Mixed convection boundary layers in the stagnation-point flow toward a stretching vertical sheet

By Anuar Ishak, Roslinda Nazar, Ioan Pop. 2006

281 citations recorded by the source corpus.

An analysis is made for the steady mixed convection boundary layer flow near the two-dimensional stagnation-point flow of an incompressible viscous fluid over a stretching vertical sheet in its own plane. The stretching velocity and the surface temperature are assumed to vary linearly with the distance from the stagnation-point. Two equal and opposite forces are impulsively applied along the x-axis so that the wall is stretched, keeping the origin fixed in a viscous fluid of constant ambient temperature. The transformed ordinary differential equations are solved numerically for some values of the parameters involved using a very efficient numerical scheme known as the Keller-box method. The features of the flow and heat transfer characteristics are analyzed and discussed in detail. Both cases of assisting and opposing flows are considered. It is observed that, for assisting flow, both the skin friction coefficient and the local Nusselt number increase as the buoyancy parameter increases, while only the local Nusselt number increases but the skin friction coefficient decreases as the Prandtl number increases. For opposing flow, both the skin friction coefficient and the local Nusselt number decrease as the buoyancy parameter increases, but both increase as Pr increases. Comparison with known results is excellent.

Subfields: Biomedical Engineering, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/2b03e3fa93c6113ce6f0d7940e90b885d41e4693

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In Biomedical Engineering

In Mechanical Engineering

Citations in the corpus

Boundary layer flow and heat transfer over an unsteady stretching vertical surface (2009, unknown): “[13–15], Boutros et al.”
Analysis of boundary layer flow over a porous nonlinearly stretching sheet with partial slip at the boundary (2013, background): “Recently, various aspects of such problem have been investigated by many authors [7–20].”
Heat and mass transfer in stagnation-point flow towards a stretching surface in the presence of buoyancy force and thermal radiation (2009, background): “[13] analyzed mixed convection boundary layer flow near the two-dimensional stagnation-point flow of an incompressible fluid over a stretching vertical sheet.”