Numerical Study for the Flow and Heat Transfer in a Thin Liquid Film Over an Unsteady Stretching Sheet with Variable Fluid Properties in the Presence of Thermal Radiation

Abstract

In this paper, the effect of thermal radiation, variable viscosity and variable thermal conductivity on the flow and heat transfer of a thin liquid film over an unsteady stretching sheet is analyzed. The continuity, momentum and energy equations, which are coupled nonlinear partial differential equations, are reduced to a set of two non-linear ordinary differential equations, before being solved numerically. Results for the skin-friction coefficient, local Nusselt number, velocity profiles as well as temperature profiles are presented for different values of the governing parameters. It is found that increasing the viscosity parameter leads to a rise in the velocity near the surface of the sheet and a fall in the temperature. Furthermore, it is shown that the temperature increases due to an increase in the values of the thermal conductivity parameter and the thermal radiation parameter, while it decreases with an increase of the Prandtl number.

Numerical Analysis of the Mixed Flow of a Non-Newtonian Fluid over a Stretching Sheet with Thermal Radiation

“…The results of the fully developed velocity and temperature profiles for governing parameter runs in the laminar flow region are plotted in Figs. [3][4][5][6][7][8][9][10][11]. Fig.…”

Hydromagnetic Nanofluid Film Flow over a Stretching Sheet with Prescribed Heat Flux and Viscous Dissipation

“…The effect of thermal radiation, variable heat flux, and the phenomenon of viscous dissipation on the liquid thin film flow of MHD nanofluid due to an unsteady stretching sheet is investigated in this study. As previously stated by Liu et al [30], we assume that the thermal conductivity of nanofluids varies linearly with temperature. In this work, we assume an unsteady flow of an incompressible Newtonian fluid within a thin liquid film having a uniform thickness h(t) on a resilient sheet that emerges from a very narrow slit at the origin, as shown below in Fig.…”

“…Recently, Noor et al [27] have extended the problem of Noor et al [28] by studying the thermocapillarity and magnetic field effects on the flow and heat transfer in a thin liquid film due to an unsteady stretching sheet. Further contributions have been made since that time by many researchers [29][30][31]. They have discussed the various physical and thermal phenomena to obtain the accurate solutions valid for different physical assumptions.…”

Interpretation of infinite shear rate viscosity and a nonuniform heat sink/source on a 3D radiative cross nanofluid with buoyancy assisting/opposing flow

“…reported about the viscous dissipation impact on the Cross model with heat transfer analysis. Recently, many researchers have made investigations into heat transport 12‐27 …”