Helices of fractionalized Maxwell fluid
In this paper the helical flows of fractionalized Maxwell fluid model, through a circular cylinder, is studied. The motion is produced by the cylinder that at the initial moment begins to rotate around its axis with an angular velocity Omegatp, and to slide along the same axis with linear...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2015-12-01
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| Series: | Nonlinear Engineering |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/nleng-2015-0016 |
| Summary: | In this paper the helical flows of fractionalized
Maxwell fluid model, through a circular cylinder, is studied.
The motion is produced by the cylinder that at the initial
moment begins to rotate around its axis with an angular
velocity Omegatp, and to slide along the same axis with linear
velocity Utp. The solutions that have been obtained using
Laplace and finite Hankel transforms and presented in
series form in terms of the newly defined special function
M(z), satisfy all imposed initial and boundary conditions.
Moreover, the corresponding solutions for ordinary
Maxwell and Newtonian fluid obtained as special cases of
the present general solution. Finally, the influence of various
pertinent parameters on fluid motion as well as the
comparison among different fluids models is analyzed by
graphical illustrations. |
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| ISSN: | 2192-8010 2192-8029 |