Finite Element Simulation of Multi-Slip Effects on Unsteady MHD Bioconvective Micropolar Nanofluid Flow Over a Sheet with Solutal and Thermal Convective Boundary Conditions

Abstract

In this article, the intention is to explore the flow of a magneto-hydrodynamic (MHD) bioconvective micro-polar Nanofluid restraining microorganism. The numerical solution of 2-D laminar bioconvective boundary layer flow of micro-polar nanofluids are presented. The phenomena of multi-slip, convective thermal and Solutal boundary conditions have been integrated. A system of non-linear partial differential equations are transformed into the system of coupled nonlinear ordinary differential equations by applying appropriate transformations, the transformed equations are then solved by applying the variational finite element method (FEM). The fascinating features of assorted velocity parameter, microrotation, temperature, microorganism compactness, solutal and nanoparticles concentration have been inspected. The rate of heat transfer, the skin friction coefficient, couple stress and Sherwood number for microorganisms have also been discussed graphically and numerically. The investigations illustrated that increase in material parameters causes a reduction in microorganism compactness, concentration and temperature. As a result of enhancement in the unsteadiness parameter, the fluid velocity, concentration of microorganisms and the temperature are observed to be declines. Energy and microorganism compactness profile affected by the improvement in the buoyancy ratio parameter. As the improvement in results of buoyancy ratio parameter effects on improvement in the energy and the microorganism compactness profile while the velocity profile is condensed. In the end, rationalized convergence of the finite element solution has been inspected; the computations are found out via depreciating the mesh size.

A Finite Element Simulation of the Active and Passive Controls of the MHD Effect on an Axisymmetric Nanofluid Flow with Thermo-Diffusion over a Radially Stretched Sheet

“…Additionally, it is very proficient and has been applied to study the miscellaneous problems in fluid mechanics, and in computational fluid dynamics, solid mechanics, mass transfer, heat transfer, and many other fields [33]. Reddy [34] demonstrates an admirable universal feature of the variational finite element method, and confinement in various nonlinear problems, such as simulating the transmission phenomenon of unsteady magnetohydrodynamic [26,35,36] and mixed convection micropolar flow in porous media [37]. In order to apply the finite element method (FEM) to the simultaneous nonlinear differential Equations (9)-(12), and to use the boundary conditions in the Equations (13) and (14), we consider:…”

Variable Viscosity Effects on Unsteady MHD an Axisymmetric Nanofluid Flow over a Stretching Surface with Thermo-Diffusion: FEM Approach

“…This approach is better suited and more accurate than other numerical methods such as ADM, HPM, and FDM. It is also very proficient and has been applied in many other fields [34] to research various problems in fluid mechanics and computational fluid dynamics, solid mechanics, mass transfer, and heat transfer [24,35,36]. To apply FEM to the simultaneous nonlinear differential equations (Equations (11)-(14)), and to use the boundary conditions in Equations (15) and (16), we consider:…”

Finite Element Analysis of Variable Viscosity Impact on MHD Flow and Heat Transfer of Nanofluid Using the Cattaneo–Christov Model

“…Tian et al [23] examined the nanofluid rheological behavior of nanoparticles CuO/MWCNTs incorporated with base fluid water/EG (70:30) at the temperature 20-60 • C. Alsarraf et al [24] investigated the impact of the nanoparticle shape on the fluid flow features of boehmite alumina nanofluid in a horizontal double-pipe minichannel heat exchanger. Liaqat et al [25] explored the influence of multiple slips and the solutal boundary condition on magnetohydrodynamic unsteady bioconvective micropolar nanofluid-restrictive gyrotactic microbes, mass, and heat transference impact through the sheet. Ibrahim and Shankar [26] revealed that the heat transfer and the magnetohydrodynamic boundary layer flow of nanofluids via infiltration was able to stretch the sheet in velocity, thermal, and solutal-slip boundary conditions.…”