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

P H Nirmala; A Saila  Kumari

doi:10.48165/

Authors

P H Nirmala Research Scholar, Department of Mathematics, JNTU University, Ananthapur-515002, Andhra Pradesh, India.
A Saila Kumari Assistant Professor, Department of Mathematics, JNTU University, Ananthapur-515002, Andhra Pradesh, India.

DOI:

https://doi.org/10.48165/

Keywords:

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

Abstract

This paper describes the theoretical analysis of unsteady non-linear con vection 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.

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P.H. Nirmala and A. Saila Kumari