Abstract
Marangoni mixed convective flow of Casson fluid in a thermally stratified medium is addressed. Flow analysis has been carried out in presence of inclined magnetic field. Heat transfer analysis is discussed in the presence of viscous dissipation, Joule heating and nonlinear thermal radiation. The governing nonlinear partial differential equations are first converted into ordinary differential systems and then developed the convergent series solutions. Flow pattern with the influence of pertinent parameters namely the magnetic parameter, Casson fluid parameter, temperature ratio parameter, stratification parameter, Prandtl number, Eckert number and radiation parameter is investigated. Expression of local Nusselt number is computed and analyzed. It is found that the Nusselt number decreases by increasing magnetic parameter, temperature ratio parameter, angle of inclination and stratification parameter. Moreover the effect of buoyancy parameter on the velocity distribution is opposite in both the opposing and assisting flow phenomena. Thermal field and associated layer thickness are enhanced for larger radiation parameter.
Highlights
The Marangoni mixed convection flow has received much attention of the researchers
Heat transfer analysis is discussed in the presence of viscous dissipation, Joule heating and nonlinear thermal radiation
The dual solutions in thermosolutal Marangoni boundary layer flow towards a flat plate with suction/injection effect can be given in Hamid et al.[3]
Summary
The Marangoni mixed convection flow has received much attention of the researchers. Lin et al.[6] analyzed magnetohydrodynamic (MHD) thermocapillary Marangoni convection heat transfer in flow of an electrically conducting power-law fluid driven by temperature gradient. Marangoni convection radiative flow and heat transfer in pseudoplastic nanofluids by a temperature gradient has been reported by Lin et al.[13] Lin et al.[14] examined MHD thin film flow and heat transfer of power law fluid by an unsteady stretching surface. The slip effects in the magnetohydrodynamic boundary layer flow over a stretching surface in the presence of suction/blowing and thermal radiation is numerically investigated by Mukhopadhyay.[16] Mukhopadhyay et al.[17] discussed the radiative effect in boundary layer forced convective flow and heat transfer of an incompressible fluid past a plate embedded in a Darcy-Forchheimer porous medium. The relevant flow problems are formulated and solved by homotopy analysis method (HAM).[24,25,26,27,28,29,30,31,32,33,34,35,36] The effects of various parameters on the velocity and temperature fields are discussed
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