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

2. Louisiana Tech University Ruston, LA 71272 Slide 2 General Sections 1.Fluid Mechanics 2.Heat Transfer 3.Mass Transport 4.Physiology a. Platelets b. Arteries/Veins c. Endothelial Cells d. Tissue Perfusion e. Dialysis f. Atherosclerosis

3. Louisiana Tech University Ruston, LA 71272 Slide 3 Fluid Mechanics 1.Poiseuille Flow/Couette Flow 2.Stoke’s Flow 3.Womersley Flow 4.Rectangular Channel 5.Bernoulli 6.Dean Flow 7.Lubrication Theory 8.Boundary Layer Theory 9.Time averaging 10.Momentum Transfer vs. Viscous Interaction

4. Louisiana Tech University Ruston, LA 71272 Slide 4 Mass Transport 1.Fick’s Law 2.Conservation of Mass 3.Platelet Release Response 4.Platelet Synthesis Response 5.Porous Media

5. Louisiana Tech University Ruston, LA 71272 Slide 5 Similarities Among Fluid/Mass Conservation of Mass Reynolds Transport Theorem Fick’s Law vs. Fourier’s Law Coordinate Systems Equations/Boundary Conditions Orthogonality Relationships/Sturm- Liouville Vectors/Tensors

6. Louisiana Tech University Ruston, LA 71272 Slide 6 Solutions to PDEs Separation of Variables Similarity Solutions Orthogonality Relationships Transform Methods (Laplace, Fourier) Linear vs. Non-linear Homogeneous vs. Non-Homogeneous 2 nd, 3 rd, 4 th Order Matching Boundary Conditions

7. Louisiana Tech University Ruston, LA 71272 Slide 7 Special Equations Bessel’s Equation Equidimensional Equation Sin, cos, sinh, sinh, e -ax Error functions/Gaussian Delta function