IJPAM: Volume 108, No. 2 (2016)


Y. Immanuel$^1$, Bapuji Pullepu$^2$, M. Selva Rani$^2$
$^1$Department of Mathematics
Sathyabama University
Chennai, INDIA
$^2$Department of Mathematics
SRM University
Kattankulathur, INDIA

Abstract. The unsteady free convective flow of the non-isothermal vertical cone with wall surface temperature varying as power function of distance from the apex $(x = 0)$ with the effects of viscous dissipation is considered here. The dimensionless parabolic integro-partial differential equations that are non-linear, unsteady and coupled are solved using a new method NSM technique. The velocity, temperature profiles and the local as well as average skin-friction and Nusselt number have been studied and analyzed graphically for the effect of viscous dissipation for various parameters of angle $\phi$, Prandtl number $Pr$ and $n$ (exponent in power law variation in surface temperature). The present results are compared with available results in literature and are found to be in good agreement.

Received: February 13, 2016

Revised: February 13, 2016

Published: October 1, 2016

AMS Subject Classification: 80M20, 76D10, 76M20, 74S30

Key Words and Phrases: natural convection, network simulation method, non-uniform surface temperature, PSPICE, vertical cone, viscous dissipation
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DOI: 10.12732/ijpam.v108i2.12 How to cite this paper?

International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 108
Issue: 2
Pages: 363 - 385

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