Effect of Couple Stresses on Hydromagnetic Eyring–powell Fluid Flow through a Porous Channel

In this paper, the flow of hydromagnetic non-Newtonian fluid under couple stresses through a porous channel is investigated using the Eyring– Powell model. The fluid is driven by an axial constant pressure gradient. Approximate solutions of the nonlinear dimensionless equations governing the fluid flow are obtained using a new modification of Adomian decomposition method (ADM). The effects of the variation of various flow parameters on both the velocity and temperature fields are deduced and discussed including surface-fluid interface friction and rate of heat transfer. Nomenclature u dimensionless velocity μ is the fluid velocity V0 is the uniform suction/injection velocity ρ is the fluid density P ′ is the fluid pressure yν is the kinematic viscosity σ is the electrical conductivity of the fluid yB0 is the magnetic field strength of the Lorentz force η is the co-efficient of couple stresses Cp is the specific heat capacity T is the fluid temperature κ is the thermal conductivity of the fluid Re is the suction/injection Reynolds number Pe is the Peclet number Br is the Brinkman number Ha Hartmann number a is the couple stresses inverse 2010 Mathematics Subject Classification: 76W05, 76D05.