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EXTENDING THE BEJAN NUMBER TO A GENERAL FORM

ABSTRACT
A modified form of the Bejan number (Be), originally proposed by Bhattacharjee and Grosshandler for momentum processes, is obtained by replacing the dynamic viscosity (m) appearing in the original proposition with the equivalent product of the fluid density (r) and the momentum diffusivity of the fluid (n). This modified form is not only more akin to the physics it represents but it also has the advantage of being dependent on only one viscosity coefficient. Moreover, this simple modification allows for a much simpler extension of Be to other diffusion processes, such as a heat or a species transfer process, by simply replacing the diffusivity coefficient. Consequently, a general Be representation for any process involving pressure-drop and diffusion becomes possible. It is shown that this general representation yields analogous results for any process satisfying the Reynolds analogy (i.e., when Pr = Sc = 1), in which case the momentum, energy and species concentration representations of Be turn out to be the same.
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PAPER SUBMITTED: 2013-02-11
PAPER REVISED: 2013-02-11
PAPER ACCEPTED: 2013-02-15
PUBLISHED ONLINE: 2013-04-13
DOI REFERENCE: https://doi.org/10.2298/TSCI130211032A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2013, VOLUME 17, ISSUE 2, PAGES [631 - 633]
REFERENCES
  1. Bhattacharjee, S., Grosshandler,W. L., The Formation of a Wall Jet Near a High Temperature Wall under Microgravity Environment, Proceedings, ASME 1988 National Heat Transfer Conference, Houston, Tex., USA, 1988, Vol. 1 (A89-53251 23-34), pp. 711-716
  2. Petrescu, S., Comments on the Optimal Spacing of Parallel Plates Cooled by Forced Convection, International Journal of Heat and Mass Transfer, 37 (1994), 8, pp. 1283
  3. Awad, M. M., A New Definition of Bejan Number, Thermal Science, 16 (2012), pp. 1251

© 2018 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence