Analytic Solution of a Free and Forced Convection with Suction and Injection Over a Non-Isothermal Wedge
Bulletin of the Malaysian Mathematical Society, Tome 31 (2008) no. 1
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The Governing Principle of Dissipative Processes (GPDP) formulated by Gyarmati into non-equilibrium thermodynamics is employed to study the effects of suction, injection in laminar, two dimensional, combined free and forced convection flow over a non-isothermal wedge. The velocity and temperature functions inside the boundary layers are approximated by simple third order polynomial and the variational principle is formulated. In addition, the Euler-Lagrange equations of the variational principle are obtained as coupled polynomial equations in terms of momentum and thermal boundary layer thicknesses. Moreover, the effect of buoyancy force on heat transfer and skin friction is analysed for different values of Reynolds, Grashof, Prandtl numbers, wedge parameter and wall temperature exponent. Finally, the obtained analytical solutions are compared with known series solutions and the comparison establishes the fact that the accuracy is remarkable.
Classification :
76R05, 76R10, 76N20, 82B35.
@article{BMMS_2008_31_1_a1,
author = {Chandrasekar and M. Shanmugapriya},
title = {Analytic {Solution} of a {Free} and {Forced} {Convection} with {Suction} and {Injection} {Over} a {Non-Isothermal} {Wedge}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2008},
volume = {31},
number = {1},
url = {http://geodesic.mathdoc.fr/item/BMMS_2008_31_1_a1/}
}
TY - JOUR AU - Chandrasekar AU - M. Shanmugapriya TI - Analytic Solution of a Free and Forced Convection with Suction and Injection Over a Non-Isothermal Wedge JO - Bulletin of the Malaysian Mathematical Society PY - 2008 VL - 31 IS - 1 UR - http://geodesic.mathdoc.fr/item/BMMS_2008_31_1_a1/ ID - BMMS_2008_31_1_a1 ER -
%0 Journal Article %A Chandrasekar %A M. Shanmugapriya %T Analytic Solution of a Free and Forced Convection with Suction and Injection Over a Non-Isothermal Wedge %J Bulletin of the Malaysian Mathematical Society %D 2008 %V 31 %N 1 %U http://geodesic.mathdoc.fr/item/BMMS_2008_31_1_a1/ %F BMMS_2008_31_1_a1
Chandrasekar; M. Shanmugapriya. Analytic Solution of a Free and Forced Convection with Suction and Injection Over a Non-Isothermal Wedge. Bulletin of the Malaysian Mathematical Society, Tome 31 (2008) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2008_31_1_a1/