文章摘要
引用本文:
多孔介质中非线性延伸壁面上驻点流动的非相似解
Non-similarity solutions of stagnation-point flow over a nonlinear stretching sheet embedded in a porous medium
投稿时间:2017-04-23  修订日期:2017-06-16
DOI:
中文关键词: 驻点流  多孔介质  同伦分析法
英文关键词: stagnation-point flow  porous medium  homotopy analysis method.
基金项目:国家自然科学资助(51305080)
作者单位E-mail
代宇 福州大学数学与计算机科学学院 2472763054@qq.com 
沈明 福州大学数学与计算机科学学院 shenming0516@163.com 
陈晖 福州大学机械工程及自动化学院  
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中文摘要:
      基于不可压缩粘性流体在多孔介质中的流动,考虑到孔隙率和渗透率的影响,本文研究了多孔介质中非线性运动延伸壁面上的驻点边界层流动问题。引入无量纲变换将边界层控制方程进行化简,并通过同伦分析方法求得方程的非相似解。在此基础上,利用同伦解讨论了多孔介质孔隙率、渗透率以及非线性参数等重要参数对流体速度分布和表面摩擦力的影响。结果显示孔介质中孔隙率参数和非线性参数对达西速度剖面的影响作用大于渗透参数的影响;表面摩擦系数随着多孔介质渗透参数的增大而增大,孔隙率的增大而减小。
英文摘要:
      In this paper, considering the effects of the porosity and permeability of a porous medium , the stagnation-point flow towards a nonlinear stretching sheet based on incompressible viscous flow has been mainly investigated. Introducing the dimensionless transformations, the governing equations describing the stagnation point flow are reduced and solved by homotopy analysis method, which is introduced to obtain the non-similarity solutions of the governing equations. The influences of the important parameters including porosity, permeability and nonlinear parameter on the skin friction coefficient and velocity profile are discussed in detail. The results show that the impact of porosity and nonlinear parameter are larger than the permeability on velocity profile. Besides, it is also found that the skin friction coefficient increases with the parameter of permeability, and decreases with the parameter of porosityS.
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