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