The paper first discusses the real fluids circulating in the earth’s crust, and justifies the need to examine the natural convection in a porous medium of a simple pure fluid with properties resembling those near the thermodynamic critical point. The literature on natural convection in a homogenous porous medium between isothermal horizontal plates, the lower one hotter, is then reviewed. Resul...

A computationally efficient, yet relatively simple Eulerian-Lagrangian method is proposed for solving the one-dimensional convection-dispersion solute transport equation assuming a steady or transient velocity field. The method uses a modified single-step reverse particle tracking (MSRPT) technique to handle steep concentration fronts. The scheme utilizes two weighting factors to control the mo...

This study presents the simulation of the specific absorption rate (SAR), fluid flow and heat transfer in an anatomical human eye exposed to EM fields in the supine position. In this study, the frequencies of 900 and 1800 MHz were chosen for our simulations. This work focuses on the aqueous humor natural convection of the lying human eye induced by electromagnetic (EM) fields. In this study, th...

This paper explores the application of the mesh-free radial basis function collocation method for solution of heat transfer and fluid flow problems. The solution procedure is represented for a Poisson reformulated general transport equation in terms of a-symmetric, symmetric and modified (double consideration of the boundary nodes) collocation approaches. In continuation, specifics of a primiti...

The application of the local meshless numerical method (LRBFCM) for solving a system of coupled partial differential equations (PDE) is explored. The numerical approach is tested on the natural convection based fluid flow problems. The fluid flow part of the solution procedure is coupled locally despite its global nature. Such an approach makes the computations convenient for an implementation ...

A combined numerical and experimental study is reported of solid/liquid phase change in porous media with natural convection in the melt region. The model is based on volume averaged transport equations, while phase change is assumed to occur over a small temperature range. Experiments are performed in a vertical, square enclosure using gallium and glass beads as the fluid and the porous matrix...

Conservation of agricultural crops and minimization of grain losses is challenging issue in the present scenario. Effective use of thermal energy for drying of paddy and other cereals for maintaining proper quality is the quality drying process. Natural convection grain dryer is quite suitable for under developed and developing countries like India where rural electrification and advanced dryin...

Numerical simulations are performed to study coupled fluid flow and heat transfer in a thin liquid slag or flux layer. The steady state Navier–Stokes equations are solved using the commercial finite volume code FLUENT. The combined effects of natural convection, bottom shear velocity and strongly temperature dependent viscosity are investigated. It is found that the variation of Nu with Ra for ...