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Heat Transfer Research
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Heat Transfer Research

DOI: 10.1615/HeatTransRes.2011002035
pages 337-358

Finite Element Analysis of Heat Transfer within a Square Cavity with Uniform and Nonuniform Boundary Heating

Hossein Shokouhmand
University of Tehran
Seyyed Mohammad Ali Noori Rahim Abadi
School of Mechanical Engineering, College of Engineering, University of Tehran, Amir Abad Ave., Tehran, Iran; Department of Mechanical and Aeronautical Engineering, University of Pretoria, Pretoria, Private Box X20, Hatfield 0028, South Africa
Arian Jafari
School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran

ABSTRACT

In this paper, mixed convection heat transfer in a double lid-driven cavity is investigated numerically. In the present study, the stationary vertical walls are heated uniformly and nonuniformly while the bottom and top walls are adiabatic and move horizontally in opposite directions. The numerical model is based on a 2D Navier-Stokes incompressible flow and energy equation solver on the structured grid. The governing equations consisting of the continuity, momentum, and energy equations are solved numerically by the finite element method using the Characteristic Based Split (CBS) algorithm. The effect of uniform and nonuniform heating of vertical walls on flow and thermal fields is investigated within a wide range of the Reynolds, Prandtl, and Grashof numbers.


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