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

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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, John Wiley & Sons, vol. 2017(1).
    • Handle: RePEc:wly:jnlamp:v:2017:y:2017:i:1:n:9724381
    DOI: 10.1155/2017/9724381
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    References listed on IDEAS

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    1. Hamzah Bakhti & Lahcen Azrar, 2016. "Steady Flow of Couple‐Stress Fluid in Constricted Tapered Artery: Effects of Transverse Magnetic Field, Moving Catheter, and Slip Velocity," Journal of Applied Mathematics, John Wiley & Sons, vol. 2016(1).
    2. Hamzah Bakhti & Lahcen Azrar, 2016. "Steady Flow of Couple-Stress Fluid in Constricted Tapered Artery: Effects of Transverse Magnetic Field, Moving Catheter, and Slip Velocity," Journal of Applied Mathematics, Hindawi, vol. 2016, pages 1-11, February.
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