outward signs of Daniel’s talent for applying his gift for mathematics to the study of a wide range of physical phenomena including planetary orbits, the movement of tides, vibrating strings, and behaviors of fluids. It is this last category of work for which he is probably most well known. In 1738, when he was 38, Daniel published his work on fluids in a book entitled Hydrodynamica. In it, he laid out the detailed mathematical descriptions of fluid movement that he had developed earlier while a professor of mathematics at the University of St. Petersburg in Russia where he began his professorship at age 25. (Bernoulli later joined the faculty at the University of Basel in Switzerland, where he remained active as a scholar until his 80th year, just two years before his death.) From Daniel Bernoulli’s work, we are able to describe mechanics of fluid motion in various settings. One particular relationship known as Bernoulli’s Principle (sometimes referred to as the “Bernoulli Effect”) has proved to have broad applications. This principle (which is supported by a fairly complex equation) states there is an inverse relationship between the velocity of a fluid (a liquid or a gas) and its pressure – the greater the fluid’s velocity, the lower the fluid’s pressure. As with many models in physics, Bernoulli’s Principle is based on equations describing ideal fluids, or fluids that are nonviscous, incompressible (have a constant density), nonturbulent, and steady. E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 4 E3.1.1.1. Physics: B. Fluid Mechanics & Aerodynamics Activity: Bernoulli’s Principle Experiments Bernoulli’s Principle has a wide range of applications, from explaining why a spin applied to a baseball as it leaves the pitcher’s hand results in a curved pitch to how air is pulled up and out of a chimney. This principle also helps explain why aerodynamic lift occurs as air flows over an airplane wing. How an Airfoil Generates Lift The relationship between Bernoulli’s Principle and the generation of lift is one of the more popular teaching applications. Although Bernoulli’s Principle is not the only factor at play when lift is generated, airfoils do help demonstrate clearly the relationship between increasing fluid velocity and decreasing fluid pressure. As an air mass hits the leading edge of an airfoil, the mass of air separates, with air flowing above the airfoil and air flowing below. The air moving above the airfoil moves faster (has a greater velocity) than the air flowing beneath. As described by Bernoulli’s Principle, the faster-moving air has a lower pressure than the slower-moving air beneath the airfoil. The higher-pressure fluid beneath the airfoil pushes upward, and the airfoil experiences lift. A Common Fallacy of Lift Unfortunately, a large number of sources provide an inaccurate explanation of the physical basis for airplane lift. This has led to widespread misconceptions about this phenomenon. Inaccuracy in applying Bernoulli’s Principle to lift lies in the mistaken notion that molecules of a fluid that separate from one another at the leading edge of an airfoil will meet up again at the same time at the trailing edge. The thinking continues that because the upper surface of the airfoil is longer (typically curved) than the lower surface, molecules traveling over the top surface must travel faster to meet up at the same time with the molecules passing under the lower surface. But data show, in fact, that the fluid above an airfoil is actually moving faster than necessary to keep pace with the molecules moving beneath the airfoil. In other words, when the molecules separate from one another at the leading edge of the wing, the molecules that travel across the top of the wing reach the trailing edge faster than their “counterparts” traveling under the wing. The following figure supports this observation. E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 5 E3.1.1.1. Physics: B. Fluid Mechanics & Aerodynamics Activity: Bernoulli’s Principle Experiments Experimental Observation of Air Velocities Over and Under a Wing 50 70 air flow 10 30 50 70 time elapsed from start (milliseconds) The general idea of lower pressure above the airfoil and higher pressure below the airfoil due to differences in velocity is supported by evidence. The figure above shows a wing centered in a wind tunnel with air moving from left to right. The colors represent bands of colored smoke applied in separate bursts at different times at the leading edge of the wing. For example, the red smoke was applied first, the purple smoke second, the orange smoke third, and the blue smoke last. At the instant shown in the figure, the red smoke has traveled to the far edge of the wing 70 milliseconds after it was injected. The figure shows several interesting things. The air molecules traveling over the top of the wing moved at a much greater velocity than the air molecules traveling underneath the wing. The relative positions of the two bands of red smoke represent this relatively large difference in velocity. In addition, the staggered positions of the bands clearly prove that the air molecules that separate from each other at the leading edge of the wing do not meet up again at the trailing edge. Interestingly, some scientists argue that if the fluid molecules above the airfoil traveled only fast enough to meet back up with same group of molecules, the resulting pressure difference would not be large enough to generate adequate