Abstract
In this paper, the Darcy–Forchheimer laminar thin film flow with MHD and heat transfer on an unsteady horizontal stretched surface is investigated. The impact of thermal radiation and viscous dissipation is also considered for thin film flow. The analysis of heat source with thermal radiation in a boundary layer flow can play a great role in manufacturing engineering procedures such as the production of electric power, solar energy modernization, and astrophysical flow. By using similarity transformation, the system of PDEs is converted to ODEs. Then HAM is applied for the solution of the problem. Moreover, the velocity and temperature profile for various embedded variables are discussed through graphs while the numerical solution of concerned physical quantities such as skin friction and Nusselt number are discussed through tables. The analysis shows that velocity profile is reducing function of M , K 1 , S , and F 1 . The temperature profile is an increasing function S and E c while a reducing function of Pr and R . The overall behavior of the proposed system is highlighted analytically.
Highlights
Heat source, fluid flow within liquid film due to an unsteady stretching sheet, plays a very crucial role in many utilization engineering processes and technologies; for example, polymer extrusion, continuous casting, manufacturing plastic film, tinning of copper wires, crystal growth, a polymer sheet, artificial fiber, and wire and fiber coating
Numerous researchers workout to understand the flow of fluid with different assumptions and in different circumstances. e nanofluid flow over a stretching surface has been originally considered by Wang [5]; they reduce unstable Navier–Stokes equations using similarity transformation in nonlinear ODEs, which are calculated by multiple shooting methods. e solutions based on the analysis of a liquid thin film are obtained by Wang [6], who validated the correctness of the homotopy analysis technique
Kalyani et al [9] investigated the effects of Lorentz force, heat generation, and mass transfer of a Casson incompressible fluid flowing on a surface. ey discussed the impact of thermal radiation on the mass and heat transfer property of flow in a Casson liquid film [10]. e unstable mixed convection flow of the stretch sheet is considered by Devi et al [11]
Summary
Fluid flow within liquid film due to an unsteady stretching sheet, plays a very crucial role in many utilization engineering processes and technologies; for example, polymer extrusion, continuous casting, manufacturing plastic film, tinning of copper wires, crystal growth, a polymer sheet, artificial fiber, and wire and fiber coating. Kishore et al [21] studied the influence of thermal radiation and viscous dissipation on MHD mass, heat transfer flow past an oscillating vertical plate inserted in a porous medium with unknown surface situations. It has been noticed that further investigation is needed to conceptualize the impact of heat transfer, thermal radiation in a fluid film of an unsteady stretching surface inserted in a porous medium in the absence of viscous dissipation and magnetic field impact. Erefore, in the current work, we opt to investigate the impact of heat transfer, thermal radiation in a fluid film of an unsteady stretching surface inserted in a porous medium in the absence of viscous dissipation and magnetic field impact. E results have been illustrated in graphical or tabular forms followed by a brief discussion and physical interpretations
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