Analysis of unsteady magnetohydrodynamic radiative thin liquid film flow, heat and mass transfer over a stretching sheet with variable viscosity and thermal conductivity

Abstract

The present article is related to the study of magnetohydrodynamic (MHD) heat and mass transfer in a thin liquid film over a permeable unsteady stretching surface in the presence of chemical reaction, applied magnetic field, viscous dissipation, and thermal radiation with variable viscosity and thermal conductivity. Computed results for unsteadiness parameter, temperature ratio parameter, radiation parameter in the presence/absence of the viscous dissipation and Ohmic heating are analyzed and discussed. The computed results reveal that the viscous and Ohmic dissipations reduce the temperature gradient profiles in the thin liquid film. Further, the thermal radiation decreases the cooling rate of the thin liquid film but the reverse effect is seen by increasing the Prandtl number.

Keywords:

• Magnetohydrodynamics
• stretching sheet
• thin liquid film
• thermal radiation
• viscous and Ohmic dissipations
• thermal conductivity

Disclosure statement

No potential conflict of interest was provided by the authors.

Table 1. Comparison of skin friction coefficient $-f″(0)$ and α values using RKF method in the absence of variable viscosity when parameter Nr = 0, M = 0, Ec = 0.