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

Qammar Rubbab, Itrat Abbas Mirza, Imran Siddique and Saadia Irshad

Advances in Mathematical Physics, 2017, vol. 2017, 1-10

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.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:9724381

DOI: 10.1155/2017/9724381

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