Investigating the effects of the important parameters on magnetohydrodynamics flow and heat transfer over a stretching sheet

Abstract

Sheet extrusion is a technique for making flat plastic sheets. Thermoplastic sheet production is a significant sector of plastics processing. In order to improve the physical properties of the sheet, it is consequential to study heat and fluid flow over the sheet as it solidifies. To understand the process, in the present work, the two-dimensional steady-state incompressible viscoelastic boundary layer magnetohydrodynamics flow and heat transfer over a stretching sheet have been studied in the presence of electric and magnetic fields. The highly non-linear momentum and heat transfer equations are solved analytically using the homotopy analysis method. The effect of various physical parameters including the viscoelastic parameter, the Prandtl number, the local Reynolds number, the Eckert number, the Hartmann number, and the local electric parameter on momentum and heat transfer characteristics have been studied. Ultimately some results could be found from this analytical treatment, such as the following: by increasing the values of the local Reynolds number and the electric parameter, the value of the skin friction coefficient is decreased. If the fluid is viscoelastic, the electric field is present, and the Prandtl number is lower, then there would be an obvious decrease of temperature near the boundary sheet. The other result is in the presence of the magnetic field, the effect of the electric field is to decrease the temperature near the stretching boundary.