COURSES TAUGHT DURING 2006-2007:
MEAM 302.
(CBE 350) Fluid Mechanics. Prerequisite(s): MATH 241 and PHYS 151.
Physical properties; fluid statics; Bernoulli equation; fluid kinematics; conservation laws and finite control-volume analysis; conservation laws and differential analysis ; inviscid flow; The Navier-Stokes equation and some exact solutions; similitude, dimensional analysis, and modeling; flow in pipes and channels; boundary layer theory; lift and drag.
ENM 511. Engineering Mathematics II. (B) Prerequisite(s): ENM 510 or equivalent.
Vector Analysis: space curves, Frenet – Serret formulae, vector theorems, reciprocal systems, co and contra variant components, orthogonal curvilinear systems. Matrix theory: Gauss-Jordan elimination, eigen values and eigen vectors, quadratic and canonical forms, vector spaces, linear independence, Triangle and Schwarz inequalities, n-tuple space.Variational calculus: Euler-Lagrange equation, Finite elements, Weak formulation , Galerkin technique, FEMLAB. Tensors: Einstein summation, tensors of arbitrary order, dyads and polyads, outer and inner products, quotient law, metric tensor, Euclidean and Riemannian spaces, physical components, covariant differentiation, detailed evaluation of Christoffel symbols, Ricci’s theorem, intrinsic differentiation, generalized acceleration, Geodesics.
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SELECTED PUBLICATIONS:
BOOKS:
"Transport Phenomena with Drops and Bubbles" (with S.S. Sadhal and J.N. Chung), Springer-Verlag, Inc., NY (1997).
"Introduction to Biofluid Mechanics," Chapter 17 in Fluid Mechanics, P.K. Kundu and I.M. Cohen, Academic Press, MA, (2007).
PAPERS:
"The dynamics of two spherical particles in a confined rotating flow: Pedaling motion," (with K. Mukundakrishnan and H. Hu), Journal of Fluid Mechanics, 599, 169-204 (2008).
"Bubble motion through a generalized power-law fluid flowing in a vertical tube," (with K. Mukundakrishnan and D.M. Eckmann), Annals of the New York Academy of Sciences, (In Press, 2008).
"Numerical models of blood flow effects in biological tissues," (with J.W. Baish and K. Mukundakrishnan), Advances In Numerical Heat Transfer 3, Editors: W.J. Minkowycz and E. M. Sparrow, (In Press, 2008).
"Numerical study of wall effects on buoyant gas-bubble rise in a liquid-filled finite cylinder," (with K. Mukundakrishnan, S. Quan and D.M. Eckmann), Physical Review E, 76: 036308 (2007).
“Optimal conditions for simulating microgravity employing NASA designed rotating wall vessels” (with K. Mukundakrishnan), Acta Astronautica, 60, 397-405 (2007).
“A Front Tracking Method for a Deformable Intravascular Bubble in a Tube with Soluble Surfactant” (with J. Zhang and D.M. Eckmann), J. Computational Physics, 214, 366-396 (2006).
“Gas Embolism and surfactant-based intervention: Implications for long duration space-based activity” (with D.M. Eckmann, J. Zhang, and J. Lampe), Interdisciplinary Transport Phenomenon in the Space Sciences, Annals of the New York Academy of Science, 256-269 (2006).
“Ground based Studies with a Loop Heat Pipe (LHP) for Spacecraft Thermal Control: Part II: Experiments under Ambient Conditions” (with M. Parker and B. Drolen), J. Thermophysics and Heat Transfer, 19, 2, 129-136 (2005).
“Ground based Studies with a Loop Heat Pipe (LHP) for Spacecraft Thermal Control: Part I: Vacuum Chamber Tests” (with M. Parker and B. Drolen), J. Thermophysics and Heat Transfer, 18, (4), 417-429 (2004).
Please direct inquiries to waddingt@seas.upenn.edu
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