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Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
eISSN: 2320-3226
pISSN: 0970-6577
Impact Factor: 4.895 (2017)
DOI: 10.5958/2320-3226
Editor-in-Chief:  Prof. Dr. Lalit Mohan Upadhyaya
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Article Details

Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
Year : 2019, Volume & Issue : BPAS-Maths & Stat 38E(2), JUL-DEC 2019
Page No. : 570-585, Article Type : Original Aticle
Article DOI : 10.5958/2320-3226.2019.00058.4 (Communicated, edited and typeset in Latex by Lalit Mohan Upadhyaya (Editor-in-Chief). Received December 11, 2018 / Revised May 21, 2019 / Accepted June 27, 2019. Online First Published on December 24, 2019 )

Unsteady and steady non-linear state flow of Burgers’ fluid in the presence of magnetic field with heat generation/absorption

P.H. Nirmala1 and A. Saila Kumari2
Author’s Affiliation : 1. Research Scholar, Department of Mathematics, JNTU University, Ananthapur-515002, Andhra Pradesh, India. 2. Assistant Professor, Department of Mathematics, JNTU University, Ananthapur-515002, Andhra Pradesh, India. 1. E-mail: [email protected] , 2. E-mail: [email protected]

Corresponding Author : P.H. Nirmala,
E-Mail:-[email protected]


Abstract

This paper describes the theoretical analysis of unsteady non-linear convection of magnetic field effect on Burgers’ fluid flow in the presence of Buongiorno nano model. The flow is created by stretching the surface. Diffusion of thermal, concentration levels and heat absorption/generation are examined. Suitable similarity transformations are used to convert the nonlinear partial differential system into the nonlinear ordinary differential system. The solutions of nonlinear systems are obtained from the convergent approach. The profiles temperature, concentration and velocity are elaborated by various physical flow parameters and these are investigated through the graphs. Local Nusselt and Sherwood numbers numerical values are interpreted and discussed for various values of physical parameters in the form of the table. In the following research we determine the velocity, temperature, and concentration are extremely clear with the flow in non-linear unsteady convection than in the non-linear steady convection and also observe that the cooling process of non-linear unsteady convection is exceedingly beneficial.

2010 Mathematics Subject Classification:  76W05, 76W99.

Keywords

Magnetohydrodynamic, stretched sheet, Brownian motion, Buongiorno nanomodel, Nusselt number, Sherwood number, steady convection, unsteady convection.
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