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

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Louisiana Tech University Ruston, LA 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

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Louisiana Tech University Ruston, LA 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

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

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Louisiana Tech University Ruston, LA 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

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Louisiana Tech University Ruston, LA 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

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

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