Nonlinear thermal convection on unsteady thin film flow with variable properties

Abstract

This study portray the influence of variable viscosity, thermocapillarity, nonlinear convection, variable thermal conductivity on the laminar flow and heat transfer in a liquid film on a horizontal stretching sheet. Time dependent flow equations are transformed to coupled ordinary equations by the assistance of similarity transformation. Numerical results are obtained via applying Runge-kutta and Newton’s methods. For some representative value of the parameters graphs are exhibited and surface skin friction coefficient and heat transfer are presented in tabular form. It is observed that non-linear convection case shows higher velocity and associated boundary layer thickness compared with linear convection. Elapsed time is more in nonlinear convection for growing values of A, δ, Pr and M compared to linear convection.

A Comparative Study of Thin Film Flow of Fe3 O4 And Al2 O3 Nanoparticles over Stretching Surface Under the Effect of Viscous Dissipation and Magnetohydrodynamics(MHD)

“…Figures (4)(5) demonstrate the relationship between the magnetic parameter M and the velocities and temperatures of nanoparticles (𝐹𝑒 3 𝑂 4 and 𝐴𝑙 2 𝑂 3 ). According to this, a rise in the magnetic parameter M results in a drop in velocity while just a modest change in temperature is observed.…”

“…In thin film flow over an unstable stretch plate, heat transport was studied by Sadiq [3]. Prasad et al [4] demonstrate in this study how changes in viscosity and thermal conductivity affect the laminar flow and heat transmission in a liquid layer on a horizontal stretched sheet. Iqbal [5] investigated the flow of thin films on stretching sheets in 2020.…”