Unsteady helical flows of a size-dependent couple-stress fluid
type: Item
instance of: scholarly article
title: Unsteady helical flows of a size-dependent couple-stress fluid
zbMATH Open document ID: 1453.76012
DOI: 10.1155/2017/9724381
author: Qammar Rubbab
author: Itrat Abbas Mirza
author: Imran Siddique
author: Saadia Irshad
published in: Advances in Mathematical Physics
publication date: 2018-10-23T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 76A05
Mathematics Subject Classification ID: 82C21
zbMATH DE Number: 6962693
Wikidata QID: Q59142486
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/9724381
OpenAlex ID: W2587185133
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description: scientific article; zbMATH DE number 6962693