EXACT ANALYTICAL SOLUTIONS FOR MAXWELL FLUID OVER AN OSCILLATING PLANE

This analysis deals with the exact analytical solutions for the velocity field and the adequate shear stress for Maxwell fluid over the sine and cosine oscillations. The solutions for the velocity field and the adequate shear stress for Maxwell fluid are investigated. These solutions are obtained by employing the approach of integral transforms (Fourier Sine and Laplace transforms). Both the results of velocity field and shear stress are written in terms of the convolutions theorem, elementary functions and simple integral forms; satisfy all the initial and boundary conditions. Newtonian fluid is the limited case, which is reduced for the expression of velocity field and adequate shear stress . Finally the distinct variations of parameters are depicted for graphical illustrations in order to meet the different physical situations.

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