Analyzing Both Fractional Porous Media and Heat Transfer Equations via Some Novel Techniques

Heat Transfer in Porous Media

In this work, the effects of electrical double layer (EDL) near the solid/ liquid interface, on three dimensional heat transfer characteristic and pressure drop of water flow through a rectangular microchannel numerically are investigated. An additional body force originating from the existence of EDL is considered to modify the conventional Navier-stokes and energy equations. These modified eq...

A Numerical Modeling for Natural Convection Heat Transfer in Porous Media With Generated Internal Heat Sources

In this paper a numerical method is used to study the unsteady state natural convection heat transfer within a confined porous media with uniform internal heat generation. The governing equations based on the Darcy model and Bossiness approximations are solved, using the finite difference Alternating Direction Implicit (ADI) method. The developed program was used to simulate natural convection ...

The multiphase fl ow and heat transfer in porous media

On Manifolds and Some Liouville Theorems of Porous Media Equations

(1.1) ut = ∆F (u) on a complete Riemannian manifold (M,g) of dimension n ≥ 1 with Ric(M) ≥ −k for some k ≥ 0. Here F ∈ C2(0,∞), F ′ > 0, and ∆ is the Laplace-Beltrami operator of the metric g. There is a lot of literature on this kind of topics. For example, related problems such as Porous Media Equations have been considered by D.G. Aronson [1], G. Auchmuty and D. Bao [2], M.A. Herrero and M. ...

An Investigation into Forced Convection Heat Transfer through Porous Media

Theoretical and experimental investigations of forced convection heat transfer from a heated flat plate embedded in porous media with a constant heat flux had been carried out in the present work. The experimental investigation included a set of experiments carried out to study the effect of Reynolds number and heat flux on the temperature profile and local Nusselt number. The investigation cov...