Abstract

Abstract The problem of non-Newtonian Casson thin film flow of an electrically conducting fluid on a horizontal elastic sheet was studied using suitable dimensionless transformations on equations representing the problem. The thin film flow and heat mechanism coupled with mass transfer characteristics are basically governed by the slip velocity, magnetic field, and the dissipation phenomenon. The present numerical analysis by the shooting method was carried out to study the detailed, fully developed heat and mass transfer techniques in the laminar thin film layer by solving the competent controlling equations with eight dominant parameters for the thin liquid film. Additionally, the predicted drag force via skin-friction coefficient and Nusselt and Sherwood numbers were correlated. In view of the present study, a smaller magnetic parameter or a smaller slip velocity parameter exerts very good influence on the development of the liquid film thickness for the non-Newtonian Casson model. Furthermore, a boost in the parameter of unsteadiness causes an increase in both velocity distribution and concentration distribution in thin film layer while an increase in the same parameter causes a reduction in the film thickness. Likewise, the present results are observed to be in an excellent agreement with those offered previously by other authors. Finally, some of the physical parameters in this study, which can serve as improvement factors for heat mass transfer and thermophysical characteristics, make nanofluids premium candidates for important future engineering applications.

Highlights

  • The mechanism of heat transfer occurring through a thin liquid film past an elastic sheet is given further attention, because it has enormous applications in industry, many technology fields and engineering disciplines

  • Based on the research above and motivated by the possible technological applications regarding the nanofluid issues of non-Newtonian Casson fluids due to the flexible sheet, the purpose of the present work is to present a numerical solution for the physical problem which describes the simultaneous fluid flow mechanism and heat mass transfer properties of a laminar thin film layer of an electrically conducting non-Newtonian Casson nanofluid subject to an unsteady elastic sheet with radiation mechanism, viscous dissipation phenomenon, and slip velocity

  • The theoretical analysis presented in this work accounts for viscous dissipation, thermophoresis, and the slip velocity effects on the thin film flow and heat mass transfer along the film layer for non-Newtonian Casson fluid which exposed to thermal radiation and magnetic field

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Summary

Introduction

The mechanism of heat transfer occurring through a thin liquid film past an elastic sheet is given further attention, because it has enormous applications in industry, many technology fields and engineering disciplines. Wang [1] pioneered a rare exact solution for unsteady fluid film flow problems and heat transfer properties regarding an accelerating elastic sheet. His novel similarity transformations were found to fulfill the full equations of Navier– Stokes together with the equations of the boundary layer. Liu and Andersson [7] examined the fluid flow problem together with the heat transfer process which occur in the thin liquid film layer which is forced by a flexible sheet surface with variable stretching rate and variable surface temperature. Abel et al [8], Noor et al [9], Noor and Hashim [10], Nandeppanavar et al [11], Liu and Megahed [12], and Khader and Megahed [13] have examined the heat transfer mechanism through a liquid thin film due to an unsteady stretching sheet for different physical assumptions such as viscous dissipation, thermocapillarity phenomenon, thermal

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