How Does the Type of Wing Affect a Dragster’s Performance? By Joey Dille 1/31/06 Preliminary ProblemWhat type of wing can make a Top Fuel Dragster go the fastest? HypothesisIf a dragster has an inverted airfoil spoiler with endplates, then it has the potential to go faster. Independent Variable- Type of spoiler, Angle of attack Constant Factors- Car body, Wind tunnel, Materials Control- Car with no spoiler (Car A) Dependent Variable- Amount of downforce and drag produced, in grams Number of Trials- No spoiler, Flat plate spoiler(4 angles of attack), Inverted airfoil spoiler(4 angles of attack), Inverted airfoil spoiler with endplates(4 angles of attack). 3 wind speeds per configuration. 36 total ProcedureI.Research 1.Aerodynamics 2.Spoilers III.Set up measurement devices (scales) 1.Downforce-scale 2.Drag-scale with bell crank 3.Measurements in grams and -grams IV.Make model car and wings out of wood 3.Physics of a dragster 1.Pine for car, Balsa for wings 4.How to build a wind tunnel 2.About a foot long 5.How to build a dragster 3.Plastic wheels 4.Platform for spoiler 6.How to make wings II.Make a wind tunnel 1.Out of plywood 5.Holes for angle of attack 6.Realistic V.Run Tests 2.Use two 3-speed fans for wind production 1.Four angles of attack per wing, 3 speeds for each angle of attack per test procedure 3.Square shaped 2.Control-car without any wing 4.Plexiglas window 5.Braces for added strength 6.Other features added from research VI.Collect data VII.Analyze and organize data VIII.Form conclusion IX.Communicate results Test1. ProcedureReceive instruction on use of wind tunnel from supervisor Mr. Evan of Strayer M.S. 2. Set up table to document results in computation book. 3. Open viewing window. 4. Mount wing at desired angle of attack. 5. Put model into tunnel. Make sure car is level. 6. Close viewing window. 7. Zero drag and lift sensors. 8. Crank fan speed up to 20mph. 9. Wait for readings to stabilize then document readings. 10. Crank fan speed up to 30mph. 11. Wait for readings to stabilize then document readings. 12. Crank fan speed up to 45mph. 13. Wait for readings to stabilize then document readings. 14. Turn off fan. 15. Open viewing window. 16. Remove model. 17. Repeat from step 3 until all wings and angles of attack are tested. What is a dragster? A dragster is a car designed specifically to travel as fast as it can in a straight line. The NHRA, or National Hot Rod Association, creates several “classes” of cars. Top Fuel dragsters are the fastest class of cars. The areas of any wings behind the front axels can be no more than 1500 in2 (.97 meters2) The weight at the end of the run, including the driver, has to be at least 2,225 lbs (1009.24 kgs) This is a Top Fuel Dragster What is a wing? A wing is a fancy name for a spoiler. Wings are added to cars to create downforce, or negative lift. On a car, this downforce helps the tires stick to the ground. What is a wind tunnel? A wind tunnel is a device used to test vehicles like planes and cars for certain variables without actually driving or flying them. Often, a scale model is used to show a car’s statistics at a certain speed. My dragster will be a model of a real one and will show the force of different wing designs. My wind tunnel My wind tunnel These are pictures of my wind tunnel Data Collecting at Strayer