胀塑性非牛顿流体理论中一类奇异非线性边界值问题
Singular Nonlinear Boundary Value Problem in The Theory of Dilatant Non-Newtonian Fluids
本文研究了起源于胀塑性非牛顿流体理论中一类奇异非线性边界值问题，利用泛函分析中的控制收敛定理, Schauder 不动点定理和奇异摄动理论和打靶法 技巧, 从理论上得到了由幂律指数表示的幂律型非牛顿流体层流边界层壁摩擦系数估计公式，数值结果证明了估计公式的可靠性和有效性.
rigorous proof of existence and uniqueness of solutions to a singular nonlinear boundary value problem in the theory of Dilatant non-Newtonian fluids is given and a theoretical estimate formula for skin friction coefficient is presented, which is characterized by power law exponent. The reliability and efficiency of the analytical predictions are verified by the numerical results with good agree. The estimate formula can be successfully applied to give the value of skin friction coefficient.
郑连存
数学力学
幂律非牛顿流体 奇异非线性边值问题，控制收敛定理
ilatant non-Newtonian fluids similarity solution nonlinear boundary value problem.
郑连存.胀塑性非牛顿流体理论中一类奇异非线性边界值问题[EB/OL].(2006-02-08)[2025-08-18].http://www.paper.edu.cn/releasepaper/content/200602-36.点此复制
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