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Viscous dissipation in external natural convection flows

  • B. Gebhart (a1) and J. Mollendorf (a1)
Abstract

The effects of viscous dissipation are considered for external natural convection flow over a surface. A class of similar boundary-layer solutions is given and numerical results are presented for a wide range of the dissipation and Prandtl numbers. Several general aspects of similarity conditions for flow over surfaces and in convection plumes are discussed and their special characteristics considered. The general equations including the dissipation effect are given for the non-similar power law surface condition.

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References
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Gebhart, B.1962 Effects of viscous dissipation in natural convection J. Fluid Mech. 14, 225.
Nachtsheim, P. R. & Swigert, P.1965 Satisfaction of asymptotic boundary conditions in the numerical solution of boundary layer equations. NASA TM X-52118.
Schmidt, E. & Beckmann, W.1930 Tech. Mech. U. Thermodynamics, 1, 341, 391.
Sparrow, E. M. & Gregg, J. L.1958 Similar solutions for free convection from a non-isothermal vertical plate Trans. ASME, 80, 379.
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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