Middle School’s Wind Tunnel-1/12/06 My wind tunnel did not work, so I ended up testing here. Force Balance on Dragster Downforce Drag Traction Ground Force Gravity+Weight This diagram shows how various forces affect a dragster. Assumptions Prior to experimentation, several things must be assumed in order to keep things simple and on task 1. Simple model 2. No rolling friction 3. Assume constant acceleration 4. Traction limits acceleration How my equations work Using the force balance and other information from my research, I determined an equation that will determine the projected acceleration of my car. a=µgc+(µCl-Cd)(AρV2)/(2m) From my lift and drag measurements, I determine the coefficients of lift and drag (Cl and Cd) When all the variables are filled in, you get your acceleration. My Raw Data W ing Angle of Attack Speed (mph) Lift (-g) Drag (g) W ing 0 20 0 7 0 30 0 12 0 45 2 35 1 5 20 1 11 1 5 30 2 19 1 5 45 5 55 1 15 20 2 13 1 15 30 3 22 1 15 45 10 59 1 25 20 3 14 1 25 30 5 22 1 25 45 15 61 1 35 20 3 14 1 35 30 5 22 1 35 45 16 63 2 5 20 8 12 2 5 30 13 20 2 5 45 37 53 2 15 20 10 15 2 15 30 16 23 2 15 45 43 63 2 25 20 9 17 2 25 30 15 27 2 25 45 44 74 2 35 20 9 19 2 35 30 15 31 2 35 45 42 83 3 5 20 7 13 3 5 30 13 23 3 5 45 36 58 3 15 20 9 15 3 15 30 15 25 3 15 45 44 68 3 25 20 10 18 3 25 30 16 19 3 25 45 46 79 3 35 20 10 20 3 35 30 16 32 3 35 45 44 86 4 5 20 9 14 4 5 30 15 24 Lift (-N) W ing Drag (N) Speed in mps W ing Area (m2) 0 0 8.94 0 0 0 13.41 0 0 0 20.12 0 0.00981 0.03924 8.94 0.00268084 0.01962 0.06867 13.41 0.00268084 0.02943 0.1962 20.12 0.00268084 0.01962 0.05886 8.94 0.00268084 0.02943 0.0981 13.41 0.00268084 0.07848 0.23544 20.12 0.00268084 0.02943 0.06867 8.94 0.00268084 0.04905 0.0981 13.41 0.00268084 0.12753 0.25506 20.12 0.00268084 0.02943 0.06867 8.94 0.00268084 0.04905 0.0981 13.41 0.00268084 0.13734 0.27468 20.12 0.00268084 0.07848 0.04905 8.94 0.005003098 0.12753 0.07848 13.41 0.005003098 0.34335 0.17658 20.12 0.005003098 0.0981 0.07848 8.94 0.005003098 0.15696 0.10791 13.41 0.005003098 0.40221 0.27468 20.12 0.005003098 0.08829 0.0981 8.94 0.005003098 0.14715 0.14715 13.41 0.005003098 0.41202 0.38259 20.12 0.005003098 0.08829 0.11772 8.94 0.005003098 0.14715 0.18639 13.41 0.005003098 0.3924 0.47088 20.12 0.005003098 0.06867 0.05886 8.94 0.004987608 0.12753 0.10791 13.41 0.004987608 0.33354 0.22563 20.12 0.004987608 0.08829 0.07848 8.94 0.004987608 0.14715 0.12753 13.41 0.004987608 0.41202 0.32373 20.12 0.004987608 0.0981 0.10791 8.94 0.004987608 0.15696 0.06867 13.41 0.004987608 0.43164 0.43164 20.12 0.004987608 0.0981 0.12753 8.94 0.004987608 0.15696 0.1962 13.41 0.004987608 0.41202 0.50031 20.12 0.004987608 0.08829 0.06867 8.94 0.004827551 0.14715 0.11772 13.41 0.004827551 Position Results of My Model This data shows the physics of a dragster. Distance (m) 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 0 4.02336 8.04672 12.07008 16.09344 20.1168 24.14016 28.16352 32.18688 36.21024 40.2336 44.25696 48.28032 52.30368 56.32704 60.3504 64.37376 68.39712 72.42048 76.44384 80.4672 84.49056 88.51392 92.53728 96.56064 100.584 104.60736 108.63072 112.65408 116.67744 120.7008 124.72416 128.74752 132.77088 136.79424 140.8176 144.84096 148.86432 152.88768 156.91104 160.9344 Time (s) 0 0.506291 0.209712 0.161046 0.13588 0.119812 0.108409 0.099775 