Natural Convection in a Cavity of Large Aspect Ratio

Deshpande, MD and Srinidhi, BG (2003) Natural Convection in a Cavity of Large Aspect Ratio. Technical Report. National Aerospace Laboratories, Bangalore, India.

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Free convection in a cavity formed by a rectangular parallelepiped of spanwise aspect ratio three has been studied by solving the Navier-Stokes and energy equations under the Boussinesq approximation. For a set of boundary conditions with the bottom wall heated and side walls insulated steady solutions have been obtained for RayIeigh number above a critical value. This value (Ra)em is found to be 2559s. Interesting vortex patterns have been interpreted in the light of the flow inside a cube which was studied earlier and two families of distinct solutions were found there. At still higher values of Ra flow becomes oscillatory and then gets damped and for still higher values chaotic and turbulent. Distinct cells are formed dividing the flow in the spanwise direction and these cells oscillate horizontally leading to complex vortical and heat transfer patterns. The knowledge of these soiutions may be important in engineering problems where convective heat transfer is involved

Item Type: Monograph (Technical Report)
Uncontrolled Keywords: Natural convection;Navier-Stokes equations;Non-unique solution;Solution multiplicity;Critical Rayleigh number; Cavity;Vortex
Subjects: AERONAUTICS > Aircraft Design, Testing & Performance
Depositing User: Mrs Manoranjitha M D
Date Deposited: 22 Mar 2006
Last Modified: 24 May 2010 04:10

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