An exact solution of unsteady Couette flow of generalized second grade fluid |
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Authors: | Wenchang Tan Feng Xian Lan Wei |
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Institution: | Department of Mechanics and Engineering Science, Peking University, Beijing 100871 ,China |
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Abstract: | The fractional calculus approach is introduced into the rheological constitutive model of a generalized second grade fluid. A constitutive model with fractional derivative is developed for the generalized second grade fluid. Unsteady Couette flow of the generalized second grade fluid is studied by using the method of the discrete inverse Laplace transform and generalized Mittag-Leffler function. And then an exact solution is obtained for this problem with arbitrary fractional derivative. This provides a new analytical tool for the study of viscoelastic fluid mechanics. |
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Keywords: | fractional calculus unsteady Couette flow generalized second grade fluid exact solution |
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