Fundamental correlations for laminar and turbulent free convection from a uniformly heated vertical plate


Aydin O. , GUESSOUS L.

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, vol.44, no.24, pp.4605-4611, 2001 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 44 Issue: 24
  • Publication Date: 2001
  • Doi Number: 10.1016/s0017-9310(01)00107-7
  • Title of Journal : INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
  • Page Numbers: pp.4605-4611

Abstract

A dimensionless parameter Pi (Q) is introduced for the correlation of the heat transfer in natural convection induced by a constant wall heat flux. This dimensionless parameter depends on the Prandtl number, Fr, and the modified Rayleigh number, Ra*, as Pi (Q) similar to Ra* /(1 + Pr-1). The development of Pi (Q) is based on physical arguments and allows the use of a single heat transfer correlation over the entire Prandtl number range. Dimensional arguments in terms of the laminar boundary layer and turbulent microscale concepts lead to a Nu similar to Pi (1/5)(Q) and Nu similar to Pi (1/4)(Q) dependence for the laminar and turbulent heat transfer, respectively. Comparison of these correlations with existing published data shows a good agreement. (C) 2001 Elsevier Science Ltd. All rights reserved.