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 f w > 0, impermeable wall f w = 0, suction f w < 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. KeywordsCattaneo-Christov • Porous medium • Micro-polar fluid • Magnetohydrodynamics • Nano-fluid • Multi-slips • Bio-convection List of Symbols x, y Cartesian coordinates N Microrotation vector B Ali Akgül

Significance of magnetohydrodynamic Williamson Sutterby nanofluid due to a rotating cone with bioconvection and anisotropic slip

“…Abdal et al. [8] reviewed the multi‐slip effects of micropolar‐based nanofluid transportation through a porous medium in the presence of two thermal boundaries prescribed surface temperature (PST) and prescribed heat flux (PHF). Abdal et al.…”

“…Habib et al [7] examined the impact of Stephen blowing on Prandtl nanofluid mobility result by a stretch in the sheet via shooting and the Keller box approach. Abdal et al [8] reviewed the multi-slip effects of micropolar-based nanofluid transportation through a porous medium in the presence of two thermal boundaries prescribed surface temperature (PST) and prescribed heat flux (PHF). Abdal et al [9] used the Runge-Kutta method with the shooting tool to investigate the heat and mass transfer of an unsteady tangent hyperbolic nanofluid flow across an extensible Riga wedge under the effects of stagnation point, heat source, and activation energy.…”

On Thermal Distribution for Darcy–Forchheimer Flow of Maxwell Sutterby Nanofluids over a Radiated Extending Surface

“…Numerical scheme is coded in Matlab software to get the graphical and tabular output. First-order scheme with just some factor implemented as shown below [ 39 , 40 , 41 , 42 ]: along with the boundary conditions: …”

An Analysis for Variable Physical Properties Involved in the Nano-Biofilm Transportation of Sutterby Fluid across Shrinking/Stretching Surface

“…As a response, we apply the well-known shooting strategy to approximate the numerical results where the first boundary value problem is transformed into an initial value problem by applying the preceding presumptions. The solution to the significantly nonlinear transformed boundary values problem ( 12)-( 15) is as follows [37][38][39]: along with the boundary conditions:…”