lift. E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 6 E3.1.1.1. Physics: B. Fluid Mechanics & Aerodynamics Activity: Bernoulli’s Principle Experiments Lesson Reminder Note: Time may not allow for all stations to be completed. Many of the stations are similar and Instructors may choose which stations to include. It is not necessary to accomplish all nine stations for this lesson. Group students in pairs. Explain to students they will use the Task Cards at each station to guide them through the procedures they are to complete. Remind students that all data, observations and answers should be recorded in their Activity Log. Explain the movement pattern among stations and the expected student behavior. Have students identify and proceed to their first station. The teacher should monitor student movement and assist at individual stations as needed. Some stations will require more direct supervision. Pose applicable Strategic Questions to student as they work at the stations. This is a discovery lesson. Students will learn about Bernoulli’s Principle and how concepts of fluid dynamics explain why an airfoil creates lift. Students first move through a series of discovery stations and discover similarities when they compare areas of faster moving fluids to areas of slower moving fluids. Students will then apply this concept to explain lift. Station: Computer Animation Note: All students must complete all stations selected by the Instructor. For example, if the Instructor has selected 6 of the 9 stations, then all students will complete 6 stations. If the Instructor selects 8 stations for this lesson, then all students will complete 8 stations. Station: Lift Station: Wing It Station: Ships in a Tank Station: Level Climb Station: Ping and Pong Station: Paper Bridge Station: Paper Tent Station: Sticky Papers E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 7 E3.1.1.1. Physics: B. Fluid Mechanics & Aerodynamics Activity: Bernoulli’s Principle Experiments Station: Computer Animation Materials: • Computers • Animation of fluid flow in different pipe shapes • Student Activity Log • Pencil Note: This station needs direct supervision. Students may need assistance in interpreting the graphs. You may wish to point out to students that “velocity” is how fast something is moving and in what direction it is moving. Teacher Preparation Load each computer with the animation found at: http://home.earthlink.net/~mmc1919/venturi.html. Activity Students will experiment with moving the yellow squares or “handles” to change the pipe shape. Graphs below the pipe cutout view show the effect of pipe shape on velocity of the fluid, fluid pressure, and flow rate. “Area” refers to the area of a cross section of the pipe. Students are viewing a longitudinal section of the pipe, not a cross section, but they can be guided to see the relationship between a change in area and a change in pressure. Explain to students that for this station, they will be examining what happens to a fluid as it moves through pipes of different shapes and sizes. Students can choose a wide variety of shapes for the animation. To focus their attention, the following shapes are suggested for students to explore. Shape Title Narrow pipe widens “Rocket nozzle” Wide pipe becomes narrower Ask: What do you notice as you make a section of pipe wider? Refer to curves below the animation for Pressure, Flow Rate, Area, and Velocity. (Possible answer: The fluid flows more slowly; flow rate does not change; velocity decreases; pressure slightly increases.) Ask: What do you notice when you make a section of pipe narrower? Possible answer: The fluid flows faster; area decreases; flow rate does not change; velocity increases; pressure decreases E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 8 E3.1.1.1. Physics: B. Fluid Mechanics & Aerodynamics Activity: Bernoulli’s Principle Experiments Strategic Questions: 1. What happens to the fluid velocity when the fluid moves from a narrow pipe to a wide pipe? (Fluid velocity decreases.) 2. What happens to the fluid pressure (as shown on the graph below the animation) when the fluid moves from a narrow pipe to a wide pipe? (Pressure increases.) What’s Going On? In this activity, students explore the effect of fluid flow as they change the dimensions of the pipe containing fluid. Below the animated pipe is a graph showing the velocity, pressure, flow rate, and cross-sectional area at each point in the pipe. These are updated each time the student makes a change in the pipe dimensions. The animation shows that fluid velocity and pressure are inversely related. Each time a change is made that slows the fluid velocity, the pressure of the fluid increases. When the fluid velocity is increased, the pressure decreases. The inverse relationship between fluid velocity and pressure is clearly demonstrated. 3. Do you think this applies for any pipe shape that goes from a narrow start to a wide ending? (Yes. Have students try this.) 4. What do you think happens if you reverse the situation and go from a wide start to a narrow end? (The reverse happens. Pressure decreases and velocity increases.) E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 9 E3.1.1.1. Physics: B. Fluid Mechanics & Aerodynamics Activity: Bernoulli’s Principle Experiments Station: Lift Materials: • Digital Scale • Electric Blower w/dual speeds • Student Activity Log • Pencils • Dimension 3D Manufactured Base • Dimension 3D Manufactured Airfoil • Anamometer (windmeter optional) Strategic Questions: 1. What change did you observe in the scale reading when the air flow increased? (The scale reading decreased.) 