- Tytuł:
- Exact solutions for fractionalized second grade fluid flows with boundary slip effects
- Autorzy:
-
Dehraj, S.
Malookani, R. A.
Aasoori, S. K.
Bhutto, G. M.
Arain, L. - Powiązania:
- https://bibliotekanauki.pl/articles/1839889.pdf
- Data publikacji:
- 2021
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
transformata Laplace'a
poślizg
płyn eksploatacyjny
second grade fluid
Caputo fractional operator
slip effects
discrete Laplace transform - Opis:
- In this paper, an exact analytical solution for the motion of fractionalized second grade fluid flows moving over accelerating plate under the influence of slip has been obtained. A coupled system of partial differential equations representing the equation of motion has been re-written in terms of fractional derivatives form by using the Caputo fractional operator. The Discrete Laplace transform method has been employed for computing the expressions for the velocity field […] and the corresponding shear stress […]. The obtained solutions for the velocity field and the shear stress have been written in terms of Wright generalized hypergeometric function pqψ and are expressed as a sum of the slip contribution and the corresponding no-slip contribution. In addition, the solutions for a fractionalized, ordinary second grade fluid and Newtonian fluid in the absence of slip effect have also been obtained as special case. Finally, the effect of different physical parameters has been demonstrated through graphical illustrations.
- Źródło:
-
International Journal of Applied Mechanics and Engineering; 2021, 26, 1; 88-103
1734-4492
2353-9003 - Pojawia się w:
- International Journal of Applied Mechanics and Engineering
- Dostawca treści:
- Biblioteka Nauki
Artykuł