Final Exam Topics Steven A. Jones BIEN 501 Monday, May 12, 2008 Louisiana Tech University Ruston, LA 71272 Slide 1

Download Report

Transcript Final Exam Topics Steven A. Jones BIEN 501 Monday, May 12, 2008 Louisiana Tech University Ruston, LA 71272 Slide 1

Final Exam Topics
Steven A. Jones
BIEN 501
Monday, May 12, 2008
Louisiana Tech University
Ruston, LA 71272
Slide 1
General Sections
1.
2.
3.
4.
Fluid Mechanics
Heat Transfer
Mass Transport
Physiology
a. Platelets
b. Arteries/Veins
c. Endothelial Cells
d. Tissue Perfusion
e. Dialysis
f. Atherosclerosis
Louisiana Tech University
Ruston, LA 71272
Slide 2
Fluid Mechanics
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Poiseuille Flow/Couette Flow
Stoke’s Flow
Womersley Flow
Rectangular Channel
Bernoulli
Dean Flow
Lubrication Theory
Boundary Layer Theory
Time averaging
Momentum Transfer vs. Viscous Interaction
Louisiana Tech University
Ruston, LA 71272
Slide 3
Mass Transport
1.
2.
3.
4.
5.
Fick’s Law
Conservation of Mass
Platelet Release Response
Platelet Synthesis Response
Porous Media
Louisiana Tech University
Ruston, LA 71272
Slide 4
Similarities Among Fluid/Mass
•
•
•
•
•
•
Conservation of Mass
Reynolds Transport Theorem
Fick’s Law vs. Fourier’s Law
Coordinate Systems
Equations/Boundary Conditions
Orthogonality Relationships/SturmLiouville
• Vectors/Tensors
Louisiana Tech University
Ruston, LA 71272
Slide 5
Solutions to PDEs
•
•
•
•
•
•
•
•
Separation of Variables
Similarity Solutions
Orthogonality Relationships
Transform Methods (Laplace, Fourier)
Linear vs. Non-linear
Homogeneous vs. Non-Homogeneous
2nd, 3rd, 4th Order
Matching Boundary Conditions
Louisiana Tech University
Ruston, LA 71272
Slide 6
Special Equations
•
•
•
•
•
Bessel’s Equation
Equidimensional Equation
Sin, cos, sinh, sinh, e-ax
Error functions/Gaussian
Delta function
Louisiana Tech University
Ruston, LA 71272
Slide 7