Oscillatory dissipative conjugate heat and mass transfer in chemically reacting micropolar flow with wall couple stress: A finite element numerical study

Abstract

High temperature non-Newtonian materials processing provides a stimulating area for process engineering simulation. Motivated by emerging applications in this area, the present article investigates the time-dependent free convective flow of a chemically-reacting micropolar fluid from a vertical plate oscillating in its own plane adjacent to a porous medium. Thermal radiative, viscous dissipation and wall couple stress effects are included. The Rosseland diffusion approximation is used to model uni-directional radiative heat flux in the energy equation. Darcy's model is adopted to mimic porous medium drag force effects. The governing twodimensional conservation equations are normalized with appropriate variables and transformed into a dimensionless, coupled, nonlinear system of partial differential equations under the assumption of low Reynolds number. The governing boundary value problem is then solved under physically viable boundary conditions numerically with a finite element method based on the weighted residual approach. Graphical illustrations for velocity, micro-rotation (angular velocity), temperature and concentration are obtained as functions of the emerging physical parameters i.e. thermal radiation, viscous dissipation, first order chemical reaction parameter etc. Furthermore, friction factor (skin friction), surface heat transfer and mass transfer rates have been tabulated quantitatively for selected thermo-physical parameters. A comparison with previously published paper is made to check the validity and accuracy of the present finite element solutions under some limiting cases and excellent agreement is attained. Additionally, a mesh independence study is conducted. The model is relevant to reactive polymeric materials processing simulation.

Dissipative-Radiative Micropolar Fluid Transport in a Non-Darcy Porous Medium with Cross-Diffusion Effects

“…This is because of the fact that the diffusive species with higher values of Soret parameter   Sr has the tendency of increasing concentration profiles. gives the result for viscous incompressible fluid these trends can be seen in Shamshuddin et al, [58]. From this, it is observed that the velocity of the Newtonian fluid is greater than that of the micropolar fluid.…”

Computation of Transient Radiative Reactive Thermosolutal Magnetohydrodynamic Convection in Inclined MHD Hall Generator Flow With Dissipation and Cross Diffusion

“…Bég et al [49] investigated analytically the radiative flux influence on unsteady gravity-driven optically-thick gray convection flow along an inclined plate with pressure gradient. Further studies include Mahmoud [50] (micropolar magnetic flow with thermal conductivity variation), Bég et al [51] (swirling Von Karman optically-thick MHD transpiring slip flow), El-Hakiem [52] (oscillatory hydromagnetic permeable convection), Shamshuddin et al [53] (reactive periodic dissipative micropolar thermo-solutal convection), Bég et al [54] (transient two-dimensional convective-radiative hydromagnetics), Hady et al [55] (radiative nanofluid dynamics) and Bhatti et al [56] (peristaltic pumping of electromagnetic two-phase flows).…”

Biomathematical model for gyrotactic free-forced bioconvection with oxygen diffusion in near-wall transport within a porous medium fuel cell

“…The main findings of the study are summarized as follows: The present study has been confined to Newtonian fluids. Future investigations will consider microstructural working fluids using the Eringen micropolar model [49] which are also of relevance to PEM fuel cell systems and efforts in this regard are currently underway.…”