Existence and estimate of positive solutions to a nonlinear singular boundary value problem in the theory of dilatant non-Newtonian fluids |
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| Institution: | 1. Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083, China;2. School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China;3. Thermal Engineering Department, Northeastern University, Shenyang 110006, China |
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| Abstract: | This paper presents a rigorous proof of existence and uniqueness of solutions to laminar boundary layer flow in power law non-Newtonian fluid. A theoretical estimate for skin friction coefficient is given, which is characterized by a power law exponent. The reliability and efficiency of the proposed estimate formula are verified by numerical results with a good agreement. The estimate formula can be successfully applied to give the value of the skin friction coefficient. |
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