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Final Exam Topics

This document discusses various topics related to fluid mechanics, heat transfer, mass transport, and physiology in the field of bioengineering. It covers areas such as platelets, arteries/veins, endothelial cells, tissue perfusion, dialysis, and atherosclerosis. Additionally, it explores concepts such as Poiseuille flow, Fick's law, conservation of mass, and solutions to partial differential equations.

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Final Exam Topics

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

  2. General Sections • 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

  3. Fluid Mechanics • 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

  4. Mass Transport • Fick’s Law • Conservation of Mass • Platelet Release Response • Platelet Synthesis Response • Porous Media Louisiana Tech University Ruston, LA 71272

  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 Louisiana Tech University Ruston, LA 71272

  6. 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

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

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