Investigation of nanomaterials in flow of non-Newtonian liquid toward a stretchable surface

This article features the buoyancy-driven electro-magnetohydrodynamic micropolar nanomaterial flow subjected to motile microorganisms. The flow is engendered via an elongating surface, and the energy relation includes heat source generation, magnetohydrodynamics, and radiation. A Buongiorno nanomaterial model (which includes thermophoretic and Brownian diffusions) together with chemical reaction and bioconvection aspects is pondered. The nonlinear governing expressions are transfigured into a dimensionless system, and the dimensionless expressions are computed using the numerical differential-solve scheme. Graphical analyses are conducted to examine the liquid flow, microrotation velocity, microorganism concentration, and temperature in relation to secondary variables. It is observed that a higher Hartman number has an opposite influence on temperature and velocity profiles. A rise in material variables engenders a decline in microrotation velocity. The temperature is enhanced through radiation. The concentration shows conflicting trends for both thermophoretic and random factors. The presence of motile microorganisms reduces the bioconvection Lewis and Peclet numbers.