Explicit solution for some generalized fluids in laminar flow with slip boundary conditions
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Authors
Mourad Chamekh
- Mathematics Department, Colleges of Science and Arts, AlKamel, University of Jeddah, KSA \(\&\) University of Tunis El Manar, National Engineering School at Tunis, LAMSIN, 1002, Tunis, Tunisia
Tarig. M. Elzaki
- Mathematics Department, Colleges of Science and Arts, AlKamel, University of Jeddah, KSA
Abstract
In this study, we present a new approximation method to give an explicit solution of a laminar flow using a Sisko
model. This is a problem of a generalized Newtonian fluid with slip boundary conditions. The proposed method
is based on the variational iteration method (VIM) combined with an approximation step. This method is validated
where the exact solution is available. In addition, in order to enrich the discussion, a numerical method is
presented. The results illustrate that the VIM may be more effective that the finite difference method for a dilatant
fluid. However, the VIM will be inappropriate for pseudoplastic fluid cases.
Share and Cite
ISRP Style
Mourad Chamekh, Tarig. M. Elzaki, Explicit solution for some generalized fluids in laminar flow with slip boundary conditions, Journal of Mathematics and Computer Science, 18 (2018), no. 3, 272--281
AMA Style
Chamekh Mourad, Elzaki Tarig. M., Explicit solution for some generalized fluids in laminar flow with slip boundary conditions. J Math Comput SCI-JM. (2018); 18(3):272--281
Chicago/Turabian Style
Chamekh, Mourad, Elzaki, Tarig. M.. "Explicit solution for some generalized fluids in laminar flow with slip boundary conditions." Journal of Mathematics and Computer Science, 18, no. 3 (2018): 272--281
Keywords
- Sisko model
- variational iteration method
- dilatant fluid
- pseudoplastic fluid
MSC
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