0.092946 0.087369 0.082705 0.078728 0.075286 0.072269 0.069597 0.067208 0.065057 0.063106 0.061326 0.059694 0.058191 0.0568 0.055509 0.054306 0.053181 0.052127 0.051137 0.050204 0.049323 0.048489 0.047699 0.046949 0.046236 0.045556 0.044908 0.044288 0.043696 0.043128 0.042584 0.042061 0.041559 Speed (m/s) 0 15.89347773 22.45484704 27.47680438 31.69990178 35.41122493 38.75813544 41.82824896 44.67870184 47.349216 49.86873822 52.25914037 54.5374298 56.71714364 58.8092676 60.82286363 62.76551186 64.64362999 66.46270912 68.22749141 69.94210616 71.61017563 73.23489846 74.81911618 76.36536688 77.87592892 79.35285683 80.79801111 82.21308304 83.59961562 84.95902124 86.29259674 87.60153629 88.88694254 90.14983615 91.39116418 92.61180735 93.81258641 94.99426775 96.15756837 97.30316023 Acceleration (m/s 2) Elapsed Time (s) Distance (m) 31.392 0 0 31.28745344 0.506290702 4.02336 31.18331461 0.716003178 8.04672 31.0795329 0.877049475 12.07008 30.97610118 1.012929811 16.09344 30.87301626 1.13274228 20.1168 30.77027604 1.241151205 24.14016 30.66787887 1.340926505 28.16352 30.5658233 1.433872382 32.18688 30.46410798 1.521241668 36.21024 30.36273166 1.60394628 40.2336 30.26169311 1.682674444 44.25696 30.16099112 1.757960696 48.28032 30.06062452 1.83023 52.30368 29.96059215 1.899826823 56.32704 29.86089287 1.967034974 60.3504 29.76152553 2.032091577 64.37376 29.66248901 2.09519715 68.39712 29.5637822 2.15652306 72.42048 29.46540397 2.216217123 76.44384 29.36735323 2.2744079 80.4672 29.26962886 2.33120803 84.49056 29.17222978 2.386716859 88.51392 29.07515489 2.441022537 92.53728 28.97840311 2.494203706 96.56064 28.88197335 2.546330872 100.584 28.78586453 2.597467541 104.60736 28.69007559 2.647671149 108.63072 28.59460546 2.696993847 112.65408 28.49945307 2.745483154 116.67744 28.40461735 2.793182512 120.7008 28.31009726 2.840131762 124.72416 28.21589173 2.886367547 128.74752 28.12199972 2.931923656 132.77088 28.02842019 2.976831331 136.79424 27.93515209 3.021119522 140.8176 27.84219438 3.06481512 144.84096 27.74954603 3.107943152 148.86432 27.657206 3.15052696 152.88768 27.56517328 3.192588353 156.91104 27.47344683 3.234147746 160.9344 NACA Airfoil This is a graph of the effect of angle of attack with a NACA airfoil Effect of Angle of Attack on Elapsed Time (NACA 2412 Airfoil) 6 Elapsed Time (seconds) 5 4 3 E.T. 2 1 0 0 5 10 15 Angle of Attack (Degrees) 20 25 Graph This is my graph of how the angle of attack of my wings affects the time at the end of the run, or elapsed time. Effect of Wing on E.T. 5.260 1/4 Mile Elapsed Time (seconds) 5.240 5.220 5.200 None 5.180 Wing 1 5.160 Wing 2 Wing 3 5.140 Wing 4 5.120 5.100 5.080 5.060 0 5 10 15 20 25 Angle Of Attack (Degrees) 30 35 40 Conclusions First of all, my hypothesis was disproved. I hypothesized that the inverted airfoil spoiler with endplates would have the lowest elapsed time. It was really the flat plate spoiler at 15°. I think this was because the endplates produce more lift, but end up causing too much drag. Possible sources of error for my experiment could have been that the speeds from the wind tunnel were not exact. Another thing was that I am not the best woodworker, so my wings could have been slightly off. Possible applications for my experiment would be at a real drag race.
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