Effect of non-uniform heat source on MHD heat transfer in a liquid film over an unsteady stretching sheet

Thermal radiation effects on the flow and heat transfer in a liquid film on an unsteady stretching sheet

“…The reason of this trend can be explained by the fact that higher values of the radiation parameter R leads to a decrease in the Rosseland mean absorption coefficient k * for a given and T ∞ . Thus, we can deduce from Equations (6) and (13) that the divergence of the radiative heat flux *q r /*y rises as k * decreases consequently the fluid temperature increases. Figures 5 and 6 illustrate the effects of M on the free surface velocity f ( ), the surface shear stress f (0) and the film thickness .…”

“…Sajid et al [12] investigated the effects of slip on thin flow of a fourth-grade fluid down a vertical cylinder. Abel et al [13] investigated the magnetohydrodynamic flow and heat transfer characteristics of a laminar liquid film over a flat impermeable stretching sheet in the presence of a non-uniform heat source/sink. Abel et al [14] studied the combined effects of viscous dissipation and magnetic field on the heat transfer in a liquid film over an unsteady stretching surface.…”

Flow and Heat Transfer in a Nanofluid Thin Film Over an Unsteady Stretching Sheet

“…This study was later extended to the case of more general form of the prescribed temperature variation by Liu and Andersson (2008). Abel et al (2009) investigated the combined effects of non-uniform heat source/sink and magnetic field on thin film flow and heat transfer over an unsteady stretching sheet. They found that increasing the non-uniform heat source/sink and magnetic field parameters has the effect of increasing the local Nusselt number.…”

Carreau Model for Liquid Thin Film Flow of Dissipative Magnetic-Nanofluids over a Stretching Sheet

“…Bidyat and Dandapat [11] discussed the unsteady thin film flow over a heated stretching sheet. Recently, several researchers Abel et al [12], Noor et al [13], Nandeppanavar et al [14], worked on the problem of thin film flow over a stretching sheet with various effects such as non-uniform heat source and thermal radiation. Very recently, Xang et al [15] analysed the flow and heat transfer in a nano liquid film flow past an unsteady stretching sheet.…”