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Laminar natural convection over a slender vertical frustum of a cone with variable surface temperature
Author(s) -
Chiou J. P.,
Na T. Y.
Publication year - 1980
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450580403
Subject(s) - frustum , laminar flow , natural convection , curvature , prandtl number , mechanics , surface (topology) , heat transfer , mathematics , geometry , physics
The problem of laminar, natural convection flow over a slender frustum of a cone with variable surface temperature is treated in this paper. The governing differential equations are solved by a combination of quasilinearization and finite‐difference methods. As an illustration of the formulation, numerical solutions are obtained for a range of Prandtl numbers (0.1 to 100) and the transverse curvature parameter for the case of power‐law surface temperature distribution. The formulation presented in this paper provides a way to analyze the heat transfer over a slender frustum of a cone where both the transverse curvature and the surface temperature variation have to be considered simultaneously.