Analytical Solutions Under No Slip Effects for Accelerated Flows of Maxwell Fluids

Abstract

This research article, we present the analysis for velocity field and adequate shear stress of the Maxwell fluid moving with no slip effects over an infinite plate by using (integral transforms) Laplace and Fourier Sine transforms and their inverses. Analytical solutions are established for simple functions, integral and primitive forms and convolution product. All general solutions satisfy all necessary conditions (Initial and boundary conditions). Furthermore general solutions are reduced for the behavior of Newtonian fluid as the limiting case. In the last, all the solutions are presented graphically for comparison and thus concluded on their basis our facts and results.