Applied Mathematics and Mechanics (English Edition) ›› 2013, Vol. 34 ›› Issue (2): 153-166.doi: https://doi.org/10.1007/s10483-013-1660-8

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Transient flows of Maxwell fluid with slip conditions

T. HAYAT1  S.ZAIB1  S. ASGHAR2  K. BHATTACHARYYA 3 S. A. SHEHZAD1   

  1. 1. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan;
    2. Department of Mathematics, Comsats Institute of Information Technology, Islamabad 44000, Pakistan;
    3. Department of Mathematics, University of Burdwan, Burdwan 713104, India
  • 收稿日期:2011-12-21 修回日期:2012-10-11 出版日期:2013-02-03 发布日期:2013-01-22
  • 通讯作者: T. HAYAT, Professor, Ph.D., E-mail: pensy t@yahoo.com E-mail:pensy t@yahoo.com

Transient flows of Maxwell fluid with slip conditions

 T. HAYAT1,  S.ZAIB1,  S. ASGHAR2,  K. BHATTACHARYYA3,  S. A. SHEHZAD1   

  1. 1. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan;
    2. Department of Mathematics, Comsats Institute of Information Technology, Islamabad 44000, Pakistan;
    3. Department of Mathematics, University of Burdwan, Burdwan 713104, India
  • Received:2011-12-21 Revised:2012-10-11 Online:2013-02-03 Published:2013-01-22
  • Contact: T. HAYAT, Professor, Ph.D., E-mail: pensy t@yahoo.com E-mail:pensy t@yahoo.com

摘要:

Two fundamental flows, namely, the Stokes and Couette flows in a Maxwell fluid are considered. The exact analytic solutions are derived in the presence of the slip condition. The Laplace transform method is employed for the development of such solutions. Limiting cases of no-slip and viscous fluids can be easily recovered from the present analysis. The behaviors of embedded flow parameters are discussed through graphs.

关键词: residue, exact solution, Maxwell fluid, rotational plastic deformation, microscopic scale, disclination, dislocation, slip condition

Abstract:

Two fundamental flows, namely, the Stokes and Couette flows in a Maxwell fluid are considered. The exact analytic solutions are derived in the presence of the slip condition. The Laplace transform method is employed for the development of such solutions. Limiting cases of no-slip and viscous fluids can be easily recovered from the present analysis. The behaviors of embedded flow parameters are discussed through graphs.

Key words: dislocation, rotational plastic deformation, microscopic scale, disclination

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