Laminar natural convection

in a Two-Dimensional vertical Conical Annular Space

 

B. Ould Said1*, N. Retiel2, M. Aichouni3

1 Mechanical Engineering Department (Laboratory of Numerical and Experimental Modeling of Mechanical phenomena, University, Mostaganem, Algeria) B.P.300, Route Belhacel Mostaganem, Algeria

2 Mechanical Engineering Department (Laboratory of Numerical and Experimental Modeling of Mechanical phenomena, University, Mostaganem, Algeria) B.P.300, Route Belhacel Mostaganem, Algeria

3 Professor, Chairman of the Industrial Engineering Department, Engineering College, Hail University, Saudi Arabia

* Corresponding author. E-mail: kazemou@yahoo.fr or retieln@yahoo.fr or m_aichouni@yahoo.co.uk

Received: 23 December 2012; revised version accepted: 30 January 2013

 

Abstract

     In This paper, numerical study, of two-dimensional steady flow analysis has been made on natural convection in a differentially heated vertical conical annular space. The heat transfer is assumed to take place by natural convection. Where the inner and outer surfaces of annulus are maintained at uniform wall temperature. The CFD FLUENT12.0 code is used to solve the governing equations of mass, momentum, energy quantities using constant properties and Boussinesq approximation for density variation. The streamlines and the isotherms of the fluid are presented for different annulus with different boundary conditions and Rayleigh number. In addition, the numerical results of the heat transfer are discussed for various values of physical parameters of the fluid and geometric parameters of the annulus on the heat transfer. A good agreement of Nusselt number has been found between the present predictions and reference from the literature data.

 

Keywords: Natural convection; Heat transfer; Annular Space; Conical; Numerical Simulation.


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