An investigation toward the existence of a complete similarity solution for boundary layer flows under the velocity slip and temperature jump conditions is carried out. The study is limited to the boundary layer flows resulting from an arbitrary freestream velocity and wall temperature given by . It is found that a similar solution exists only for and , which represents stagnation flow on isothermal surface. This case has been thoroughly investigated. The analysis showed that three parameters control the flow and heat transfer characteristics of the problem. These parameters are the velocity slip parameter , the temperature jump parameter , and Prandtl number. The effect of these parameters on the flow and heat transfer of the problem has been studied and presented. It is found that the slip velocity parameter affects both the flow and heat transfer characteristics of the problem. It is found that the skin friction coefficient decreases with increasing and most of changes in the skin friction takes place in the range . The skin friction coefficient is found to be related to and according to the relation: for with an error of . On the other hand, the correlation between Nu, , , and Pr has been found by the equation , for , , within a maximum error of .
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Investigation Into the Similarity Solution for Boundary Layer Flows in Microsystems
Suhil Kiwan,
Suhil Kiwan
Department of Mechanical Engineering,
e-mail: kiwan@just.edu.jo
Jordan University of Science and Technology
, P.O. Box 3030, Irbid 22110, Jordan
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M. A. Al-Nimr
M. A. Al-Nimr
Department of Mechanical Engineering,
Jordan University of Science and Technology
, P.O. Box 3030, Irbid 22110, Jordan
Search for other works by this author on:
Suhil Kiwan
Department of Mechanical Engineering,
Jordan University of Science and Technology
, P.O. Box 3030, Irbid 22110, Jordane-mail: kiwan@just.edu.jo
M. A. Al-Nimr
Department of Mechanical Engineering,
Jordan University of Science and Technology
, P.O. Box 3030, Irbid 22110, JordanJ. Heat Transfer. Apr 2010, 132(4): 041011 (9 pages)
Published Online: February 22, 2010
Article history
Received:
March 28, 2009
Revised:
September 6, 2009
Online:
February 22, 2010
Published:
February 22, 2010
Citation
Kiwan, S., and Al-Nimr, M. A. (February 22, 2010). "Investigation Into the Similarity Solution for Boundary Layer Flows in Microsystems." ASME. J. Heat Transfer. April 2010; 132(4): 041011. https://doi.org/10.1115/1.4000886
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