A model based on the works of Buongiorno, which includes the effects of Brownian motion and thermophoresis, is used to develop the governing equations for convection in nanofluids. The analysis includes examples with water and ethylene glycol as the base fluids and nanoparticles of Cu and Al2O3. An assumption of zero nanoparticle flux is used at the surface of the plate to make the model more physically realistic. The model accounts for the effects of both Brownian motion and thermophoresis in the mass boundary condition. Using suitable transformations, the governing partial differential equations are converted into ordinary differential equations which are solved numerically. The dimensionless velocity, temperature, and concentration gradients are used in the second law analysis to determine heat and mass transfer rates. It is shown that the dimensionless entropy generation rate strongly depends upon the solid volume fraction of the nanoparticles, local Reynolds number, and group parameters.
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Research-Article
Second Law Analysis of Heat and Mass Transfer of Nanofluids Along a Plate With Prescribed Surface Heat Flux
Waqar A. Khan,
Waqar A. Khan
1
Department of Mechanical
and Mechatronics Engineering,
e-mail: wkhan_2000@yahoo.com
and Mechatronics Engineering,
University of Waterloo
,Waterloo, ON N2L 3G1
, Canada
e-mail: wkhan_2000@yahoo.com
1Corresponding author.
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Richard Culham,
Richard Culham
Department of Mechanical
and Mechatronics Engineering,
and Mechatronics Engineering,
University of Waterloo
,Waterloo, ON N2L 3G1
, Canada
Search for other works by this author on:
A. Aziz
A. Aziz
Life Fellow ASME
Distinguished Research Professor
Department of Mechanical Engineering,
Distinguished Research Professor
Department of Mechanical Engineering,
Gonzaga University
,E. 502 Boone Avenue
,Spokane, WA 99258
Search for other works by this author on:
Waqar A. Khan
Department of Mechanical
and Mechatronics Engineering,
e-mail: wkhan_2000@yahoo.com
and Mechatronics Engineering,
University of Waterloo
,Waterloo, ON N2L 3G1
, Canada
e-mail: wkhan_2000@yahoo.com
Richard Culham
Department of Mechanical
and Mechatronics Engineering,
and Mechatronics Engineering,
University of Waterloo
,Waterloo, ON N2L 3G1
, Canada
A. Aziz
Life Fellow ASME
Distinguished Research Professor
Department of Mechanical Engineering,
Distinguished Research Professor
Department of Mechanical Engineering,
Gonzaga University
,E. 502 Boone Avenue
,Spokane, WA 99258
1Corresponding author.
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received August 21, 2014; final manuscript received March 16, 2015; published online April 21, 2015. Assoc. Editor: Giulio Lorenzini.
J. Heat Transfer. Aug 2015, 137(8): 081701 (9 pages)
Published Online: August 1, 2015
Article history
Received:
August 21, 2014
Revision Received:
March 16, 2015
Online:
April 21, 2015
Citation
Khan, W. A., Culham, R., and Aziz, A. (August 1, 2015). "Second Law Analysis of Heat and Mass Transfer of Nanofluids Along a Plate With Prescribed Surface Heat Flux." ASME. J. Heat Transfer. August 2015; 137(8): 081701. https://doi.org/10.1115/1.4030246
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