This study discusses Hall and ion-slip effects in 3D heat transfer in micropolar plasma. The solution of modeled hydrodynamic boundary value problems are computed by Galerkin finite element method (GFEM). Simulations for velocity, angular velocity and temperature are carried out. Momentum and thermal boundary thickness are greatly affected by Hall and ion currents. Magnitude of angular velocity has increasing behavior when micropolar parameter increased. In view of the results obtained from the present investigation, it is recommended to use micro-polar plasma like blood and plasma polymers if Joule heating dissipations are required. Micro-rotation due to the solid structure in micropolar increases when vortex viscosity is increased.

This paper investigates magnetohydrodynamic axisymmetric flow of a third-grade fluid between two porous disks. The governing partial differential equations are transformed into ordinary differential equations by similarity transformations. The resulting non-linear problem is solved by a homotopy analysis method (HAM). The effects of dimensionless parameters on the radial and axial components of the velocity are illustrated through plots. The skin-friction coefficients at the upper and lower disks are tabulated for various values of the dimensionless physical parameters.

Heat transfer in partially ionized Erying-Powell liquid containing four types of nano-particles is discussed in this manuscript. Mathematical models for the mixture Erying-Powell plasma and nano-particles are developed and are solved by using finite element method (FEM). Numerical computations are carried out under tolerance 10^-5. Physical parameters have significant effects on both thermal boundary layer thicknesses and momentum boundary layer thicknesses. Shear stresses at the surface can be minimized by the Hall and ion slip currents whereas the shear stresses at the sheet for Erying-Powell fluid are high as comparing to the Newtonian fluid. The rate of transfer of heat is significantly influenced by Hall and ion slip parameters. Highest rate of transfer of heat is observed for the case of TiO₂ nano-particles. Therefore, it is recommended to disperse TiO₂ nano-particles in Erying-Powell fluid for enhancement of heat transfer in Erying-Powell plasma.