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A class of new exact solutions of the equations governing the steady plane flows of incompressible fluid of variable viscosity

机译:一类新的方程的精确解,用于控制粘度可变的不可压缩流体的稳态平面流

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The objective of this paper is to indicate a class of new exact solutions of the equations governing the steady plane flows of incompressible fluid of variable viscosity. The class consists of the stream function characterized by equation (2). Exact solutions are determined for and When is arbitrary we can construct an infinite set of streamlines and the velocity components, viscosity function, generalized energy function and temperature distribution . Therefore, an infinite set of solutions to flow equations. When is not arbitrary, there are two values of and therefore, two exact solutions to flow equations. The streamlines are presented through Fig.(1–56) for some chosen from of f(r).
机译:本文的目的是指出一类新的方程组的精确解,这些方程可控制粘度可变的不可压缩流体的稳定平面流动。该类由以方程式(2)为特征的流函数组成。确定的精确解,当任意时,我们可以构造出无穷多组流线,以及速度分量,粘度函数,广义能量函数和温度分布。因此,流动方程组的解无穷。当不是任意的时,存在两个值,因此,存在两个精确的流动方程解。通过f(r)中的某些选择,流线通过图(1-56)表示。

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