2. Why do you think this change occurred? (An upward force acted on the airfoil to lift it. Therefore, the scale did not register as great a downward force by the assembly due to gravity.) Teacher Preparation This activity was designed and manufactured using the Dimension 3D Printer—you may download the airfoil and baseplate STL file located on the DoD website. If you do not have a Dimension 3D Printer, please locate a site to print a base and airfoil for you. Activity This activity might be best handled by having an adult present to explain to students how they will carry out this activity. Stepby-step procedures are provided on the Task Card for this station. After assembling the base plate and support rod, students will measure the mass of the airfoil and support assembly. They will alternately direct slow-moving and fast-moving air from the electric blower at the leading edge of the airfoil and note in their Activity Logs any changes in the reading on the scale. If desired, an anamometer can be used to measure the speed of the air from the electric blower, although this is not critical. Guide students using the Strategic Questions. What’s Going On This activity tests the amount of lift that takes place at different air velocities. Students observe that the scale reading for the airfoil assembly decreases as they increase the speed of the air blower directed at the airfoil. This demonstrates that the downward force due to gravity is being offset by an upward force due to lift. The upward force increases with increasing air velocity. It is important to emphasize to students that the mass of the object does not change; mass is constant. What they are observing is the change in forces on the object. 3. Which gives more lift: slow-moving air or fastmoving air? (Fast-moving air gives more lift.) E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 10 E3.1.1.1. Physics: B. Fluid Mechanics & Aerodynamics Activity: Bernoulli’s Principle Experiments Station: Wing It Teacher Preparation Suggestion—a Styrofoam block may be used as the base instead of making the cardboard base. Materials: • Regular weight copy paper • 13 cm x 25 cm corrugated cardboard • Ruler • Bamboo skewers (shish kebab sticks, available in grocery stores) or knitting needles • Clear tape 1. Build a base to use as wing testers. a. With a 13 cm x 25 cm piece of corrugated cardboard, make a fold at 5 cm, 10 cm, and 15 cm from the end. b. Fold the cardboard into a box-like structure with open ends shaped like a trapezoid with the widest edge on the bottom. c. Tape the structure together into this shape. d. Make two dots 7.5 cm apart in the center of the top of the cardboard base. • Scissors • Pencil • Small electric fan or hair dryer e. Push the rods (skewers or knitting needles) through the top of the base at the dots. Make sure that the rods are straight with the ends secured in the bottom of the base to keep them stationary. • Cardboard, cardstock, manila file folder or heavy weight paper 10 cm x 15 cm or larger f. Place the pencil-top erasers on the sharp ends of the skewers or knitting needles for safety. • Pencil-top (cap) erasers 2. Make the wing • Student Activity Log Note: a. Draw a line across a sheet of 21.5 cm x 28 cm paper, 15 cm down from the top (so you have two unequal parts—one 15 cm x 21.5 cm and one 13 cm x 21.5 cm). b. Make a light fold along the line--do not crease heavily. Direct supervision is advised. c. Bring the corners of the paper together, causing the longer side to arch. Tape the ends of the paper together. The wing should have a gentle curve on the upper surface. d. Line up the wing over the rods on the base and mark where the rods should protrude through. With the pencil, poke holes through the paper both the upper and lower sides of the wing—the holes should be big enough for the yellow part of the pencil to fit through. 3. Set the fan on the table. E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 11 E3.1.1.1. Physics: B. Fluid Mechanics & Aerodynamics Activity: Bernoulli’s Principle Experiments 4. Anchor the base in front of the fan. It can be taped or anchored with a book. 5. Remove the erasers, and slide the wing all the way down the rods to the cardboard base. Replace the erasers. The wing should be curved on the top and flat on the bottom. You may choose to experiment with different positions. Activity Explain to students how they will carry out this activity, demonstrating as appropriate. Explain that they will use a fan or hair dryers to blow a fast, steady stream of air at the improvised wing and make observations of the results. Then they will use a card to block the air flow and observe how the wing moves in response. Remind students to record their observations in their Activity Logs. What's Going On The shape of an airplane wing helps create the force necessary to lift an airplane into the air. Airplane wings are specially designed to provide the upward force called lift. Air molecules travel faster over the long top of the wing. When the molecules move faster over a greater distance, they are more spread out (less dense). When molecules move, they put pressure on whatever they strike. The more molecules that strike the object, the more pressure or force there is on the object. Because there are more air molecules per centimeter along the bottom of the wing, the