Analysis of an aligned magnetic nano-Casson fluid flow along with bio-convection based on Stefan's blowing

Abstract

Abstract This theoretical study illustrates the effect of an inclined stretching sheet with bio-mixed convection, aligned magnetohydrodynamics (MHD), porous medium, Joule heating, viscous dissipation, the Buongiorno nanofluid model, and chemical reaction effects. Stefan blowing (SB) and partial slips, as well as our presumptions and laws, like the conservation of mass, momentum, and energy, must all be taken into consideration when solving our partial differential equations (PDEs). Similarity transformations are used in the context of a gyro-tactic motile microorganism flowing through an inclined stretched surface to produce ordinary differential equations (ODEs). The BVP4C method generates numerical results for different parameters through MATLAB programming. Additionally, a numerical and graphical exploration of the effects of numerous developing variables on the velocity, temperature, concentration, and density of motile bacteria is done. To verify the accuracy of the numerical model, the findings of the numerical research are compared to experimental data. Microbial distribution decreases with both negative and positive SB (suction and injection) attitudes, as indicated by the Peclet number and microbe movement coefficient. The mobility of microorganisms increases with higher values of the Lewis number, which governs their motility. The Lewis number and chemical reaction parameters affect the volume fraction transfer during the flow of the nano-Casson fluid in both the suction and injection cases of the SB effect, leading to increased concentration transfer.