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.
Highlights
The transfer of heat is the basic feature of the gigantic appliance through applications
To ensure the accuracy of presented numerical results, the results obtained by finite element method for skin friction co-efficient for the steady and unsteady flow have been compared with the numerical results that have been previously reported in existing studies in Table 2, and regarding our results, there is admirable conformity among our outcomes and previously available research articles that approve the cogency and the accuracy of the current results that are obtained by the finite element method (FEM)
An unsteady the flow of magneto-hydrodynamic (MHD) bioconvective micropolar nanofluid containing gyrotactic microorganism has been inspected numerically
Summary
The transfer of heat is the basic feature of the gigantic appliance through applications. Das [22] obtained a very important numerical inquiry on the convective heat transfer recital of nanofluids over a penetrable stretching surface in the existence of thermal buoyancy, partial slip and internal heat production/fascination. Aziz et al [25] using the Buongiorno model [26] deliberated the boundary layer flow through a porous medium crammed with nanofluid and gyrotactic microorganism They give a correspondence solution and illustrated that the influences of the dimensionless parameters on the behavior of motile microbes. Inspired by the above literature, and in the applications of numerous areas that have been discussed, an investigation of the impact of multi-slip and solutal boundary conditions on MHD unsteady bioconvective micropolar nanofluid restraining gyrotactic microorganism, heat and mass transfer effect over a stretching/shrinking sheet (which have not been discussed before) was carried out. In view of this study, transient flow with slip effects with the existence of mixed convection and chemical reaction on the sheet/disk can be observed
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