Exact Solutions of Fractional Maxwell Fluid between two cylinders

• Main Authors: Sannia Afzal, Haitao Qi, Muhammad Athar, Maria Javaid, Muhammad Imran
• Format: Article
• Language: English
• Published: Ptolemy Scientific Research Press 2017-10-01
• Series: Open Journal of Mathematical Sciences
• Subjects: Fluid dynamics; Maxwell Fluid; Exact solutions.
• Online Access: https://openmathscience.com/exact-solutions-of-fractional-maxwell-fluid-between-two-cylinders/

In this paper the velocity field and the adequate shear stress corresponding to the rotational flow of a fractional Maxwell fluid, between two infinite coaxial circular cylinders with inner cylinder is at rest and outer is moving, are determined by applying the Laplace and finite Hankel transforms. The solutions that have been obtained are presented in terms of generalized G functions. The expressions for the velocity field and the shear stress are in the most simplified form. Moreover, these solutions satisfy both the governing differential equation and all imposed initial and boundary conditions. The corresponding solutions for ordinary Maxwell and Newtonian fluids are recovered as limiting cases of general solutions.