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.
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for Mathematical Research,
Universiti Putra Malaysia,
Selangor,
Faculty of Science and Technology,
Universiti Kebangsaan Malaysia,
Selangor,
e-mail: anuar_mi@ukm.my
Babeş-Bolyai University,
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Boundary Layer Stagnation-Point Flow Toward a Stretching/Shrinking Sheet in a Nanofluid
Norfifah Bachok,
for Mathematical Research,
Universiti Putra Malaysia,
Selangor,
Norfifah Bachok
Department of Mathematics and Institute
for Mathematical Research,
Universiti Putra Malaysia,
43400 UPM Serdang
,Selangor,
Malaysia
Search for other works by this author on:
Anuar Ishak,
Faculty of Science and Technology,
Universiti Kebangsaan Malaysia,
Selangor,
e-mail: anuar_mi@ukm.my
Anuar Ishak
1
School of Mathematical Sciences
,Faculty of Science and Technology,
Universiti Kebangsaan Malaysia,
43600 UKM Bangi
,Selangor,
Malaysia
e-mail: anuar_mi@ukm.my
1Corresponding author.
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Ioan Pop
Babeş-Bolyai University,
Ioan Pop
Department of Mathematics
,Babeş-Bolyai University,
400084 Cluj-Napoca
, Romania
Search for other works by this author on:
Norfifah Bachok
Department of Mathematics and Institute
for Mathematical Research,
Universiti Putra Malaysia,
43400 UPM Serdang
,Selangor,
Malaysia
Anuar Ishak
School of Mathematical Sciences
,Faculty of Science and Technology,
Universiti Kebangsaan Malaysia,
43600 UKM Bangi
,Selangor,
Malaysia
e-mail: anuar_mi@ukm.my
Ioan Pop
Department of Mathematics
,Babeş-Bolyai University,
400084 Cluj-Napoca
, Romania
1Corresponding author.
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.
J. Heat Transfer. May 2013, 135(5): 054501 (5 pages)
Published Online: April 9, 2013
Article history
Received:
February 26, 2012
Revision Received:
December 13, 2012
Citation
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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