Analytic solutions of oldyrod-b fluid with fractional derivatives in a circular duct that applies a constant couple
Loading...
Date
2016
Journal Title
Journal ISSN
Volume Title
Publisher
Alexendria Engineering Journal, Elsevier
Abstract
The aim of this article was to analyze the rotational flow of an Oldroyd-B fluid with fractional derivatives, induced by an infinite circular cylinder that applies a constant couple to the fluid. Such kind of problem in the settings of fractional derivatives has not been found in the literature. The solutions are based on an important remark regarding the governing equation for the nontrivial shear stress. The solutions that have been obtained satisfy all imposed initial and boundary conditions and can easily be reduced to the similar solutions corresponding to ordinary Oldroyd-B, fractional/ordinary Maxwell, fractional/ordinary second-grade, and Newtonian fluids performing the same motion. The obtained results are expressed in terms of Newtonian and non-Newtonian contributions. Finally, the influence of fractional parameters on the velocity, shear stress and a comparison between generalized and ordinary fluids is graphically underlined.
Description
Keywords
Mathematics, Oldyrod-B fluid, Fractional calculus, Velocity field, Shear stress, Circular duct, Analytic solutions.
Citation
Riaz, M. B., Asjad, M. I., & Shabbir, K. (2016). Analytic solutions of oldyrod-B fluid with fractional derivatives in a circular duct that applies a constant couple. Alexendria Engineering Journal, 3(43), 1-9. ( Muhammad Bilal Riaz (Mathematics /SSC) Muhammad Imran Asjad, (NOT RECOGNIZED BY HEC))