Biofluid Mechanics with special interests in liquid, gas, particle, and heat flow in the human respiratory system.

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.

BE 324 - Chemical Basis of Bioengineering III
Advanced topics in physical chemistry including solution and colloid chemistry, electrochemistry, kinetics applied to biological systems.

BE 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.

BE 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 layers.

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 transfer.

Hayden Hall Pulmonary Fluid Mechanics Laboratory
3320 Smith Walk
Hayden Hall #19
Department of Bioengineering
University of Pennsylvania
Philadelphia, PA 19104
Phone 215-898-7214
Fax 215-573-2071