Mathematical analysis of heat and mass transfer in a Maxwell fluid

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.

Automated summary

The current research focuses on analyzing the MHD flow of a Maxwell fluid on a stretching sheet with thermophoretic and stratification effects. The study utilizes the Cattaneo-Christov theory instead of Fourier and Fick laws to address heat and mass transfer, highlighting the impacts of various parameters on velocity profile, temperature, and concentration distribution. Results show that higher Deborah numbers lead to increased resistance and reduced fluid velocity, while thermal and concentration stratification parameters play a role in decreasing temperature and concentration distributions.