The analytical solution for a vertical heated plate subjected to conjugate heat transfer due to natural convection at the surface and conduction below is presented. The heated surface is split into two regions; the uniform heat flux region toward upstream and remaining fraction as the uniform wall temperature region. The fractional areas under the two regions are considered variable. Adopting thermally thin wall regime approximation, the possible solutions were investigated and found to satisfactorily deal with longitudinal conduction and temperature variation in the transverse direction. A test setup was developed and the experiments were conducted to obtain relevant data for comparison with the analytical solutions. The ranges for Rayleigh number and heat conduction parameter during various test conditions were , and 0.001–1, respectively. The limiting solutions for stipulated conditions are analyzed and compared with experimental data. Reasonable agreement is observed between the experimental and analytical results.
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e-mail: v.yadav@auckland.ac.nz
e-mail: keshav@iitk.ac.in
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Research Papers
Experimental Validation of Analytical Solutions for Vertical Flat Plate of Finite Thickness Under Natural-Convection Cooling
Vipin Yadav,
Vipin Yadav
Department of Mechanical Engineering,
e-mail: v.yadav@auckland.ac.nz
The University of Auckland
, Auckland, New Zealand 1142
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Keshav Kant
Keshav Kant
Department of Mechanical Engineering,
e-mail: keshav@iitk.ac.in
Indian Institute of Technology
, Kanpur 208 016, India
Search for other works by this author on:
Vipin Yadav
Department of Mechanical Engineering,
The University of Auckland
, Auckland, New Zealand 1142e-mail: v.yadav@auckland.ac.nz
Keshav Kant
Department of Mechanical Engineering,
Indian Institute of Technology
, Kanpur 208 016, Indiae-mail: keshav@iitk.ac.in
J. Heat Transfer. Mar 2008, 130(3): 032503 (11 pages)
Published Online: March 6, 2008
Article history
Received:
September 8, 2006
Revised:
August 19, 2007
Published:
March 6, 2008
Citation
Yadav, V., and Kant, K. (March 6, 2008). "Experimental Validation of Analytical Solutions for Vertical Flat Plate of Finite Thickness Under Natural-Convection Cooling." ASME. J. Heat Transfer. March 2008; 130(3): 032503. https://doi.org/10.1115/1.2804938
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