Ion slip effect on unsteady Couette flow of a dusty fluid in the presence of uniform suction and injection with heat transfer

The combined effects of Hall current, ion slip, viscous dissipation, and Joule heating on unsteady magnetohydrodynamic Couette flow with heat transfer of a dusty viscous incompressible electrically conducting fluid are studied under a constant pressure gradient. The fluid is subjected to an external uniform magnetic field and a uniform suction and injection perpendicular to the plates (y-direction). Numerical solutions for the constitutive equations are obtained using the method of finite differences. The effects of the magnetic field, Hall parameter, and ion slip parameter on the velocity and temperature distributions for both the fluid and particle phases are investigated in details and shown graphically. It is found that, the Hall current and ion slip parameters have a great effect on the fluid and dust velocities and temperature.