Analytical solutions of fractional partial differential equations for the second grade fluid flow.
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Date
2023
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Publisher
UMT Lahore
Abstract
This thesis deals with unsteady flow of second grade fluid over an infinite plate. The governing equations for flow are developed through constitutive relations. Then classical model extended to fractional order model with power law fractional differential operator. The Laplace transform (LT) method, which is expressed in terms of series that meet the boundary conditions, is used to discover the analytical solutions. Some graphs are shown to illustrate the physical significance of flow parameters. Recent results from the existing literature are also recovered to validate.