pressure of the molecules hitting the bottom of the wing is greater than the pressure from the less dense layer of molecules on the top surface of the wing. This pressure difference causes the wing to be pushed or lifted upward. Daniel Bernoulli developed the physical principle that describes this phenomenon in 1783. He discovered that increasing the velocity of a gas (or liquid) would lower its pressure. Thus, most airplane wings are designed to take advantage of air pressure differences. E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 12 E3.1.1.1. Physics: B. Fluid Mechanics & Aerodynamics Activity: Bernoulli’s Principle Experiments Station: Ships in a Tank Materials: • Aquarium fish tank or other large container for holding water • Water fountain pump • Rubber tubing • Nozzle adapter • GFCI power strip Teacher Preparation 1. For safety reasons, a GFCI extension cord should be used. 2. Attach nozzle to water outlet using approximately 2 cm of plastic tubing. 3. Tape pump to inside of aquarium, centered as shown in the photo. 4. Fill the aquarium to make sure the nozzle on the pump is 1/2 centimeter under the water and not on the water surface. 5. If boats are made out of wood, coat them with water-proofing or paint. • String 6. Attach the eyelet to the bow of the boat. • Coffee stirs approx 20 cm long 7. Thread the string through the coffee stir and place the coffee stir so that it floats on top of the water surface over the nozzle opening – see diagram. Tape one side of the string down to the side of the tank. Now thread the eyelets that are attached to the bow of the boats through the coffee stir. Tape the string to the other side of the tank. • Tape, black electrical • Paper towels • Two small toy boats with eyelets attached at the bow – wooden boats work best • Pencil • Student Activity Log Activity Explain to students how they will carry out this activity. Be sure that students make and record their predictions before they begin the activity. Instruct students to begin only when the water is calm and the boats are positioned correctly. Remind students to record their observations in their Activity Logs. What’s Going On Bernoulli’s Principle is illustrated by the direction of movement to the two boats in response to the flow of water. When the pump is turned on, it creates a fast-moving flow of water in between the two boats. The water surrounding the boats moves much more slowly. This creates an area of low pressure in between the boats and the two boats move in the direction of this low pressure. This phenomenon must be considered by naval vessels that need to come into close contact while they are moving. Two ships involved in “underway replenishment”, a method of ship-to-ship transfer of cargo, provide a real world example. In an underway replenishment maneuver, two ships drive along side each other at close distances. The curved sides of the ships form a nozzle E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 13 E3.1.1.1. Physics: B. Fluid Mechanics & Aerodynamics Activity: Bernoulli’s Principle Experiments Note: Direct supervision is advised. that results in an increase in velocity of the water flowing between them. This increased water velocity results in decreased water pressure between the two ships, causing the ships to tend to drift toward one another. The ships need to be steered very carefully in order to compensate for these changes in water pressure. E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 14 E3.1.1.1. Physics: B. Fluid Mechanics & Aerodynamics Activity: Bernoulli’s Principle Experiments Station: Level Climb Materials: • Modified straws, 1 per student (straws need to be transparent to see level of water) • Water • Student Activity Log • Pencil Strategic Questions: 1. Did the water level in the straw change? (Yes, it moved up the straw.) 2. Why do you think this change occurred? (An upward force acted on the water to cause it to move upward.) 3. If you think about a house chimney like the straw in this activity, how would a strong gust of wind blowing across the top of the chimney affect the air in the fireplace below? (Fast-moving air will create an area of low pressure at the top of the chimney and cause the air in the fireplace below to move up the chimney.) Teacher Preparation 1. Snip the straws with a pair of scissors making sure you do not cut fully through the straw. The cut needs to leave a small piece of straw intact so that after the cut, the two halves stick together. The piece that attaches the two straws needs to be flexible. 2. Fill glasses 1/3 full of water. Activity This activity might be best handled by having an adult present to explain to students how they will carry out this activity and demonstrating as appropriate. Explain that they will place a straw in the glass and bend the sections of the straw to form a right angle. Emphasize to students that they should use a fresh straw, not one that has been used by another student. They will blow through the straw mouthpiece in the horizontal portion and observe the liquid level in the vertical portion. Remind students to record their observations in their Activity Logs. Guide students using the Strategic Questions. What’s Going On As students blow air through the horizontal straw section, they created a fast–moving blast of air. This moving air creates a region of lower pressure centered above the vertical straws opening. The surrounding air presses down with the same pressure on the exposed liquid surface