JP Journal of Heat and Mass Transfer
Volume 1, Issue 2, Pages 165 - 186
(June 2007)
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THERMAL ANALYSIS OF VISCOUS
DISSIPATION EFFECTS IN FREE CONVECTION WITH UNIFORM SUCTION AND INJECTION
M. Chandrasekar (India) and M. Shanmugapriya (India)
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Abstract: Gyarmati’s variational principle, a significant
development in the field of
thermodynamics of irreversible processes, is employed to study the thermodynamical effects of viscous dissipation in laminar
free convection flow over a semi-infinite inclined plate with uniform suction
and injection. The velocity and temperature distributions inside their boundary
layer are considered as simple polynomial functions and
the variational principle is formulated for Prandtl number greater
than unity. The Euler-Langrange equations are reduced to coupled
polynomial equations in terms of boundary layer thicknesses. The local values of
shear stress and Nusselt number are calculated and the effect of viscous dissipation with uniform suction/injection is
analysed. The obtained analytical results are compared with known numerical
solutions and it shows high order of accuracy. |
Keywords and phrases: free convection flow, irreversible thermodynamics, boundary layer thickness, conservation equations. |
Communicated by T. S. Zhao |
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