Effects of heat and mass transfer on nonlinear magneto-hydrodynamic boundary layer flow of rheological damper fluid through annular duct

Abstract

An analysis is carried out to study the effects of heat and mass transfer on magneto-the hydrodynamic boundary layer flow through an annular duct in the presence of magnetic field and viscous dissipation of rheological fluid. The fluid is assumed to be electrically conducted and the damper piston moves with a constant velocity; magneto-rheological fluid field dependant characteristics and their thickening effects are defined by a modified Herschel-Bulkley visco-plasticity model. A magnetic field is applied transversely to the direction of flow. A numerical solution for the steady visco-plastic (magneto-dynamic) laminar boundary layer flow through the duct of the damper in the presence of damper fluid (species) concentration and mass diffusion through the annular duct of controllable fluid damper has been obtained by transforming the governing equations to nonlinear ordinary differential equations through similarity transformations. Numerical calculations up to a third level of truncations are carried out for different values of dimensionless parameters of the problem under consideration. An analysis of the results obtained shows that the flow field is influenced appreciably by the strength of the magnetic field and this rheological metamorphism of the controllable fluid, under the influence of magnetic field is exothermic. The experimental investigations are conducted under controlled conditions to validate the analytical work.