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Abstract
The effects of partial slip on stagnation-point flow and heat transfer due to a stretching vertical sheet is investigated. Using a similarity transformation, the governing partial differential equations are reduced into a system of nonlinear ordinary differential equations. The resulting equations are solved numerically using a shooting method. The effect of slip and buoyancy parameters on the velocity, temperature, skin friction coefficient and the local Nusselt number are graphically presented and discussed. It is found that dual solutions exist in a certain range of slip and buoyancy parameters. The skin friction coefficient decreases while the Nusselt number increases as the slip parameter increases.
Highlights
The investigation of flow and heat transfer of a viscous and incompressible fluid over a stretching/shrinking sheet has received great interest among researchers
The nonlinear ordinary differential Equations (7) and (8) subjected to the boundary conditions in Equations (9) were solved numerically using a shooting method
We study the slip effect on the velocity and temperature profiles, as well as the skin friction coefficient and the local Nusselt number
Summary
The investigation of flow and heat transfer of a viscous and incompressible fluid over a stretching/shrinking sheet has received great interest among researchers. This growing attention is because of its massive applications in engineering and industrial processes include manufacturing processes of polymer, paper production, glass fiber production, etc. The heat transfer and flow field is very important for determining the quality of the final products of such processes. In this case, the quality of the final products depends on heat and mass transfer between the fluid and the stretching/shrinking sheet [1].
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