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Forced convection in three‐dimensional flows: III. Asymptotic solutions with viscous heating
Author(s) -
Stewart W. E.,
McClelland M. A.
Publication year - 1983
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690290612
Subject(s) - laminar flow , mechanics , heat transfer , thermodynamics , thermal diffusivity , newtonian fluid , boundary layer , non newtonian fluid , convective heat transfer , materials science , thermal , convection , forced convection , flow (mathematics) , physics
Matched asymptotic solutions are given for the temperature profiles and heat transfer rates in laminar three‐dimensional flows with viscous dissipation. The results are asymptotically valid for small thermal diffusivity α; they hold for Newtonian or non‐Newtonian fluids. The fluid properties are evaluated at an average temperature for the system; this is satisfactory for moderate temperature differences. Heat transfer formulas for various thermal boundary conditions are included. Several examples are analyzed, including the frictional heating of a polymer melt in flow through a wire‐coating die.