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Numerical Investigation of a Three-Dimensional Laminar Mixed Convection Flows in Lid-Driven Cavity for Very Small Richardson Numbers

[+] Author Affiliations
M. M. Abo Elazm, A. I. Shahata

Arab AASTMT-Academy for Science, Technology and Maritime Transport, Alexandria, Egypt

A. F. Elsafty

AUM-American University of The Middle East, Egaila, Kuwait

M. A. Teamah

Alexandria University, Alexandria, Egypt

Paper No. POWER2015-49575, pp. V001T12A007; 10 pages
doi:10.1115/POWER2015-49575
From:
  • ASME 2015 Power Conference collocated with the ASME 2015 9th International Conference on Energy Sustainability, the ASME 2015 13th International Conference on Fuel Cell Science, Engineering and Technology, and the ASME 2015 Nuclear Forum
  • ASME 2015 Power Conference
  • San Diego, California, USA, June 28–July 2, 2015
  • Conference Sponsors: Power Division
  • ISBN: 978-0-7918-5660-4
  • Copyright © 2015 by ASME

abstract

Laminar mixed convection in a three-dimensional lid driven cavity is numerically investigated. The top lid of the cavity is moving rightwards with a constant speed at a cold temperature. The bottom wall is maintained at an isothermal hot temperature, while the other vertical walls of the cavity are assumed to be insulated. In this study the mass diffusion was not taken into account and the fluid used was air. The flow and heat transfer behavior is studied for various Richardson number ranging from 5 × 10−5 to 3 × 10−4 at a fixed Prandtl number of 0.71 through analyzing the local Nusselt number distribution at different sections inside the cavity. Lewis number Le is assumed to be unity and the buoyancy ratio parameter N is equal to zero. Computations were done using an in-house code based on a finite volume method. The results showed a good agreement with previous two dimensional studies, while the three dimensional study gives different results at different sections inside the cavity. It is observed that, the average Nusselt number “Av Nu” on top and bottom surfaces decreases for all sections inside the cavity with increasing Richardson number. A correlation was formulated for each section on both walls for “Av Nu” as a function of “Ri” with a maximum error of 7.3%.

Copyright © 2015 by ASME

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