in the glass but the pressure at the top of the straw decreases. E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 15 E3.1.1.1. Physics: B. Fluid Mechanics & Aerodynamics Activity: Bernoulli’s Principle Experiments Station: Ping and Pong Teacher Preparation 1. Tape one ping pong ball to each 20.0 cm length of string 2. Tape the other end of the pieces of string to the ruler 6.0 cm apart. Materials: • 2 Ping Pong balls • Tape • Two 20–cm lengths of string • Ruler or meter stick • Student Activity Log • Pencils Note: Inflated balloons can be used instead of ping pong balls. If you have a drafty room, add a little water before inflating the balloons. This will help stabilize them. Lengths of string will need to be increased. With balloons, a meter stick may work better than a ruler. Activity Explain to students how to carry out this activity, demonstrating as appropriate. Show them how they will hold the ping pong balls and ruler about 20.0 cm in front of their mouths. Tell them that before they carry out the procedure, they will need to predict what will happen when they blow air at the ping pong balls. Then describe how students will blow an airstream at the gap between the two balls. Remind them to record their observations in their Activity Logs. What’s Going On Most students will predict that the ping pong balls will move apart as the air pushes between them. The balls don’t separate, however. Instead the balls act as if they are attracted to each other. The airstream that moves between the balls has lower pressure than the surrounding air. This difference in pressure causes the surrounding air to push inwards on the stream. The ping pong balls are pushed into the lower pressure area. E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 16 E3.1.1.1. Physics: B. Fluid Mechanics & Aerodynamics Activity: Bernoulli’s Principle Experiments Station: Paper Bridge Teacher Preparation 1. Place the piece of paper on top of the two books so the ends of the paper rest on the edge of each book. 2. Secure only one side with tape. Materials: • One 21.5 cm x 28 cm piece of paper • Two large books or other objects at least 5.0 cm thick • Straws (one per student) • Student Activity Log Activity Explain to students how they will carry out this activity, demonstrating as appropriate. Describe how they will use a straw to blow a fast, steady stream of air underneath the suspended piece of paper. Remind students to record their observations in their Activity Logs. What’s Going On As the student blows a steady stream of fast-moving air underneath the paper bridge, a difference in air pressure is produced. The higher pressure on top of the paper pushes the paper into the lower pressure area. • Pencil E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 17 E3.1.1.1. Physics: B. Fluid Mechanics & Aerodynamics Activity: Bernoulli’s Principle Experiments Station: Paper Tent Teacher Preparation 1. Fold a piece of paper lengthwise. 2. Set folded piece of paper on a flat surface like a pup tent. 3. Secure one side only with tape. Materials: • One 21.5 cm x 28 cm piece of paper • Straws (one per student) • Tape • Student Activity Log • Pencil Activity Explain to students how they will carry out this activity, demonstrating if necessary. Describe how they will use a straw to blow a fast, steady stream of air underneath the paper tent. Remind them to record their observations in their Activity Log. What’s Going On Students might expect to see the paper move in an upward direction. However, the rapidly moving air underneath the paper creates an area of lower pressure than that of the surrounding air. The “tent’ falls or flattens slightly as a result. E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 18 E3.1.1.1. Physics: B. Fluid Mechanics & Aerodynamics Activity: Bernoulli’s Principle Experiments Station: Sticky Papers Teacher Preparation Set up the station with two strips of paper for each student. Activity Materials: • 2 pieces of paper for each student • Student Activity Log • Pencil Explain to students how they will carry out this activity, demonstrating if necessary. Describe how they will hold one strip of paper in each hand at the level of their forehead. The strips of paper should be parallel to one another flat sides facing and pointed away from the student’s face. With the pieces of paper oriented this way, students should blow air in a steady fashion between the strips of paper and observe how the paper strips move in response to the air flow. Remind students to record their observations in their Activity Logs. What’s Going On Students will likely predict that the pieces of paper will be pushed apart by the air moving between them. If students direct an airstream at the gap, however, the strips of paper will move toward each other due to the creation of a low pressure area between them. E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 19 E3.1.1.1. Physics: B. Fluid Mechanics & Aerodynamics Activity: Bernoulli’s Principle Experiments Completion of Station Rotations All students return to their group tables. Class discussion follows. Sample Class Discussion Questions Ask: In what direction did you expect the two paper strips to move? (away from each other) In what direction did they move? (toward each other) Note: Many of the activities are quick and easy to repeat in front of the class as a way to remind students about their earlier experiences. How did you change the air between the strips of paper? (by blowing) Did