Abstract
This study examines the magnetic effects of heat and mass transmission on the flow of micropolar fluid over a permeable stretching geometry with dilute homogeneous dispersion of nano-particles and gyrotactic microorganisms. A system of coupled highly non-linear PDEs is renovated into corresponding ODEs by using similarity functions. These transmuted equations are resolved for a solution with shooting technique accompanied with Runge-Kutta fourth order. The variations of intricate physical quantities such as temperature, micro-motion, concentration, velocity, and motile micro-organism profiles are evaluated under the influence of the emerging parameters. The velocity profile decreases down with upsurge values of magnetic parameter M while micro-rotation is strengthened and its value becomes higher directly with increments in M. The microorganisms profile depict the diminishing behavior with the growing value of bioconvection Lewis number. These results are useful for obtaining better solutions for heat transfer devices and micropolar fuel cells. Additionally, the impact of the parameter of Brownian motion, Rayleigh number, and the parameter of thermophoresis, Peclet number, and buoyancy ratio parameter were discussed numerically and graphically. Moreover, the numerical results were validated by comparing them with previously obtained exact solution for special cases and acceptable compatibility between the two results is achieved. The findings from this work can be utilized for efficient heat exchangers and thermal balance in micro-electronics.