Numerical solution of micropolar fluid flow with heat transfer by finite difference method

In this paper, we focused on time-dependent flow of micropolar fluid between parallel permeable plates. Fluid is electrically conducting. Magnetic field is applied in the transverse direction to flow. Energy equation is modeled in the presence of viscous dissipation, thermal radiation and Joule heating. Suction is considered at lower plate while injection is considered at upper plate. Appropriate dimensionless variables are employed to reduce the governing PDE's system into dimensionless one. Nondimensional PDE system is tackled numerically by finite difference technique. Effects of flow parameters on velocity, micro-rotation, temperature, couple and shear stresses at plates and Nusselt number are discussed. The obtained outputs show that for nonzero electric field parameter the velocity increases with Hartmann number. For zero electric field parameter the velocity decreases with Hartmann number. Temperature increases with both electric and magnetic field parameters. Micro-rotation decreases with micro-rotation material parameter and it increases with time.

Automated summary

This study investigates the effects of various parameters on the time-dependent flow of micropolar fluid between parallel permeable plates. The results show that the velocity increases with the Hartmann number when the electric field parameter is nonzero. On the other hand, the velocity decreases with the Hartmann number when the electric field parameter is zero. The temperature increases with both electric and magnetic field parameters. The micro-rotation decreases with the micro-rotation material parameter and increases with time.