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...

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Main Authors: Naeem Sadiq, Muhammd Imran, Constantin Fetecau, Najma Ahmed
Format: Article
Language:English
Published: SpringerOpen 2019-01-01
Series:Boundary Value Problems
Subjects:
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.
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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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AT constantinfetecau rotationalmotionoffractionalmaxwellfluidsinacircularductduetoatimedependentcouple
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