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On the Temperature‐Vorticity Analogy in Laminar Boundary Layers
Author(s) -
Murty S. S. R.
Publication year - 1969
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19690490703
Subject(s) - analogy , laminar flow , vorticity , mechanics , dissipation , shear stress , boundary layer , physics , thermodynamics , classical mechanics , shear (geology) , materials science , vortex , composite material , philosophy , linguistics
The classical temperature‐vorticity analogy for the viscous twodimensional flow of a fluid with constant properties is extended to compressible flows with variable properties and viscous dissipation within the boundary layer approximations. The resulting analogy is between total enthalpy and shear stress. For negligible viscous dissipation, the temperature‐shear stress analogy is obtained. Some applications of these analogies are discussed and their limitations are pointed out.