旋转广义二阶流体不定常Navier-Stokes方程的相似性解  

Some New Similarity Solutions of Unsteady Navier-Stokes Equations for Generalized Second Order Fluid in Rotating System

作　　者：齐海涛[1] 徐明瑜[1] 

机构地区：[1]山东大学数学与系统科学学院,济南250100

出　　处：《山东大学学报（理学版）》2003年第1期33-36,共4页Journal of Shandong University(Natural Science)

基　　金：教育部高校博士学科点专项基金;国家自然科学基金 (10 2 72 0 67)

摘　　要：研究了在无穷平板上半空间充满广义二阶流体 ,平板和流体以相同角速度旋转时 ,由于平板在自身平面运动而引起的流动特性 借助于分数阶微积分和特殊函数理论 ,证明了平板以某种速度V0 (t)运动时 ,流体速度分布具有相似性 ,从而给出了不定常NavierThe flow property of generalized second order fluid near an infinite flat plate which was rotating in unison with the fluid with a uniform angular velocity normal to the plate and was then made to move in its own plane is studied in this paper. Using the theories of fractional calculus and special functions,it is proved that the velocity profiles in this flow are similar when the plate moves in its own plane with some kind of velocity V 0(t). Therefore,the similarity solution of velocity distribution exists in such unsteady Navier Stokes equations.

关 键 词：相似性解 广义二阶流体 分数阶段积分 

分 类 号：TB112[理学—数学]