Open Access

ARTICLE

Influence of Thermophoresis and Brownian Motion of Nanoparticles on Radiative Chemically-Reacting MHD Hiemenz Flow over a Nonlinear Stretching Sheet with Heat Generation

S. Mohammed Ibrahim¹, P. Vijaya Kumar², G. Lorenzini^3,*

1 Department of Engineering Mathematics, College of Engineering, Koneru Lakshmaiah Education Foundation, Vaddeswaram, Andhra Pradesh, 522302, India
2 Department of Mathematics, GITAM (Deemed to be University), Visakhapatnam, Andhra Pradesh, 530045, India
3 Department of Industrial Engineering, University of Parma-Parco Area Delle Scienze , Parma, 43124, Italy

* Corresponding Author: G. Lorenzini. Email:

Fluid Dynamics & Materials Processing 2023, 19(4), 855-868. https://doi.org/10.32604/fdmp.2022.019796

Received 15 October 2021; Accepted 22 February 2022; Issue published 02 November 2022

Abstract

In this study, a radiative MHD stagnation point flow over a nonlinear stretching sheet incorporating thermophoresis and Brownian motion is considered. Using a similarity method to reshape the underlying Partial differential equations into a set of ordinary differential equations (ODEs), the implications of heat generation, and chemical reaction on the flow field are described in detail. Moreover a Homotopy analysis method (HAM) is used to interpret the related mechanisms. It is found that an increase in the magnetic and velocity exponent parameters can damp the fluid velocity, while thermophoresis and Brownian motion promote specific thermal effects. The results also demonstrate that as the Brownian motion parameter is increased, the concentration values become smaller.

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Keywords

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