Journal of Engineering Mathematics

, Volume 89, Issue 1, pp 1–11 | Cite as

Extended Stokes’ problems for Maxwell fluids

Article

Abstract

Extended Stokes’ problems have attracted a great deal of attention owing to their wide applications as well as their intrinsic mathematical interest. Whereas the traditional Stokes’ problem has only one spatial dependence, the extended problem has two spatial dependences, which greatly increases the difficulty of solving the problem. The present work considers a Maxwell fluid driven suddenly by two half-plates moving in opposite directions. Integral transforms are used to obtain the exact solution, which is then used to analyze the effects of relaxation time and viscosity. The mathematical methods used in the present work can also be applied to related problems.

Keywords

Contour integration Extended Stokes’ problems Maxwell fluid 

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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Division of Mathematics, General Education CenterChienkuo Technology UniversityChanghua City Taiwan
  2. 2.International Wave Dynamics Research CenterNational Cheng-Kung UniversityTainan City Taiwan

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