Analysis of MHD flow of Burgers fluid with heat transfer in helical screw rheometer

This paper aims to study the influence of Hall current and heat transfer on the magnetohydrodynamics (MHD) flow of an electrically conducting, incompressible Burgers fluid in a helical screw rheometer. The screw and barrel are electrically insulated and kept at two different constant temperatures. A uniform magnetic field is applied perpendicular to the flow. Exact solutions are obtained for the velocity profile, volume flow rate, temperature distribution and rate of heat transfer. Expressions for the shear and normal stress components are also calculated. It is observed that the Burgers fluid parameters contribute in normal and tangential stresses, only. The effects of Hall parameter, Hartmann number, pressure distribution, and Brinkman number are investigated on flow profile, temperature distribution, and heat flux.