Informatics Publishing Limited

M. Lavanya ¹, M. Sreedhar Babu ¹, G. Venkata Ramanaiah ¹

Affiliations
1 Department of Applied Mathematics, Y. V. University, Kadapa, Andhra Pradesh, IN

Abstract

In present study, we have investigated the phenomenon of Newtonian heating under the application of uniform porous medium when heat generation and chemical reaction appears in the energy and volumetric species equations in the flow of a nànofluid. The flow is induced by an exponentially permeable stretching sheet. The solutions of the nonlinear equations governing the velocɨty, temperature and nànoparticle volume fraction profiles are solved numerically using Runge-Kutta Gill procedure together with shooting method and graphical results for the resulting parameters are displayed and discussed. The influence of the physical parameters on skin-friction coefficient, local Nusselt number and nànoparticle Sherwood number are shown in a tabulated form.

Keywords

Porous Medium, Nanoparticle, Newtonian Heating, Heat Generation and Chemical Reaction.

Full Text

   

M. Sreedhar Babu ¹, K. Gangadhar ², M. Lavanya ¹

Affiliations
1 Department of Applied Mathematics, Y.V. University, Kadapa, A.P., IN
2 Department of Mathematics, Acharya Nagarjuna University, Ongole, AP-523001, IN

Abstract

In this paper, similarity solution of the steady boundary layer flow and heat transfer of a Casson nanofluid flowing over a vertical cylinder which is stretching exponentially along its radial direction in the presence of MHD and Newtonian heating is investigated. The governing partial differential equations are converted into nonlinear, ordinary, and coupled differential equations and are solved using bvp4c Matlab solver. The effects of important parameters such as Magnetic parameter, Reynolds number, Prandtl number, Lewis number. Natural convection parameter and the conjugate parameter for Newtonian heating are described through graphs. The numerical results are compared with the published data and are found to be in good agreement.".

Keywords

MHD, Casson Nanofluid, Heat and Mass Transfer, Newtonian Heating.

Full Text