Abstract

This paper presents an analysis for oscillating flows of fractional Maxwell fluid in the annular region between two infinite concentric circular cylinders. The fluid motion is created as both cylinders begin to oscillate around their common axis. The exact solutions are established using the sequential fractional derivatives Laplace transform and finite Hankel transform in terms of generalized G and R functions. Also, we obtain the solutions for ordinary Maxwell fluid and Newtonian fluid as special cases of the generalized solutions. Moreover, the effects of various parameters on the velocity field and shear stress are analyzed by graphical illustration. Finally, a comparison is drawn between motions of fractional Maxwell fluid, ordinary Maxwell fluid and Newtonian fluid.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.