Prerequisites: ME-604: Conduction and Radiation; ME-522: Convective Heat and Mass Transfer
Introduction; Fluid mechanics – Darcy momentum equation; Porosity; Pore structure; Permeability; High Reynolds number flows; Brinkman superposition of bulk and boundary effects; Local volume-averaging method; Homogenization method; Semiheuristic momentum equations; Significance of macroscopic forces; Porous plain media interfacial boundary conditions; Variation of porosity near bounding impermeable surfaces. Conduction heat transfer Local thermal equilibrium; Local volume averaging for periodic structures; Particle concentrations from dilute to point contact; Areal contact between particles caused by compressive force; Statistical analysis: A variational formulation; A thermodynamic analogy. Convection heat transfer – Dispersion in a tube: Hydrodynamic dispersion; Dispersion in porous media; Local volume averaging for periodic structures; Three dimensional periodic structures; Dispersion in disordered structures: Simplified hydrodynamics, particle hydrodynamics; Properties of dispersion tensor; Experimental determination of D; Dispersion adjacent to bounding surfaces. Radiation heat transfer – Continuum treatment; Radiative properties of single particle; Radiative properties: Dependent and Independent; Volume averaging for independent scattering; Experimental determination of radiative properties; Boundary conditions; Solution methods for equation of radiative transfer; Scaling in radiative heat transfer; Noncontinuum treatment: Monte Carlo simulation; Radiant conductivity; Modeling dependent scattering; Recent developments in the analysis of heat transfer in porous media.
 . M. Kaviany, Principles of Heat Transfer in Porous Media, Springer-Verlag, New York, 1991.
 R. G. Carbonell and S. Whitaker, Heat and Mass Transfer in Porous Media, in Fundamentals of Transport Phenomena in Porous Media, Bear and Corapcioglu, eds., Martinus Nijhoff Publishers. 1984.