An analysis is carried out to study the steady two-dimensional stagnation-point flow of a nanofluid over a stretching/shrinking sheet in its own plane. The stretching/shrinking velocity and the ambient fluid velocity are assumed to vary linearly with the distance from the stagnation point. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. A similarity solution is presented which depends on the Prandtl number , Lewis number , Brownian motion parameter and thermophoresis parameter . It is found that the local Nusselt number is a decreasing function, while the local Sherwood number is an increasing function of each parameters , , , and . Different from a stretching sheet, the solutions for a shrinking sheet are nonunique.
Boundary Layer Stagnation-Point Flow Toward a Stretching/Shrinking Sheet in a Nanofluid
for Mathematical Research,
Universiti Putra Malaysia,
Contributed by the Heat Transfer Division of ASME for publication in the Journal of Heat Transfer. Manuscript received February 26, 2012; final manuscript received December 13, 2012; published online April 9, 2013. Assoc. Editor: Phillip M. Ligrani.
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Bachok, N., Ishak, A., and Pop, I. (April 9, 2013). "Boundary Layer Stagnation-Point Flow Toward a Stretching/Shrinking Sheet in a Nanofluid." ASME. J. Heat Transfer. May 2013; 135(5): 054501. https://doi.org/10.1115/1.4023303
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