非牛顿幂律流体球向不定常渗流问题的近似解

Approximate Solutions to the Spherically Unsteady Flow of Non-Newtonian Power-Law Fluids in Porous Media

文献１用影响半径的概念和平均值方法求得了弱压缩非牛顿幂律流体球向不定常渗流问题的近似解．此解不满足连续性方程．本文在更加严密的理论基础上求得了近似满足所有基本方程和内、外边界条件的新的近似解．对于影响半径，近似解和文献１的近似解的相应公式的结构是相似的．当流态指数ｎ＝１时，无因次压力函数和文献１的相应公式基本一致．

n Ref.[1].the conception of influence radius and the mean value method were used to obtain the approximate solutions to the spherically unsteady flow of slightly compressible non-Newtonian power law fluids in porous media.These solutions did not satisfy the equation of continuity,ln this paper,the author has obtained new approximate solutions which satisfy approximately all the basic equations and all the boundary value conditions. For the influence radius,the structures of the author's approximate solutions and those in Ref.[1] are similar.When n=1,the author's non-dimensional pressure function and that in Ref.[1] coincide basically.