the air move/flow faster when you blew hard or soft? (the harder you blew, the faster the air flowed) How did the behavior of the papers change as you changed how the air was flowing? (the harder you blew, the closer the papers moved toward each other) Flowing air has a lower pressure than stationary air. What evidence did you see of a change in air pressure? (paper strips moved even though you weren’t blowing directly on them) In these experiments, did the objects move toward or away from the faster-moving fluid? (toward the faster-moving fluid) Relate Bernoulli’s Principle to Airfoil and Lift Explain: A wing is very effective at changing the speed of the air as it flows along the wing’s upper and lower surfaces. The air above the wing moves at a higher velocity than the air below the wing. Bernoulli’s Principle states that air moving at high velocity is lower in pressure than air moving at low velocity. Air passing above and below the wing does not do so in equal time. E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 20 E3.1.1.1. Physics: B. Fluid Mechanics & Aerodynamics Activity: Bernoulli’s Principle Experiments Strategic Questions: Explain why some shower curtains are pulled into the shower when the water is flowing out of the showerhead. (A low-pressure area is created where the water is flowing out of the shower head. The shower curtain is in a high-pressure area. If the material of the curtain is lightweight, it will move to the low-pressure area.) Draw or project a sketch of an airfoil on the board. (see sample below) Discuss with students as you draw and label your sketch. This is an opportunity for students to apply what they learned during the activities. On the cross section of the wing, label the following: Indicate the airflow above and below the wing with arrows. Label the faster-moving air above the airfoil with the word faster. Label the slower-moving air below the airfoil with the word slower. Label the low pressure area above the airfoil with the word low pressure. Label the high pressure area below the airfoil with the word high pressure. Draw an arrow pointing up and label it with the word lift. Faster Low Pressure Air Flow Slower High Pressure Lift Conclusion Guide students to generalize that in each activity the objects moved toward the faster-moving fluid because the faster– moving fluid had lower pressure. The faster the fluid flows, the lower the pressure goes. Objects tend to move from areas of high pressure toward areas of low pressure. E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 21 Fluid Mechanics & Aerodynamics Activity Activity Log Station: Computer Animation 1. What do you notice as you increase the width of a section of the pipe? ___________________________________________________________________ 2. What do you notice when you decrease the width of a section of the pipe? ___________________________________________________________________ 3. Draw two pipes showing how you changed the fluid flow. Explain how the velocity and pressure changed in each case. ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ Station: Lift Blower Off Blower Slow Speed Blower High Speed Digital Scale Reading 1. How did the scale reading change as you increased the blower speed? ___________________________________________________________________ 2. Explain your observations. ___________________________________________________________________ ___________________________________________________________________ 3. Were you surprised by the changes you observed? Explain. ___________________________________________________________________ E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 22 Fluid Mechanics & Aerodynamics Activity Activity Log Station: Ping and Pong 1. Predict what will happen when you blow a steady stream of air between the two ping pong balls. ___________________________________________________________________ 2. What actually happened? ___________________________________________________________________ 3. Why do you think the ping pong balls moved the way they did? ___________________________________________________________________ Station: Paper Bridge 1. Predict what will happen when you blow a steady stream of fast air underneath the paper bridge. ___________________________________________________________________ 2. What actually happened? ___________________________________________________________________ 3. Why do you think the paper reacted that way? ___________________________________________________________________ Station: Wing It 1. What happened to the wing when the fan was turned on? ___________________________________________________________________ 2. What happened to the wing when the flow of air was blocked by the card? ___________________________________________________________________ E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 23 Fluid Mechanics & Aerodynamics Activity Activity Log Station: Level Climb 1. What happens to the liquid as you blow into the horizontal straw? ___________________________________________________________________ 2. Why do you think this happens? ___________________________________________________________________ Station: Ships in a Tank 1. What is your prediction? ___________________________________________________________________ 2. What happens when the water flow between the boats is increased? ___________________________________________________________________ 3. Why do you think the boats moved the way