Powell-Eyring模型的平行平板间库埃特流动  

Couette Flow between Parallel Plates of Powell-Eyring Model

作　　者：毛志勇[1] 孙艳军[1] 娜仁[1] 

机构地区：[1]内蒙古财经大学统计与数学学院,呼和浩特010071

出　　处：《内蒙古大学学报（自然科学版）》2017年第3期268-271,共4页Journal of Inner Mongolia University：Natural Science Edition

基　　金：内蒙古自治区自然科学基金(2015MS0113);内蒙古自治区高等学校科学技术研究一般项目(NJZY14109)

摘　　要：利用同伦摄动法求解了平行平板间Powell-Eyring流体的库埃特流动,得到了近似解,并用切比雪夫谱配置法验证近似解.在此基础上,研究了无量纲参数无量纲压力梯度Ω和Powell-Eyring流体和牛顿流体的黏度之比Reγ对速度剖面u的影响.结果表明,同伦摄动法的收敛速度较快,展开到1阶解就完全跟数值解吻合;速度振幅随Ω增加而减少,随Reγ增加而增加.Using the homotopy perturbation method to solve the Couette flow of Powell-Eyring fluid between parallel plates,an approximate solution is obtained and approximate solution is veri- fied with Chebyshev spectral collocation method. On this basis, the influence of the dimensionless parameter,dimensionless pressure gradient Ω and the viscosity ratio of Powell-Eyring fluid and Newtonian fluid Re γ to velocity profile u is studied. The results show that the convergence rate of homotopy perturbation method is faster,the solution expanded to first order is completely consistent with the numerical solution. And the velocity amplitude reduces with increasing A and increases with increasing Re γ.

关 键 词：库埃特流动 Powell-Eyring模型 同伦摄动法 谱配置法 

分 类 号：O357.1[理学—流体力学]