2016/03/10 by Prashant G. Metri, Metri, Prashant G, Jagdish Tawade +3
Engineering · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Heat Transfer Mechanisms #Heat Transfer and Optimization #Nanofluid Flow and Heat Transfer
paper · pdf · doi:10.48550/arxiv.1603.03664
openalex publication_date 2016/03/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we present a mathematical analysis of thin film flow and heat transfer to a laminar liquid film from a horizontal stretching sheet. The flow of thin liquid film and subsequent heat transfer from the stretching surface is investigated with the aid of similarity transformations. Similarity transformations are used to convert unsteady boundary layer equations to a system of non-linear ordinary differential equations. The resulting non-linear differential equations are solved numerically using Runge-kutta-Fehlberg and Newton-Raphson schemes. A relationship between film thickness β and the unsteadiness parameter S is found, the effect of unsteadiness parameter S, and the Prandtl number Pr, Magnetic field parameter Mn, Radiation parameter Nr and viscous dissipation parameter Ec and heat source parameter γ on the temperature distributions are presented and discussed in detail. Present analysis shows that the combined effect of magnetic field, thermal radiation, heat source and viscous dissipation. The results which form special case of the present study are in excellent agreement with the results reported in the literature.