they did? ___________________________________________________________________ Station: Paper Tent 1. What do you expect to happen? ___________________________________________________________________ 2. What happens when you blow air under the tent? ___________________________________________________________________ 3. Why do you think the tent moved the way it did? ___________________________________________________________________ E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 24 Fluid Mechanics & Aerodynamics Activity Activity Log Station: Sticky Papers 1. In what direction did you expect the two papers to move? ___________________________________________________________________ 2. In what direction did they move? ___________________________________________________________________ 3. Did the air move/flow faster when you blew hard or soft? ___________________________________________________________________ 4. How did the behavior of the papers change as you blew hard and then soft? ___________________________________________________________________ ___________________________________________________________________ E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 25 Fluid Mechanics & Aerodynamics Activity Key Activity Log Station: Computer Animation 1. What do you notice as you increase the width of a section of the pipe? Answers will vary. Students may notice that the velocity of the particles slows down and that the pressure increases. 2. What do you notice when you decrease the width of a section of the pipe? Answers will vary. Students may notice that the velocity of the particles speeds up and that the pressure decreases. 3. Draw two pipes showing how you changed the fluid flow. Explain how the velocity and pressure changed in each case. Answers will vary depending on what shapes the students create. Station: Lift Blower Off Blower Slow Speed Blower High Speed Digital Scale Reading 1. How did the scale reading change as you increased the blower speed? The reading on the scale decreased as the blower speed was increased. 2. Explain your observations. The assembly was lifted farther into the air as air speed was increased. This meant that it was not putting its full weight on the scale. 3. Were you surprised by the changes you observed? Explain. Most students will not be surprised. They will be able to visualize this result ahead of time. E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 26 Fluid Mechanics & Aerodynamics Activity Key Activity Log Station: Ping and Pong 1. Predict what will happen when you blow a steady stream of air between the two ping pong balls. Most students will predict that the balls will move away from each other. 2. What actually happened? The balls moved closer together. 3. Why do you think the ping pong balls moved the way they did? The change in air flow created a force that made them move together. Station: Paper Bridge 1. Predict what will happen when you blow a steady stream of fast air underneath the paper bridge. Most students will predict that the paper will move upward. 2. What actually happened? The paper dropped down slightly into the space between the books. 3. Why do you think the paper reacted that way? The change in air flow created a force that made the paper move in a downward direction. Station: Wing It 1. What happened to the wing when the fan was turned on? The wing moved up the assembly. 2. What happened to the wing when the flow of air was blocked by the card? The wing moved back down the assembly. E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 27 Fluid Mechanics & Aerodynamics Activity Key Activity Log Station: Level Climb 1. What happens to the liquid as you blow into the horizontal straw? The liquid moves up the straw. 2. Why do you think this happens? A change in forces on the liquid and the top of the vertical straw made it move. Station: Ships in a Tank 1. What is your prediction? Answers may vary. Most students will predict that the boats will stay in the same place. 2. What happens when the water flow between the boats is increased? The boats are drawn together. 3. Why do you think the boats moved the way they did? Answers may vary. Students may be aware that a new force developed that made the boats move together. Station: Paper Tent 1. What do you expect to happen? Answers may vary. Most students will be surprised that the paper drops. They expect the paper to move up, not down. 2. What happens when you blow air under the tent? The tent falls. 3. Why do you think the tent moved the way it did? A new force was created by the moving air that made the paper move. E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 28 Fluid Mechanics & Aerodynamics Activity Key Activity Log Station: Sticky Papers 1. In what direction did you expect the two papers to move? Most students will expect to see the papers move away from one another. 2. In what direction did they move? The papers moved together. 3. Did the air move/flow faster when you blew hard or soft? The air moved faster when I blew hard. 4. How did the behavior of the papers change as you blew hard and then soft? The papers moved closer together the harder I blew. E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 29 Station Task Card: Computer Animation Complete this station with a teammate. 1 2 3 CHANGE the shape of the pipe by clicking and dragging the yellow squares or “handles.” Look at the how the pressure, flow rate, and velocity are affected by the pipe shape. ANSWER the questions in your Activity Log. E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 30 Station Task Card: Lift Complete this station with a teammate. 