Mathematical analysis of heat and mass transfer in a Maxwell fluid

Author:

Khan Muhammad Naveed1,Nadeem Sohail1,Ahmad Shafiq1,Saleem Anber23

Affiliation:

1. Department of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan

2. Mathematics and its Applications in Life Sciences Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam

3. Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

Abstract

The objective of current research is to analyze the MHD flow of a Maxwell fluid towards a stretching sheet with thermophoretic and stratification effects. The analysis of heat and mass transfer is presented in the presence of variable thermal conductivity and the Cattaneo-Christov theory. The Cattaneo-Christov theory is used instead of Fourier and Fick laws because Fourier and Fick's laws give parabolic equations, which propagate in the space with infinite speed. The under-consideration flow model is converted into a set of ordinary differential equations by using suitable transformation. The set of ODEs is numerically solved by adopting the bvp4c Matlab technique. Influences of emerging parameters on velocity profile, temperature, and concentration are discussed with graphs. It is observed that larger values of Deborah number induce a resistance, that declining the velocity of a fluid. Further, it is noticed that thermal stratification parameter and concentration stratification parameter reduce the temperature and concentration distribution.

Publisher

SAGE Publications

Subject

Mechanical Engineering

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