Extended Stokes’ problems for Maxwell fluids
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.
KeywordsContour integration Extended Stokes’ problems Maxwell fluid