Eur. Phys. J. Appl. Phys. (2016) 74: 24612
https://doi.org/10.1051/epjap/2016150417

Regular Article

Three-dimensional fluid flow simulation into a rectangular channel with partitions using the lattice-Boltzmann method^*

¹ Laboratory of Transfer Phenomena, USTHB University, Algiers, Algeria
² Preparatory School of Science and Technology, Algiers, Algeria
³ LMT – ENS Cachan, CNRS, Paris – Saclay University, 94230 Cachan, France

^a e-mail: aeknad@yahoo.fr

Received: 10 August 2015
Revised: 30 December 2015
Accepted: 5 January 2016
Published online: 3 May 2016

Abstract

In this paper, we investigate numerically the 3D dimensional laminar flow of an incompressible Newtonian fluid into a rectangular channel, including several blocks mounted on the lower and upper walls. To do so, a numerical code based on the lattice Boltzmann method is utilized and it has been validated after comparison between the present results and those of the literature. The adiabatic partitions are arranged in three different manners: in the first one; and by using two blocks, these latter are mounted the one against the other. In the second, the bottom block is disposed next to the flow entry. Whereas, in the third; three parallel (or alternative) blocks are taking place the one close to the other at an equal distance. Regarding the Reynolds number and the partitions’ distance effects on the fluid flow inside the channel, our phenomenon is widely analyzed throughout streamlines and velocity profiles, with special attention to the partitions’ arrangement and the global drop pressure. It is to denote that the three dimensions D3Q19 model is adopted in this work, based on a cubic lattice, where each pattern of the latter is characterized by nineteen discrete speeds.