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BIEN 501, Spring 2004
Course Schedule
Course Rules
Course Outline:
Note 1: Reading must be completed before the following lecture. I.e. you must read the “Handout on Vector Relations,” §1.1 and Appendix A.1 before class on the 10th.
Note 2: Homework is due on the day listed. I.e., the problems in the “Handout on Vector Relations” must be
turned in on March 10th.
Date
Topics
Wednesday, Syllabus and Introduction;
Stagnation Point Flow; Motion;
March 8
Continuum vs. statistical approaches; Pathlines, streamlines and streaklines
Friday,
March 10
Particles in stagnation flow.
Reference frames; Gas
transport in the lungs. Conservation of mass; The (Reynolds) transport theorem.
Reading
1. Handout on
vector relations (Word
Version)
2. §1.1
3. Appendix A.1
§1.2-1.3
Appendix A.2
Appendix A.3
Appendix B
Problems Due
Lecture Concept
Show how stagnation point
flow leads to specific pathlines, streamlines and
streaklines.
1. Handout on vector relations
(see March 8).
2. Signoff sheets
due.
Give equations for particle
motion in stagnation point
flow. Show how this relates
to reference frames. Show
Transport theorem for the
filling of an alveolus.
Monday,
March 13
Homework Grading; Couette
Flow. Jump mass balance.
Differential mass balance &
Stream functions.
Appendix A.4
§2.1-2.3
Wednesday, Poiseuille Flow, Stokes Flow,
March 15
Curvilinear Coordinates.
Types of forces. Momentum &
Moment of Momentum Balance. The Stress Tensor.
Appendix A.5,
Vectors and
Geometry
Handout
Friday,
March 17
Appendix A.6,
Appendix A.8.1,
Appendix A.9.1
Appendix A.11
§2.4 (pre/review the equations).
§3.1-3.2.2
Differential and jump momentum balances. Symmetry of
the stress tensor.
Homework Grading. NewtoMonday,
nian fluids, Bingham plastics
March 20
(toothpaste, blood), Corn
starch mixture. Behavior of
materials. Constitutive equation for stress, Generalized
Newtonian fluid.
Wednesday, Complete solutions for flow in
March 22
a tube and flow of a generalized Newtonian fluid in a tube
MatLab Tutorial,
§3.2.3-3.2.4
Homework 2 Due.
Show how the equation for
Couette flow obeys the differential mass balance equation. Refer back to stagnation point flow to show that
the stream functions fulfill
conservation of mass.
Use shell balance on
Poiseuille flow to obtain
momentum equation. Obtain momentum eq. via differential balance (Cartesian).
Motivate change of coordinates through Poiseuille and
Stokes flows. Show components of the stress tensor in
Cartesian and cylindrical coordinates.
???
Homework 3 Due
Demonstrate different behaviors of water, toothpaste
and cornstarch in water.
Show how these behaviors
are modeled through the
stress tensor.
Straightforward
Friday,
March 24
Complete Solutions: Tangential Annular Flow & Wall That
is Suddenly Set in Motion
Monday,
Homework Grading. ComMarch 27
plete Solutions: Rotating Meniscus & Creeping Flows –
Cone-Plate Viscometer;
Wednesday, Bernoiulli equation. Potential
March 29
flows. Review
Friday,
March 31
Monday,
April 3
Wednesday,
April 5
Friday,
April 7
Monday,
April 10
Exam 1 (Covers through §3.2)
Review:
1. Last Year’s
Midterm
2. Solutions
§3.5 – 3.5.2
Review of Exam. Boundary
layer theory – flat plate.
Womersley Flow
Womersley
Handout
§3.6
Stability
§5.1 – 5.2 & 5.4
Energy: Energy Balances,
Modes of Energy Transfer,
and Differential and Jump Energy Balances; Entropy:
Wednesday, Conduction in Semi-infinite
April 12
slabs, Flat Sheets, Rate of
freezing (melting).
Friday,
April 14
Monday,
April 17
§3.2.5, 3.33.3.2
Partial Differential Equations
§3.4 (all)
Easter Holiday
Easter Holiday
§6.1 – 6.2,
§6.3.3
§6.4 – 6.5
Handout on
Conduction
from a Sphere
Straightforward
Homework 4 Due
Homework 5 due.
Straightforward
Wednesday, Homework grading. Natural
April 19
convection. No convection.
Conduction from a sphere.
Friday,
Heat transfer at a boundary
April 21
layer.
Monday,
Homework grading. Mass
April 24
transfer introduction: Conservation of mass, momentum,
moment of momentum, and
energy, Entropy Inequality
Wednesday, Behavior of materials: ImplicaApril 26
tions of entropy, Energy and
mass flux vectors. Review
Friday,
Exam 2
April 28
Review of Exam. Behavior of
Monday,
materials: Binary mixtures,
May 1
Ideal solutions, Constitutive
equations for the stress tensor, Rates of reactions. Equations of mass transfer.
Wednesday, Differential Balances in Mass
Transfer: Energy and mass
May 3
transfer analogy, Film Theory,
Unsteady state evaporation
Friday,
May 5
Differential Balances in Mass
Transfer: Silicon oxidation;
Platelet synthesis and release
models.
§6.7 – 6.7.3
Homework 6 Due
§8.1-8.3
§8.4 – 8.4.4
§8.4.5 – 8.4.8
§8.5
9.1 – 9.3.1
§9.3.4
Platelet Inhibitor Synthesis
Model; and
Platelet Agonist
Release Model
§9.3.6 – 9.3.8
Homework 7 Due
Homework Grading.
Differential Balances in Mass
Transfer: Forced Diffusion in
Electrochemical Systems; Two
and Three-Dimensional Problems
Wednesday, Differential Balances in Mass
Transfer: Complete solutions for
May 10
multicomponent systems (Two
film theory, Evaporation, Metal
oxidation)
Boundary Layer Theory; Forced
Friday,
Convection in Dilute Solutions –
May 12
Diffusion with Reaction
§9.4 – 9.4.3
Monday,
May 15
Review Materaials, Final
Exam From
2004; Final Exam from 2005
Monday,
May 8
Krogh Cylinder
Wednesday, Review
May 17
Friday, May Final Exam
19
§9.5 – 9.6.2
Handout on
Krogh Cylinder
Homework 8 Due