The combined effects of viscous and Joule heating on the stagnation point flow of a nanofluid through a stretching/shrinking sheet in the presence of homogeneous–heterogeneous reactions are investigated. The nanoparticle volume fraction model is used to describe the nanofluid. In this study, the density temperature relation is nonlinear which causes a nonlinear convective heat transfer. The surface of the sheet is assumed to be convectively heated with a hot fluid. The governing nonlinear differential equations are solved using the successive linearization method (SLM), and the results are validated by comparison with numerical approximations obtained using the Matlab in-built boundary value problem solver bvp4c and with existing results in literature. The nanofluid problem finds applications in heat transfer devices where the density and temperature relations are complex and the viscosity of the fluid has significant effect on the heat transfer rate.
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and Computer Science,
University of KwaZulu-Natal,
Pietermaritzburg,
e-mail: rajnandkeolyar@gmail.com
and Computer Science,
University of KwaZulu-Natal,
Pietermaritzburg,
e-mail: sandilemotsa@gmail.com
and Computer Science,
University of KwaZulu-Natal,
Pietermaritzburg,
e-mail: sibandap@ukzn.ac.za
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November 2013
Research-Article
Viscous and Joule Heating in the Stagnation Point Nanofluid Flow Through a Stretching Sheet With Homogenous–Heterogeneous Reactions and Nonlinear Convection
R. Nandkeolyar,
and Computer Science,
University of KwaZulu-Natal,
Pietermaritzburg,
e-mail: rajnandkeolyar@gmail.com
R. Nandkeolyar
1
School of Mathematics, Statistics
,and Computer Science,
University of KwaZulu-Natal,
Private Bag X01, Scottsville 3209
,Pietermaritzburg,
South Africa
e-mail: rajnandkeolyar@gmail.com
1Corresponding author.
Search for other works by this author on:
S. S. Motsa,
and Computer Science,
University of KwaZulu-Natal,
Pietermaritzburg,
e-mail: sandilemotsa@gmail.com
S. S. Motsa
School of Mathematics, Statistics
,and Computer Science,
University of KwaZulu-Natal,
Private Bag X01, Scottsville 3209
,Pietermaritzburg,
South Africa
e-mail: sandilemotsa@gmail.com
Search for other works by this author on:
P. Sibanda
and Computer Science,
University of KwaZulu-Natal,
Pietermaritzburg,
e-mail: sibandap@ukzn.ac.za
P. Sibanda
School of Mathematics, Statistics
,and Computer Science,
University of KwaZulu-Natal,
Private Bag X01, Scottsville 3209
,Pietermaritzburg,
South Africa
e-mail: sibandap@ukzn.ac.za
Search for other works by this author on:
R. Nandkeolyar
School of Mathematics, Statistics
,and Computer Science,
University of KwaZulu-Natal,
Private Bag X01, Scottsville 3209
,Pietermaritzburg,
South Africa
e-mail: rajnandkeolyar@gmail.com
S. S. Motsa
School of Mathematics, Statistics
,and Computer Science,
University of KwaZulu-Natal,
Private Bag X01, Scottsville 3209
,Pietermaritzburg,
South Africa
e-mail: sandilemotsa@gmail.com
P. Sibanda
School of Mathematics, Statistics
,and Computer Science,
University of KwaZulu-Natal,
Private Bag X01, Scottsville 3209
,Pietermaritzburg,
South Africa
e-mail: sibandap@ukzn.ac.za
1Corresponding author.
Manuscript received November 5, 2013; final manuscript received April 9, 2014; published online May 2, 2014. Assoc. Editor: Malisa Sarntinoranont.
J. Nanotechnol. Eng. Med. Nov 2013, 4(4): 041002 (9 pages)
Published Online: May 2, 2014
Article history
Received:
November 5, 2013
Revision Received:
April 9, 2014
Citation
Nandkeolyar, R., Motsa, S. S., and Sibanda, P. (May 2, 2014). "Viscous and Joule Heating in the Stagnation Point Nanofluid Flow Through a Stretching Sheet With Homogenous–Heterogeneous Reactions and Nonlinear Convection." ASME. J. Nanotechnol. Eng. Med. November 2013; 4(4): 041002. https://doi.org/10.1115/1.4027435
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