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Similarity solutions of a class of laminar three-dimensional boundary layer equations of power law fluids |
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| Authors: | Tsung Yen Na Arthur G. Hansen |
| Affiliation: | Department of Mechanical Engineering, University of Michigan, Dearborn, Michigan, USA College of Engineering, Georgia Institute of Technology, Atlanta, Georgia, USA |
| Abstract: | An analysis of the possibility of finding similarity solutions to the three-dimensional, steady, incompressible, boundary layer equations in rectangular coordinates for a power law fluid is investigated. It is found that, in general, the two components of the mainstream flow must differ by at most a multiplicative constant and that these components are powers or exponentials of the x'-coordinate. By assuming small cross-flows, the cross flow component may be generalized and found to be representable by a polynomial in the through flow variable, x'. |
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