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The Basis for a Correction for Exponential Dependence of Viscosity on Temperature for Natural Convection by an Integral Method

[+] Author Affiliations
Louis C. Burmeister

University of Kansas, Lawrence, KS

Paper No. IMECE2002-32972, pp. 87-92; 6 pages
doi:10.1115/IMECE2002-32972
From:
  • ASME 2002 International Mechanical Engineering Congress and Exposition
  • Heat Transfer, Volume 1
  • New Orleans, Louisiana, USA, November 17–22, 2002
  • Conference Sponsors: Heat Transfer Division
  • ISBN: 0-7918-3632-0 | eISBN: 0-7918-1691-5, 0-7918-1692-3, 0-7918-1693-1
  • Copyright © 2002 by ASME

abstract

The Nusselt number for laminar natural convection is affected by the exponential dependence on inverse absolute temperature of the viscosity of some liquids, oil being a prime example. A common means of correcting for this effect is to multiply the correlation Nu = C Ra1/4 for constant properties by a factor (μ∞ /μw )n to obtain Nu = C Ra1/4 (μ∞ /μw )n . That there is a sound basis for the form of this corrective term is shown by employing an integral method to obtain approximate, closed-form solutions to the laminar boundary layer equations for the case of a vertical plate of specified temperature to such a liquid.

Copyright © 2002 by ASME

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