Mathematical modeling of cross diffusion effect on bioconvective Casson nanofluid over multi slips porous stretching surface

Abstract

Purpose and significance Cross diffusion is a phenomenon that arises when various species are diffusing at the same time in a mixture. These are crucial in many industrial, environmental, and material processes for analyzing and forecasting temperature distribution, concentration profiles, and overall system behavior. Thus, cross-diffusion effects on Casson nanofluid across nonlinear stretching sheet are considered. In addition, the influence of magnetohydrodynamics (MHD) with multi slip boundary conditions implanted in porous regime is examined. The novelty of this study is the complex interactions and phenomenon of non-Newtonian Casson nanofluid with bioconvective multi slips conditions, which has an essential contribution in interdisciplinary nature. Methodology By employing similarity transformation, governing equations undergo a transformation into ordinary differential equations (ODEs), and solved using 5th-order Runge–Kutta–Fehlberg method via shooting technique. Graphical representations are utilized to depict effects of various parameters, accompanied by detailed explanations. Outcome The results obtained affirm that nonlinear stretching parameter leads to a deceleration of velocity profile, while temperature profile is observed to enhance with Eckert and Dufour numbers. Additionally, enhancement in the concentration profile occurred due to the Soret number. The comparison of current findings with prior research revealed great accuracy. Meanwhile, a graphical representation of skin friction, Nusselt number, and Sherwood number are presented. This investigation demonstrates that skin friction decreases by 10% with an improvement of M from 0.4 to 1.6. Furthermore, it is identified that there is a 31% rise in Sherwood number when Lewis number is accelerated from 1.0 to 1.5.