Attribution of Multi-slips and Bioconvection for Micropolar Nanofluids Transpiration Through Porous Medium over an Extending Sheet with PST and PHF Conditions

Abstract

In order to cope with the rising thermal imbalances in important technological activities, efficient heat transfer attracts the attention of this work. An exploration for the multi-slip effects pertaining to micropolar-based nanofluid transportation through a porous medium in the presence of two thermal boundaries prescribed surface temperature and prescribed heat flux. The material and energy transportation takes place over an extending sheet. Arrhenius activation energy and thermal radiation are considered whereas a magnetic field of uniform strength acts normally to the sheet. Bio-convection is peculiar phenomena to avoid the possible settling of nano-entities. Moreover, the impact for three cases of mass transpiration (injection fw> 0 , impermeable wall fw= 0 , suction fw< 0) are taken into account. The fundamental formulation has developed a system of partial differential equations. With the help of similarity transformation, the leading equations are transmuted into ordinary differential equations. The fourth-order Runge–Kutta method with shooting techniques is employed to attain the numerical solutions. The impacts of physical parameters are displayed with the help of tables and graphs for two cases of thermal boundaries. The buoyancy ratio parameters Nr and bio convection Raleigh number decelerate the flow. The parameter of thermophoresis and Brownian motion enhances the temperature. Cattaneo–Christov parameter and Prandtl number reduce the temperature. © 2021, The Author(s), under exclusive licence to Springer Nature India Private Limited.