New Exact Solutions for the Flow of Generalized Maxwell Fluid.
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Date
2016-08-26
Journal Title
Journal ISSN
Volume Title
Publisher
Journal of Computational and Theoretical Nanoscience, American Scientific
Abstract
Exact solutions for unsteady flow of the fractional Maxwell fluid have been investigated using integral transforms technique. Expressions for velocity can be written as a sum of Newtonian and nonNewtonian contributions and are presented in term of generalized G-function. Three particular cases namely translation of plate with uniform velocity, constant acceleration and sinusoidal acceleration of the plate are considered. The unsteady motion of the Maxwell fluid with fractional derivative over an infinite plate is obtained as limiting case. Influence of the fractional parameter as well as material parameters on the fluid motion are studied. By graphical illustrations, comparison between the velocity of the fractional and classical fluids is also made.
Description
Keywords
Mathematics, Maxwell fluid, Fractional calculus, Exact solutions, Velocity field.
Citation
Riaz, M. B., Asjad, M. I., & Shabbir, K. (2016). New Exact Solutions for the Flow of Generalized Maxwell Fluid. Journal of Computational and Theoretical Nanoscience, 13(8), 5254-5257. (Muhammad Bilal Riaz (Mathematics /SSC) Muhammad Imran Asjad, JCR LISTED (IF:1:666))