Influences of Fourier and Fick's relations in stagnation point flow of Reiner-Philippoff fluid containing oxytactic-microorganisms with variable molecular diffusivity
Tanveer Sajid, Wasim Jamshed, Faisal Shahzad, Mohamed R. Eid, Muhammad Sohail, Imran Ullah
Abstract
The purpose of this investigation is to develop a novel mathematical model for the stagnation point flow of Reiner-Philippoff fluid across an extensible surface, which is accompanied by Cattaneo-Christov double diffusion, thermal radiation, variable molecular diffusivity, and mixed convection. The partial differential expressions governing the flow issues are translated into nonlinear ordinary differential equations via appropriate similarity variables and then numerically treated using the bvp4c MATLAB built-in technique. Tables and graphs are employed to probed the influence of diverse factors on heat and mass transference rates, as well as the density profile of microorganisms. It is revealed that increasing the thermal relaxation time and the concentration relaxation time depreciates the heat transfer and mass transfer processes and that increasing the Peclet quantity and the microbiological concentricity change factor decreases the motile density outline. The current study is original and topical in the sense that the impact of Fourier's heat, as well as mass flux, stagnation point and microorganisms for the case of Reiner-Philippoff fluid, are not interrogated before.