Unsteady Helical Flows of a Size-Dependent Couple-Stress Fluid
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...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/9724381 |
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| author | Qammar Rubbab Itrat Abbas Mirza Imran Siddique Saadia Irshad |
| author_facet | Qammar Rubbab Itrat Abbas Mirza Imran Siddique Saadia Irshad |
| author_sort | Qammar Rubbab |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-ec8fa00589df4d64bc06b125add31c82 |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-ec8fa00589df4d64bc06b125add31c822025-08-20T02:21:49ZengWileyAdvances in Mathematical Physics1687-91201687-91392017-01-01201710.1155/2017/97243819724381Unsteady Helical Flows of a Size-Dependent Couple-Stress FluidQammar Rubbab0Itrat Abbas Mirza1Imran Siddique2Saadia Irshad3Department of Computer Sciences, Air University Multan Campus, Multan, PakistanAbdus Salam School of Mathematical Sciences, GC University, Lahore, PakistanDepartment of Mathematics, University of Management and Technology, Sialkot Campus, PakistanDepartment of Management Sciences, Air University Multan Campus, Multan, PakistanThe 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.http://dx.doi.org/10.1155/2017/9724381 |
| spellingShingle | Qammar Rubbab Itrat Abbas Mirza Imran Siddique Saadia Irshad Unsteady Helical Flows of a Size-Dependent Couple-Stress Fluid Advances in Mathematical Physics |
| title | Unsteady Helical Flows of a Size-Dependent Couple-Stress Fluid |
| title_full | Unsteady Helical Flows of a Size-Dependent Couple-Stress Fluid |
| title_fullStr | Unsteady Helical Flows of a Size-Dependent Couple-Stress Fluid |
| title_full_unstemmed | Unsteady Helical Flows of a Size-Dependent Couple-Stress Fluid |
| title_short | Unsteady Helical Flows of a Size-Dependent Couple-Stress Fluid |
| title_sort | unsteady helical flows of a size dependent couple stress fluid |
| url | http://dx.doi.org/10.1155/2017/9724381 |
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