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ORIGINAL PAPER
A Numerical Study of Coupled Non-Linear Equations of Thermo-Viscous Fluid Flow in Cylindrical Geometry
1
Department of Mathematics VNR Vignana Jyothi Istitute of Engineering and Technology Kukatpally, Hyderabad – 500090, INDIA
2
Department of Mechanical Engineering Cleveland State University Cleveland, Ohio 44115 USA
Online publication date: 2017-12-09
Publication date: 2017-12-20
International Journal of Applied Mechanics and Engineering 2017;22(4):965-979
KEYWORDS
ABSTRACT
In this paper we present numerical solutions to coupled non-linear governing equations of thermo-viscous fluid flow in cylindrical geometry using MATHEMATICA software solver. The numerical results are presented in terms of velocity, temperature and pressure distribution for various values of the material parameters such as the thermo-mechanical stress coefficient, thermal conductivity coefficient, Reiner Rivlin cross viscosity coefficient and the Prandtl number in the form of tables and graphs. Also, the solutions to governing equations for slow steady motion of a fluid have been obtained numerically and compared with the existing analytical results and are found to be in excellent agreement. The results of the present study will hopefully enable a better understanding applications of the flow under consideration.
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