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UNSTEADY NATURAL CONVECTION IN OPEN‐ENDED VERTICAL CONCENTRIC ANNULI

M.A.I. EL‐SHAARAWI (Department of Mechanical Engineering, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia On leave from Mechanical Engineering Department, Alazhar University, Nasr City, Cairo, Egypt.)
M.A. AL‐ATTAS (Department of Mechanical Engineering, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 1 June 1992

87

Abstract

A finite‐difference scheme is developed for solving the boundary layer equations governing the unsteady laminar free convection flow in open ended vertical concentric annuli. The initial condition considered for the creation of the thermal transient corresponds to a step change in temperature at the inner annulus boundary while the outer wall is maintained adiabatic. Numerical results for a fluid of Pr = 0.7 in an annulus of radius ratio 0.5 are presented. The results show the developing velocity and pressure fields with respect to space and time. Also, the important relationship between the annulus height and the induced flow rate is presented for various values of the time parameter starting from quiescence to the final steady state.

Keywords

Citation

EL‐SHAARAWI, M.A.I. and AL‐ATTAS, M.A. (1992), "UNSTEADY NATURAL CONVECTION IN OPEN‐ENDED VERTICAL CONCENTRIC ANNULI", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 2 No. 6, pp. 503-516. https://doi.org/10.1108/eb017508

Publisher

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MCB UP Ltd

Copyright © 1992, MCB UP Limited

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