Rotational motion of fractional Maxwell fluids in a circular duct due to a time-dependent couple
Abstract The rotational motion of fractional Maxwell fluids in an infinite circular cylinder that applies a time-dependent but not oscillating couple stress to the fluid is investigated using the integral transform technique. Such a flow model was not analyzed in the past both for ordinary and fract...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
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SpringerOpen
2019-01-01
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Series: | Boundary Value Problems |
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Online Access: | http://link.springer.com/article/10.1186/s13661-019-1132-1 |
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author | Naeem Sadiq Muhammd Imran Constantin Fetecau Najma Ahmed |
author_facet | Naeem Sadiq Muhammd Imran Constantin Fetecau Najma Ahmed |
author_sort | Naeem Sadiq |
collection | DOAJ |
description | Abstract The rotational motion of fractional Maxwell fluids in an infinite circular cylinder that applies a time-dependent but not oscillating couple stress to the fluid is investigated using the integral transform technique. Such a flow model was not analyzed in the past both for ordinary and fractional rate type fluids. This is due to their constitutive equations which contain differential expressions acting on the shear stresses. The obtained solutions fulfill all the enforced initial and boundary conditions and are easily reduced to the solutions of Newtonian or ordinary Maxwell fluids having similar motion. At the end, the influence of pertinent parameters on velocity and shear stress variations is graphically underlined and discussed. |
first_indexed | 2024-12-14T03:23:45Z |
format | Article |
id | doaj.art-fbe5081017ad4f59826f3d6da58672d4 |
institution | Directory Open Access Journal |
issn | 1687-2770 |
language | English |
last_indexed | 2024-12-14T03:23:45Z |
publishDate | 2019-01-01 |
publisher | SpringerOpen |
record_format | Article |
series | Boundary Value Problems |
spelling | doaj.art-fbe5081017ad4f59826f3d6da58672d42022-12-21T23:18:57ZengSpringerOpenBoundary Value Problems1687-27702019-01-012019111110.1186/s13661-019-1132-1Rotational motion of fractional Maxwell fluids in a circular duct due to a time-dependent coupleNaeem Sadiq0Muhammd Imran1Constantin Fetecau2Najma Ahmed3Department of Mathematics, Government College UniversityDepartment of Mathematics, Government College UniversityAcademy of Romanian ScientistsAbdus Salam School of Mathematical Sciences, Government College UniversityAbstract The rotational motion of fractional Maxwell fluids in an infinite circular cylinder that applies a time-dependent but not oscillating couple stress to the fluid is investigated using the integral transform technique. Such a flow model was not analyzed in the past both for ordinary and fractional rate type fluids. This is due to their constitutive equations which contain differential expressions acting on the shear stresses. The obtained solutions fulfill all the enforced initial and boundary conditions and are easily reduced to the solutions of Newtonian or ordinary Maxwell fluids having similar motion. At the end, the influence of pertinent parameters on velocity and shear stress variations is graphically underlined and discussed.http://link.springer.com/article/10.1186/s13661-019-1132-1Fractional Maxwell fluidCylindrical domainShear stress on the boundary |
spellingShingle | Naeem Sadiq Muhammd Imran Constantin Fetecau Najma Ahmed Rotational motion of fractional Maxwell fluids in a circular duct due to a time-dependent couple Boundary Value Problems Fractional Maxwell fluid Cylindrical domain Shear stress on the boundary |
title | Rotational motion of fractional Maxwell fluids in a circular duct due to a time-dependent couple |
title_full | Rotational motion of fractional Maxwell fluids in a circular duct due to a time-dependent couple |
title_fullStr | Rotational motion of fractional Maxwell fluids in a circular duct due to a time-dependent couple |
title_full_unstemmed | Rotational motion of fractional Maxwell fluids in a circular duct due to a time-dependent couple |
title_short | Rotational motion of fractional Maxwell fluids in a circular duct due to a time-dependent couple |
title_sort | rotational motion of fractional maxwell fluids in a circular duct due to a time dependent couple |
topic | Fractional Maxwell fluid Cylindrical domain Shear stress on the boundary |
url | http://link.springer.com/article/10.1186/s13661-019-1132-1 |
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