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In recent years, many numerical and analytical attempts have been reported by the researchers to explore the technological and industrial processes. Thermal management, hybrid-powered engine, microelectronics, heat exchanger, solar systems, energy generators are some recent applications of the heat and mass transfer flow. In this article, we have theoretically analyzed the convection flow of Walters-B fluid past a vertical extending surface. The Walters-B nanofluid contains the gyrotactic microorganisms and nanoparticles. The slip and convective conditions are imposed on the velocity and temperature equations. The modeled equations are reformed into the system of ordinary differential equations. Further, the transformed ordinary differential equations are solved analytically. The analytical results are compared with numerical solution and have found great resemblance to each other. The convergence analysis of analytical solution is also presented in this study. The impacts of the embedded factors on Walters-B nanofluid have been presented and deliberated in detail. The results show that the improvement in viscoelastic and magnetic parameter declined the nanofluid motion for both slip and no-slip conditions. The escalated mixed convection parameter has augmented the nanofluid motion. Additionally, at the surface of sheet, the slip condition reduces the fluid motion, however, away from the stretching surface, an increasing conduct up-to some points and then free stream velocity is found. The increased bioconvection Lewis number has increased the microorganisms’ profile while the greater bioconvection Peclet number has increased the microorganisms’ profiles reduced. The streamline patterns for Newtonian, non-Newtonian, magnetized, and non-magnetized cases have different behaviors. The flow factors have dominant impact on velocity profiles for the case of slip condition.

open physics

HAM simulation for bioconvective magnetohydrodynamic flow of Walters-B fluid containing nanoparticles and microorganisms past a stretching sheet with velocity slip and convective conditions