Academic Courses Offered by the PFM Laboratory
BE 350 - Introduction
to Biotransport Processes
Introduction to basic principles of fluid mechanics and of energy
and mass transport, with emphasis on applications to living systems. Mass,
momentum and energy conservation; mass diffusion; convective diffusion.
324 - Chemical Basis of Bioengineering III
Advanced topics in physical chemistry including solution and colloid
chemistry, electrochemistry, kinetics applied to biological systems.
505 - Quantitative Human Physiology
Introduction to human physiology using the quantitative methods
of engineering and physical science. Emphasis is on the operation of the
major organ systems at both the macroscopic and cellular level.
632 - Biomedical Application of Fluid Mechanics
Momentum, mass, and heat transfer of importance in human physiology.
Low Reynolds number flows in the microcirculation, high Reynolds number
flows in the respiratory system, peristaltic pumping, respiratory and circulatory
mass transfer, motion of microorganisms, and heat transfer in the respiratory
and circulatory systems. Relevance of these flow processes to human disease
and medical diagnosis and treatment.
Academic Courses Recommended by the PFM Laboratory
ENM 502 - Numerical Methods
Numerical linear algebra. Elements of approximation. Finite difference
approximations. Numerical integration, differentiation, and interpolation.
Non-linear equaitons. Numerical solution of ordinary and partial differential
equations. The method of weighted residuals. The finite element method.
Introduction to optimization. Use of numerical packages. Parallelization.
MEAM 527 - Finite Element Analysis
Strong and weak form of the problem and their equivalence. Galerkin's
approximation methods. Matrix equations. Numerical integration techniques.
Formulation of 2-D and 3-D boundary-value problems - heat conduction and
linear elasticity. Isoparametric elements and elementary programming concepts.
Mesh generations. Incompressible elasticity and stokes flow. DELEARN -
a linear static and dynamic finite element analysis program. Introduction
to error estimation.
MEAM 642 - Fluid Mechanics I
Fluid mechanics as a vector field theory; basic conservation laws,
constitutive relations, boundary conditions, Bernoulli theorems, vorticity
theorems, potential flow. Viscous flow; large Reynolds number limit; boundary
MEAM 643 - Fluid Mechanics II
Waves, one-dimensional gas dynamics. Transition, turbulence. Small
Reynolds number limit: Stokes' flow. Compressible potential flow. Method
of characteristics. Rotating flows. Stratified flows. Jets.
MEAM 644 - Fluid Mechanics III
Theory of hydrodynamic discontinuities: contact and gas dynamic.
Shock structure. Higher order boundary layer theory. Stability theory.
Compressible boundary layers or introduction to kinetic theory.
MEAM 645 - Fluid Mechanics IV
Gas kinetic theory: Boltzmann equation. H-theorem, equilibrium solutions;
transport coefficients. Rarified gas dynamics; methods of approximate solution
to Boltzmann equation. Continuum limit: Navier-Stokes equations.
MEAM 646 - Computation Mechanics
The course is divided into two parts. The first introduces general
numerical techniques for elliptical partial differential equations - finite
difference method, finite element method and spectral method. The second
part of the course introduces finite volume method. SIMPLER formulation
for the NAVIER-Stokes equations will be fully described in the class. Students
will be given chances to modify a program specially written for this course
to solve some practial problems in heat transfer and fluid flow.
MEAM 664 - Heat Transfer I: Conduction
Advanced theories of conduction and related transport. The development
of the governing equations and their exact and approximate solutions, including
numerical formulations and their use. Additional applications include moving
plane fronts, energy sources, contact resistance, composite materials,
insulation and thermal stresses.
MEAM 665 - Heat Transfer II: Convection
Development of formulations governing forced, buoyancy induced,
and phase change transport and convective motions with emphasis on the
underlying conservation principles. Following the delineation of the different
kinds of transport, the principal models, and methods applicable for each
kind are discussed.
MEAM 666 - Heat Transfer III: Radiation
Introduction, black body radiation, radiation to and from a surface
element, radiative heat exchange among surfaces separated by a non-participating
medium, radiation and conduction in non-participating media, radiation
and convection in non-participating media, introduction to radiative heat
transfer in participating media.
MEAM 669 - Topics in Two-Phase Flows and Heat Transfer
Nucleate boiling, nucleation theory mechanisms, and models. Film
boiling and transition boiling. Constitutive equations for two-phase flow,
kinematic relationships and empirical correlations, flow patterns, pressure
drop and heat transfer in two phase flow. Condensation, mechanisms, film
condensation, and drop-wise condensation. Two-component two-phase heat