Effects of viscous dissipation in natural convection

The effect of viscous dissipation in natural convection is appreciable when the induced kinetic energy becomes appreciable compared to the amount of heat transferred. This occurs when either the equivalent body force is large or when the convection region is extensive. Viscous dissipation is conside...

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Bibliographic Details
Published inJournal of fluid mechanics Vol. 14; no. 2; pp. 225 - 232
Main Author Gebhart, B.
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.10.1962
Online AccessGet full text
ISSN0022-1120
1469-7645
DOI10.1017/S0022112062001196

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Summary:The effect of viscous dissipation in natural convection is appreciable when the induced kinetic energy becomes appreciable compared to the amount of heat transferred. This occurs when either the equivalent body force is large or when the convection region is extensive. Viscous dissipation is considered here for vertical surfaces subject to both isothermal and uniform-flux surface conditions. A perturbation method is used and the first temperature perturbation function is calculated for Prandtl numbers from 10−2 to 104. The magnitude of the effect depends upon a dissipation number, which is not expressible in terms of the Grashof or the Prandtl number.
Bibliography:ark:/67375/6GQ-WSPS8GSF-D
PII:S0022112062001196
istex:332CEE6C2F1203B16C77FD8524AE2EC62A35D982
ISSN:0022-1120
1469-7645
DOI:10.1017/S0022112062001196