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Volume 31 (2024)
Volume 31, Issue 2 (In progress)
Pg 63 - 92 (December 2024)
Volume 31, Issue 1
Pg 1 - 61 (June 2024)
Volume 30 (2023)
Volume 30, Issue 2
Pg 107 - 185 (December 2023)
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Pg 1 - 105 (June 2023)
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Volume 29,
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Pg 67 - 90 (December 2021)
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Pg 1 - 65 (September 2021)
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Pg 85 - 140 (June 2021)
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Pg 1 - 84 (March 2021)
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Volume 1 (2007)
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Volume 1, Issue 1
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Advances and Applications in Fluid Mechanics
Advances and Applications in Fluid Mechanics
Volume 2, Issue 1, Pages 71 - 92 (July 2007)
THERMODYNAMICAL EFFECTS OF VISCOUS DISSIPATION IN FREE CONVECTION WITH UNIFORM SUCTION AND INJECTION
M. Chandrasekar (India) and S. Baskaran (India)
Abstract:
Gyarmati’s variational principle, a significant development in the field of thermodynamics of irreversible processes, is used to study the thermodynamical effects of viscous dissipation in laminar, free convection flows over a vertical 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-Lagrange equations are reduced to coupled polynomial equations in terms of boundary layer thicknesses. The values of shear stress and Nusselt number are calculated and the effect of viscous dissipation with uniform suction/injection is analyzed. The obtained analytical results are compared with known numerical solutions and it shows high order of accuracy.
Keywords and phrases:
viscous dissipation, free convection, variational principle, suction/injection, dissipative processes.
Communicated by Shahrdad G. Sajjadi
Number of Downloads:
281 |
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P-ISSN: 0973-4686
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