1 2 Assemble base plate and support rod. 3 Place airfoil on support assembly and weigh. Place entire assembly on the scale and record the scale reading in Activity Log. 4 Position blower at leading edge of airfoil and direct slow speed airstream over the wing. 5 Note any change in the scale reading and record data in Activity Log. 6 Position blower at leading edge of airfoil and direct fast speed airstream over the wing. 7 Note any change in the scale reading and record data in Activity Log. 8 Answer remaining questions in the Activity Log. Turn on digital scale, set scale to measure grams, and zero. E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 31 Station Task Card: Wing It Complete this station with a teammate. 1 2 Turn on the fan and observe the wing for 15-90 seconds. 3 This time, when the wing is halfway up the rods, hold a card in front of the wing to block the wind from the upper surface. 4 5 6 Try to block the wind in different ways. Record your observations in your Activity Log. Observe for 15-90 seconds. Answer remaining questions in the Activity Log. E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 32 Station Task Card: Ships in a Tank Complete this station with a teammate. 1 2 Predict what will happen to the two boats when you turn on the pump. Write your prediction in your Activity Log. 3 Make sure the boats are centered and that the bow of each boat is facing the water outlet. 4 Make sure the water is calm and boats are not moving before you turn on the pump. 5 6 Turn on the pump and observe movement of the boats. Record observations in your Activity Log. E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 33 Station Task Card: Level Climb Complete this station with a teammate. 1 Place the modified straw in the glass with water. 2 Bend the two sections of the straw so they form a right angle. 3 Blow through the horizontal straw mouthpiece. 4 Observe the level of the liquid in the vertical section. 5 Answer questions in your Activity Log. E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 34 Station Task Card: Ping and Pong Complete this station with a teammate. 1 2 Hold the ping pong balls and ruler about 20 cm in front of your mouth. Make a prediction and write it in your Activity Log. If you blow an airstream directly at the gap between the two balls, how will the balls move? 3 Blow a steady stream of air between the two balls. 4 Answer remaining questions in your Activity Log. E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 35 Station Task Card: Paper Bridge Complete this station with a teammate. 1 Predict what will happen when you blow a steady stream of fast air underneath the paper bridge and write it in your Activity Log. 2 Use a straw to blow a steady stream of fast air underneath the suspended piece of paper. 3 Answer remaining questions in your Activity Log. E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 36 Station Task Card: Paper Tent Complete this station with a teammate. 1 Use a straw to blow a steady stream of fast air underneath the paper tent. 2 Answer questions in your Activity Log. E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 37 Station Task Card: Sticky Papers Complete this station with a teammate. 1 2 Hold both ends of two paper strips sideways by their ends – one in each hand. The strips should be about 7 centimeters apart. Your hands should be forehead level. Blow steadily between the strips of paper. Answer questions in your Activity Log. E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 38 Fluid Mechanics & Aerodynamics Assessment Suggested Final Assessment Questions 1. Name 3 fluids. 2. According to Bernoulli’s Principle, how does the pressure of a fluid change if its velocity increases? 3. In which direction do objects tend to move in a flow of air toward areas of high pressure or toward areas of low pressure? 4. When and why does lift occur? E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 39 Fluid Mechanics & Aerodynamics Assessment Key Suggested Final Assessment Questions Knowledge 1. Name three fluids. Possible answer: Three fluids might be: air, water, juice. Comprehension 2. According to Bernoulli’s Principle, how does the pressure of a fluid change if its velocity increases? Possible answer: If a fluid’s velocity increases, its pressure decreases. Analysis 3. In which direction do objects tend to move in a flow of air toward areas of high pressure or toward areas of low pressure? Possible answer: Objects tend to move in the direction of low pressure. Application 4. When and why does lift occur? Possible answer: Lift occurs when the air pressure underneath an object is higher than the air pressure above the object. The difference in air pressure causes the object to move in the direction of lower pressure. This results in lift. E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 40 E3.1.1.1. Physics: B. Fluid Mechanics & Aerodynamics Activity: Bernoulli’s Principle Experiments Resources: http://http://home.earthlink.net/~mmc1919/venturi.html http://www.grc.nasa.gov/WWW/K-12/airplane/bernnew.html http://www.av8n.com/how/htm/airfoils.html http://www.maths.tcd.ie/pub/HistMath/People/Bernoullis/RouseBall/RB_Bernoullis.html http://www.scienceclarified.com E3.1.1.1. Physics: B. Fluid Dynamics & Aerodynamics 41
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