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Unsteady Helical Flows of a Size-Dependent Couple-Stress Fluid

Author

Listed:
  • Qammar Rubbab
  • Itrat Abbas Mirza
  • Imran Siddique
  • Saadia Irshad

Abstract

The helical flows of couple-stress fluids in a straight circular cylinder are studied in the framework of the newly developed, fully determinate linear couple-stress theory. The fluid flow is generated by the helical motion of the cylinder with time-dependent velocity. Also, the couple-stress vector is given on the cylindrical surface and the nonslip condition is considered. Using the integral transform method, analytical solutions to the axial velocity, azimuthal velocity, nonsymmetric force-stress tensor, and couple-stress vector are obtained. The obtained solutions incorporate the characteristic material length scale, which is essential to understand the fluid behavior at microscales. If characteristic length of the couple-stress fluid is zero, the results to the classical fluid are recovered. The influence of the scale parameter on the fluid velocity, axial flow rate, force-stress tensor, and couple-stress vector is analyzed by numerical calculus and graphical illustrations. It is found that the small values of the scale parameter have a significant influence on the flow parameters.

Suggested Citation

  • Qammar Rubbab & Itrat Abbas Mirza & Imran Siddique & Saadia Irshad, 2017. "Unsteady Helical Flows of a Size-Dependent Couple-Stress Fluid," Advances in Mathematical Physics, Hindawi, vol. 2017, pages 1-10, February.
    • Handle: RePEc:hin:jnlamp:9724381
    DOI: 10.1155/2017/9724381
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    Cited by:

    1. Sergey V. Ershkov & Evgeniy Yu. Prosviryakov & Mikhail A. Artemov & Dmytro D. Leshchenko, 2023. "Non-Stationary Helical Flows for Incompressible Couple Stress Fluid," Mathematics, MDPI, vol. 11(24), pages 1-15, December.

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