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Applied Mathematics and Mechanics

, Volume 34, Issue 2, pp 153–166 | Cite as

Transient flows of Maxwell fluid with slip conditions

  • T. HayatEmail author
  • S. Zaib
  • S. Asghar
  • K. Bhattacharyya
  • S. A. Shehzad
Article

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

slip condition exact solution Maxwell fluid residue 

Chinese Library Classification

O361 

2010 Mathematics Subject Classification

76W99 

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Copyright information

© Shanghai University and Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • T. Hayat
    • 1
    Email author
  • S. Zaib
    • 1
  • S. Asghar
    • 2
  • K. Bhattacharyya
    • 3
  • S. A. Shehzad
    • 1
  1. 1.Department of MathematicsQuaid-i-Azam UniversityIslamabadPakistan
  2. 2.Department of MathematicsComsats Institute of Information TechnologyIslamabadPakistan
  3. 3.Department of MathematicsUniversity of BurdwanBurdwanIndia

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