# IJPAM: Volume 108, No. 2 (2016)

**NSM SOLUTION ON TRANSIENT NATURAL CONVECTIVE**

VISCOUS FLUID FLOW PAST A VERTICAL CONE

VISCOUS FLUID FLOW PAST A VERTICAL CONE

Y. Immanuel, Bapuji Pullepu, M. Selva Rani

Department of Mathematics

Sathyabama University

Chennai, INDIA

Department of Mathematics

SRM University

Kattankulathur, INDIA

Department of Mathematics

Sathyabama University

Chennai, INDIA

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 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 , Prandtl number and (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**

International Journal of Pure and Applied Mathematics

**How to cite this paper?****Source:****ISSN printed version:**1311-8080

**ISSN on-line version:**1314-3395

**Year:**2016

**Volume:**108

**Issue:**2

**Pages:**363 - 385

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**This work is licensed under the Creative Commons Attribution International License (CC BY).**