Effect of variable magnetic field on the flow between two squeezing plates

Abstract

In this paper, a viscous fluid is considered between two horizontal and infinite squeezing plates. The unsteady equations of mass and momentum conservation is coupled with the variable magnetic field and energy equations. The governing system of equations along with entropy generation is solved by the Parametric Continuation Method (PCM). A parametric investigation is plotted through graphs for the velocity field and magnetic field components. Also, the entropy generation due to heat transfer, magnetic field and fluid friction is studied through graphs and tables. It is derived that an increase in magnetic Reynolds number, squeezing number or Hartman number increases the fluid temperature. The magnetic field components are also increasing with increase in magnetic flux. It is also derived that an increase in the rate of momentum diffusion increases the entropy generation and Bejan number due to maximum disorderness of molecules near the plates. Applications of the study include automotive magneto-rheological shock absorbers, novel aircraft landing gear systems, heating-up or cooling processes, biological sensor systems and biological prosthetic etc.