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BIEN 501, Spring 2004

Course Schedule


Course Rules


Course Outline:




Problems Due

Wednesday, March 9

Reynolds Transport Theorem



Friday, March 11

Viscosity, Poiseuille Flow (Shell Balance and Navier-Stokes Approaches)

1.1-1.3, 2.1-2.5

Handout on vector relations (review).

Monday, March 14

DP of an Artery, Shear Stress, Stokes Flow, Settling time for a blood cells



Wednesday, March 16

Derivation of Navier-Stokes Equations, curvilinear coordinate systems



Friday, March 18

Review, Homework


 2A.2, 2A.3, 2B.11

Monday, March 21

Steady flow problems in curvilinear coordinates. Cone-plate viscometer, viscosity of blood,



Wednesday, March 23

Womersley Flow, P(t) vs Q(t) in an artery, Review, Homework

Read MatLab Tutorial

3A.1, 3B.1a,   MatLab Tutorial

Friday, March 25

Easter Holiday



Monday, March 28

Easter Holiday



Wednesday, March 30

Stagnation point flow, Reynolds Decomposition, Turbulence and Stenosis

4.1-4.2, 5.1-5.3, Read Handout


Friday, April 1

Review, Homework

Journal Articles

Womersley Handout, 4B.1, 5C.1

Monday, April 4

Friction Factors, General Review



1. Last Year’s Midterm

2. Solutions

Wednesday, April 6

Midterm Exam 1



Friday, April 8

Review, Homework


Determine DP for the stenosis (to be specified).  Determine fb and fu.

Turn in Abstract for Term project.

Monday, April 11

Macroscopic Balance, Heat transfer equations, conductivity, heat flux

7.1-7.5, 8.1-8.2, 9.1-9.3, 9.7


Wednesday, April 13

Forced and free convection.  Equations of change for energy. Radiation



Friday, April 15

Review, Homework


6B.3, 6B.7, 7A.5, 10A.1, 10B.2, 10B.4

Monday, April 18

Equations of Change for Non-Isothermal Systems

11.1-11.4, 14.1-14.4


Wednesday, April 20

Radiation, convection and conduction.  Definition of concentration, Fick’s law of diffusion, diffusivity,

16.1-16.2, 17.1-17.3


Friday, April 22

Review, Homework


Prob. 10A.8, 10B.16, 10D.1, 11A.4, 14A.3

Monday, April 25

Oxygen electrode, Krogh cylinder



Wednesday, April 27

Platelet Inhibitor Synthesis Model; and Platelet Agonist Release Model



Friday, April 29

Review, Homework


16A.4, 18A.7, 18B.3

Monday, May 2

Neural Transmitter transport.



Wednesday, May 4

Controlled release of drugs



Friday, May 6

Review, Homework



Monday, May 9

Equations of change for a binary mixture

Ch. 18


Wednesday, May 11

Diffusion in time and space. Platelet release response.

Ch. 19

Term Project Due

Friday, May 13

Review, Homework



Monday, May 16

General Review


Final Exam From 2004

Wednesday, May 18

Final Exam



Friday, May 20






Term project:

Devise a physiological model for the thesis work that you are doing.  Your model must satisfy the following criteria:


  1. It has a mathematical basis.
  2. It has some physiological basis.  For example, it must require you to obtain physiological parameters from the literature, such as thermal conductivity, diffusivity, viscosity, electrical dialectric.
  3. It relates to your thesis topic.
  4. It allows you to make calculations that predict the behavior of the system you are working on.
  5. It allows you to compare a theoretical concept to measured data.  If you may not have measured data of your own at this point in time, you are allowed to use measured data that you find in the literature.
  6. It allows you to make some conclusions about the work you are doing.


While the focus of this course is on transport, heat conduction and fluid mechanics, the model you devise can be related to any branch of engineering as appropriate to your thesis.  For example, you may find it more appropriate to use a solid mechanical model or an electrical engineering model for the project you are working on.



Submit a writeup (estimated 10 pages, in ARIEL 12 point type, single spaced).  The format of the writeup will be that of a journal article (Abstract, Introduction, Methods, Results, Discussion, Conclusions).  Refer to the “Format for a Journal Article” for more details.