Fluid Flow and Heat Transfer in Porous Media and Post Heated Obstacle: Lattice Boltzmann Simulation

Abstract

The purpose of this paper is to study heat transfer and fluid flow in porous media with and without obstacle. The double-population thermal lattice Boltzmann is applied. The validation of the accuracy of our numerical code is done. We resort to a comparison between the present and the numerical results reported in previous studies on benchmark problems (the generalized Poiseuille flow). Then, the problem of a fluid sheared in a porous media is studied using two approaches of LBM: generalized lattice Boltzmann equation (GLBE) and simplified lattice Boltzmann equation (SLBE). The comparison of these models is achieved at a specific node and cross-section. It includes many dynamic parameters and covers all over the medium. It is so important to conclude that the GLBE is more suitable to study heat transfer in porous media. In the second part, the heat transfer is calculated through a porous media with hot obstacle. The effect of the obstacle dimension and position is presented. The dependence of fluid flow and heat transfer to several parameters is studied. We conclude by showing that the model presented here is particularly well-suited to study heat and mass transfer in porous media with many applications. transfer is calculated through a porous media with hot obstacle. The effect of the obstacle dimension and position is presented. The dependence of fluid flow and heat transfer to several parameters is studied. We conclude by showing that the model presented here is particularly well-suited to study heat and mass transfer in porous media with many applications. Key words: Lattice Boltzmann equation (GLBE and SLBE), porous media, thermal incompressible flow, convection, hot obstacleDetailed instructions for preparing your paper submitted to International Journal of Heat and Technology are given as follows. Please be responsible for the quality and appearance of your work.It's strongly recommended that you directly type over the template or just cut and paste from another document and use markup styles. Please keep in mind all the way through the preparation, do not modify page setup in this template, such as fonts, font sizes, line spacing, margin, uppercase and lowercase, the order of sections, etc. The abstract section is mandatory, with a word limit of 200 words. The scope, aims, results and conclusions may be summarized here. Avoid inserting any reference in this section. In the Keywords section, please capitalize the initial letter of each keyword. Enter the words or phrases in alphabetical order, separated by commas. There is a maximum of 5 keywords. [Abstract style: Times New Roman 9, justified]

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