Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (9): 1119-1126.doi: https://doi.org/10.1007/s10483-011-1486-6

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Exact solution of electroosmotic flow in generalized Burgers fluid

T. HAYAT1,2, S.AFZAL1, A.HENDI3   

  1. 1. Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan;
    2. Department of Mathematics, King Saud University, Riyadh 11451, Saudi Arabia;
    3. Department of Physics, Faculty of Science, King Saud University, Riyadh 11321, Saudi Arabia
  • 出版日期:2011-09-02 发布日期:2011-09-02

Exact solution of electroosmotic flow in generalized Burgers fluid

T. HAYAT1,2, S.AFZAL1, A.HENDI3   

  1. 1. Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan;
    2. Department of Mathematics, King Saud University, Riyadh 11451, Saudi Arabia;
    3. Department of Physics, Faculty of Science, King Saud University, Riyadh 11321, Saudi Arabia
  • Online:2011-09-02 Published:2011-09-02

摘要:

An exact solution is developed for the time periodic electroosmotic flow of a non-Newtonian fluid between the micro-parallel plates. The constitutive equations of a generalized Burgers fluid are used in the mathematical formulation. The resulting problem is solved by a Fourier transform technique. Graphs are plotted and discussed for various emerging parameters of interest.

关键词: generalized Burgers fluid, periodic flow, structural design, sensitivity analysis, inverse problem, Fourier transform

Abstract:

An exact solution is developed for the time periodic electroosmotic flow of a non-Newtonian fluid between the micro-parallel plates. The constitutive equations of a generalized Burgers fluid are used in the mathematical formulation. The resulting problem is solved by a Fourier transform technique. Graphs are plotted and discussed for various emerging parameters of interest.

Key words: Fourier transform, generalized Burgers fluid, periodic flow, structural design, sensitivity analysis, inverse problem

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