Study on the helicoidal flow through cylindrical annuli with prescribed shear stresses

Muhammad Kamran, Yasir Bashir, Aamir Farooq, Azeem Shahzad, Abd Allah A. Mousa, Hammad Alotaibi, Hijaz Ahmad

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


In this article, we presented an analysis of the helical flow, for evaluating the incompressible Maxwell fluid indwelling between the two circular regions created by infinitely long concentric circular cylinders. Time-depended longitudinal and torsional shear stresses are implemented around the periphery of the inner circular cylinder to set the fluid in motion, while keeping the outer one inert. Exact analytic solution of the mathematical model in form of partial differential equations(PDE) is obained by performing the integral transform. We also retrieved the analogous solution of fluid, encompassing same properties as of Newtonian fluid in form of our general solutions. To end up with, we presented different graphs, showing the sway of appropriate parameters affecting the shear stresses and velocity components. In addition, we also presented graphs for comparison of Newtonian and Maxwell fluids. To end up with, the significance of appropriate parameters on the components of shear stresses and velocities, as well as motion for Newtonian and Maxwell fluids are analyzed and discussed via graphs.
Original languageEnglish (US)
JournalResults in Physics
StatePublished - Apr 1 2021
Externally publishedYes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2023-09-21

ASJC Scopus subject areas

  • General Physics and Astronomy


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