Heat Transfer Analysis of MHD non-Newtonian fluid over a Horizontal Circular Cylinder with Biot number effect Madhavi K.1,2, Nagendra N.1,*, Raju G.S.S.2, Prasad V. Ramachandra1 1Department of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle-517325, A.P., India 2Department of Mathematics, JNTUA College of Engineering Pulivendula, Pulivendula-516390, A.P., India *Corresponding Author E-mail: drnagmaths@gmail.com
Online published on 12 June, 2018. Abstract In the proposed work deals with the heat transfer analysis of Magneto hydrodynamic third grade fluid flow over a horizontal circular cylinder with Biot-number effect. Using the Non-Similarity transformations, the governing partial differential equations are converted into ordinary differential equations and these equations are solved numerically by using an implicit finite difference Keller-Box method. The influence of emerging nondimensional parameters, namely the third grade fluid parameter, the material fluid parameters, Magneto hydrodynamic parameter, Biot number effect and the Prandtl number, on velocities and temperatures are evaluated in the boundary layer regime in detail. Increasing the third grade fluid parameter and material fluid parameters are found to increase the velocity and opposite behavior is observed on temperature profiles. Increasing the Magneto hydrodynamic parameter is found to decreases the velocity and increases the temperature. An increasing the Biot number whereas the velocity and temperature are enhances and increasing the Prandtl number, the velocity and temperature profiles are in depresses. The study is relevant to chemical materials processing applications. Top Keywords Third grade fluid, Horizontal circular cylinder, Material fluid parameters, Magneto hydro dynamic and Biot number. Top |