NUMERICAL SIMULATION OF LAMINAR CONVECTION FLOW AND HEAT TRANSFER AT THE LOWER STAGNATION POINT OF A SOLID SPHERE.

Authors:

Asish Mitra,

DOI NO:

https://doi.org/10.26782/jmcms.2015.10.00004

Keywords:

Free Convection,Fluid Flow,Heat Transfer,Matlab,Numerical Simulation,Solid Sphere,Stagnant Point,

Abstract

A numerical algorithm is presented for studyinglaminar convection flow andheat transferat the lower stagnation point of a solid sphere.By means of similaritytransformation, the original nonlinear partial differential equations of flow aretransformed to a pair of nonlinear ordinary differential equations. Subsequently theyare reduced to a first order system and integrated using Newton Raphson andadaptiveRunge-Kutta methods.The computer codes are developedfor this numerical analysis inMatlab environment. Velocity and temperature profiles for various values of Prandtlnumber and at a fixed conjugate parameter are illustrated graphically. The results ofthe present simulation are then compared with previousresults available in literaturewith good agreement.

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Author(s): Asish Mitra View Download