FINITE ELEMENT ANALYSIS OF ROTATING OSCILLATORY MAGNETO-CONVECTIVE RADIATIVE MICROPOLAR THERMO-SOLUTAL FLOW

摘要

Micropolar fluids provide an alternative mechanism for simulating microscale and molecular fluid mechanics, which require less computational effort. A numerical analysis is conducted for the primary and secondary flow characterizing dissipative micropolar convective heat and mass transfer from a rotating vertical plate with oscillatory plate velocity adjacent to a permeable medium. Because of high temperature, thermal radiation effects are also studied. The micropolar fluid is also chemically reacting; both thermal and species (concentration) buoyancy effects and heat source/sink are included. The entire system rotates with uniform angular velocity about an axis normal to the plate. Rosseland's diffusion approximation is used to describe the radiative heat flux in the energy equation. The partial differential equations governing the flow problem are rendered dimensionless with appropriate transformation variables. A Galerkin finite element method employed to solve the emerging multiphysical components of a fluid dynamics problem is examined for a variety of parameters, including rotation parameter, radiation-conduction parameter, micropolar coupling parameter, Eckert number (dissipation), reaction parameter, magnetic body force parameter, and Schmidt number. A comparison to previously published work is made to check the validity and accuracy of the present finite element solutions under some limiting cases, and excellent agreement is attained. The current simulations may be applicable to various chemical engineering systems, oscillating rheometry, and rotating MHD energy generator near-wall flows.