BIEN 501, Spring 2004

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BIEN 501, Spring 2004

Course Schedule

Course Outline:

Date	Topics	Reading	Problems Due
Wednesday, March 9	Reynolds Transport Theorem	Handout
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	2.6
Friday, March 18	Review, Homework	3.1-3.4	2A.2, 2A.3, 2B.11
Monday, March 21	Steady flow problems in curvilinear coordinates. Cone-plate viscometer, viscosity of blood,	3.5-3.7
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	6.1-6.3	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 f_b and f_u. 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	10.1-10.5
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		Handout
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		Handout
Monday, May 16	General Review		Final Exam From 2004
Wednesday, May 18	Final Exam
Friday, May 20	Summary

Term project:

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

It has a mathematical basis.
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.
It relates to your thesis topic.
It allows you to make calculations that predict the behavior of the system you are working on.
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.
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.

Writeup:

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.