Cumulative Impact of Micropolar Fluid and Porosity on MHD Channel Flow: A Numerical Study

The mass and heat transfer magnetohydrodynamic (MHD) flows have a substantial use in heat exchangers, electromagnetic casting, X-rays, the cooling of nuclear reactors, mass transportation, magnetic drug treatment, energy systems, fiber coating, etc. The present work numerically explores the mass and heat transportation flow of MHD micropolar fluid with the consideration of a chemical reaction. The flow is taken between the walls of a permeable channel. The quasi-linearization technique is utilized to solve the complex dynamical coupled and nonlinear differential equations. The consequences of the preeminent parameters are portrayed via graphs and tables. A tabular and graphical comparison evidently reveals a correlation of our results with the existing ones. A strong deceleration is found in the concentration due to the effect of a chemical reaction. Furthermore, the impact of the magnetic field force is to devaluate the mass and heat transfer rates not only at the lower but at the upper channel walls, likewise.

Influence of homogeneous/heterogeneous reactions on a radiative second-grade micropolar fluid flow over an exponentially stretching Riga plate with Joule heating

The main aim of current research work is to examine the impacts of homogeneous/heterogeneous reactions on the three-dimensional second-grade micropolar fluid flow caused by an exponentially stretching Riga plate. The thermal and solutal energy transportation characteristics are observed in the existence of Cattaneo–Christov heat flux, non-uniform heat source/sink and joule heating. Moreover, the features of thermal slip and porous medium are also incorporated in the mathematical model. The dimensionless process is adopted for the conversion of the PDEs into the self-similar form of ordinary differential equations (ODEs). The numerical approach Bvp4c is employed to solve ODEs and a comprehensive discussion is presented of arising physical parameters in this research work. The velocity profile rises as boosting the values of the microrotation parameter. Further, microrotation profiles along with x- and y-axes show decaying behaviour for the higher estimations of microrotation parameters. The homogeneous reaction profile has rising behaviour for higher values of Schmidt number and diminishing for higher estimations of strength homogeneous reaction parameter, respectively.

Steady Magnetohydrodynamic Micropolar Fluid Flow and Heat and Mass Transfer in Permeable Channel with Thermal Radiation

The present work is devoted to the study of magnetohydrodynamic micropolar fluid flow in a permeable channel with thermal radiation. The Rosseland approximation for thermal radiation is taken into account in the modelling of heat transfer. The governing equations are expressed in non-dimensional form. The Homotopy Perturbation Method (HPM) is briefly introduced and applied to derive the solution of nonlinear equations. The effects of various involved parameters like Reynolds number, microrotation parameter and Prandtl number on flow and heat transfer are discussed. Further, their effects on Nusselt and Sherwood numbers are also investigated from the physical point of view. Analytic solutions of the problem are obtained by HPM and a numerical technique bvp4c package MATLAB is applied to predict the graphs between different parameters.