Cited Article: Thompson, P. A general boundary condition for liquid flow at solid surfaces
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Title:
Falkner-Skan Flow over a Wedge with Slip Boundary Conditions
Authors:
Martin, MJ; Boy, ID
Author Full Names:
Martin, Michael J.; Boy, Iain D.
Source:
JOURNAL OF THERMOPHYSICS AND HEAT TRANSFER 24 (2): 263-270 APR-JUN 2010
Language:
English
Document Type:
Proceedings Paper
KeyWords Plus:
HEAT-TRANSFER; GAS-FLOW; LAYER; FLUID; EQUATIONS
Abstract:
The Falkner-Skan solution for laminar boundary-layer flow over a wedge is modified to allow for a slip boundary condition. A modified boundary-layer Knudsen number K is introduced, and the coordinate system is transformed from one-dimensional to two-dimensional to allow for the loss of self-similarity in the flow. A marching scheme is used to solve the boundary-layer equations in the rarefied flow regime. The results of this solution show decreased skin friction, boundary-layer thickness, velocity thickness, and momentum thickness because of the presence of the slip boundary condition. When the energy equation is solved using a temperature-jump boundary condition, the heat transfer increases for slightly rarefied flows, and then decreases as the Knudsen number increases.
Reprint Address:
Martin, MJ, Louisiana State Univ, Dept Mech Engn, Baton Rouge, LA 70803 USA.
Research Institution addresses:
[Martin, Michael J.; Boy, Iain D.] Univ Michigan, Dept Aerosp Engn, Ann Arbor, MI 48109 USA
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Cited Reference Count:
39
Times Cited:
0
Publisher:
AMER INST AERONAUT ASTRONAUT; 1801 ALEXANDER BELL DRIVE, STE 500, RESTON, VA 22091-4344 USA
Subject Category:
Thermodynamics; Engineering, Mechanical
ISSN:
0887-8722
DOI:
10.2514/1.43316
IDS Number:
588TG
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