粘性流体运动自型问题的分析解

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Analytical Solutions for the Selfsimilar Problems of Viscous Fluid Flow

摘要: 本文用逐步逼近法得到了粘性流体运动的自型问题的微分方程(1.1～1.4)的分析解Проснак(1969)用小参数法也得到了这些方程的解.但他把控制方程变换成为一组线性变系数微分方程.本文则把控制方程变换成为线性常系数微分方程.

Abstract: This paper presents a step-by-step approximating method to obtain the analytical solutions of the differential equations for the self-similar problems of viscous fluid flow (1.1-1.4). Prosnak (1969) obtained solutions of these equations by using a small parameter method, but he reduced the governing equations to the linear differential equations with constant coefficients.

[1]	Проснак В.,О методе малого параметра в применении к некоторым автомоделъным задачам движения вязкой жидкости,Механuка,(1972,3*133).