Mixed convection of Bingham fluid in a two sided lid-driven cavity heated from below

  • BENMALEK Toufik Laboratoire de mécanique des fluides théorique et appliqué, USTHB, B.P.32, El-Alia, Bab-Ezzouar, 16111 Alger, Algérie.
  • Mourad MODERRES Université Djilali BOUNAAMA Khemis Miliana, Rue theniet el-had, Khemis Miliana, 44225, Ain Defla, Algérie
  • Yassad Bilal Laboratoire de mécanique des fluides théorique et appliqué, USTHB, B.P.32, El-Alia, Bab-Ezzouar, 16111 Alger, Algérie.
  • Souidi Ferha Laboratoire de mécanique des fluides théorique et appliqué, USTHB, B.P.32, El-Alia, Bab-Ezzouar, 16111 Alger, Algérie.
  • Abboudi Said Laboratoire M3M UTBM , 90010 Belfort Cedex, France
Keywords: Mixed convection, Heat transfer, Bingham fluid, Lid-driven cavity.

Abstract

This study aims to analyze mixed convection in a square cavity with two moving vertical walls by finite volume method. The cavity filled with Non-Newtonian fluid of Bingham model is heated from below and cooled by the other walls. This study has been conducted for certain parameters of Reynolds number (Re=1- 100), Richardson number (Ri=1-20), Prandtl number (Pr=1-500), and Bingham number has been studied from 0 to 10.

The results indicate that the increase in yield stress drops the heat transfer and the flow become flatter, while increasing Reynolds number augments it. The convective transport is dominant when increasing Richardson number which leads to enhanced heat transfer in the cavity for both Newtonian and Non-Newtonian fluid. A correlation of Nusselt number is given in function of different parameters. 

Published
2019-08-07
Section
Article