Lie group method for unsteady heat flow of a third-grade fluid between two parallel heated plates
Volume 30, Issue 3, pp 290--301
http://dx.doi.org/10.22436/jmcs.030.03.08
Publication Date: February 02, 2023
Submission Date: September 11, 2022
Revision Date: October 06, 2022
Accteptance Date: January 14, 2023
Authors
T. Amtout
- Department of Mathematics, LMA, Faculty of Sciences and Techniques, UAE, BP 416, ancienne route de laeroport, Km 10, Ziaten, 90000, Tangier, Morocco.
M. Er-Riani
- Department of Mathematics, LMA, Faculty of Sciences and Techniques, UAE, BP 416, ancienne route de laeroport, Km 10, Ziaten, 90000, Tangier, Morocco.
M. El Jarroudi
- Department of Mathematics, LMA, Faculty of Sciences and Techniques, UAE, BP 416, ancienne route de laeroport, Km 10, Ziaten, 90000, Tangier, Morocco.
A. Lahrouz
- Department of Mathematics, LMA, Faculty of Sciences and Techniques, UAE, BP 416, ancienne route de laeroport, Km 10, Ziaten, 90000, Tangier, Morocco.
Abstract
In this paper, we use the classical Lie group method, to investigate the symmetries of the heat transfer flow of a third-grade fluid. This approach allows one to reduce the coupled partial differential equations governing the problem, to a system of nonlinear ordinary differential equations. Point symmetries of such systems are used to construct some classes of solutions.
By using travelling wave solutions, we studied the influence of third-grade fluid parameters on the flow.
Share and Cite
ISRP Style
T. Amtout, M. Er-Riani, M. El Jarroudi, A. Lahrouz, Lie group method for unsteady heat flow of a third-grade fluid between two parallel heated plates, Journal of Mathematics and Computer Science, 30 (2023), no. 3, 290--301
AMA Style
Amtout T., Er-Riani M., Jarroudi M. El, Lahrouz A., Lie group method for unsteady heat flow of a third-grade fluid between two parallel heated plates. J Math Comput SCI-JM. (2023); 30(3):290--301
Chicago/Turabian Style
Amtout, T., Er-Riani, M., Jarroudi, M. El, Lahrouz, A.. "Lie group method for unsteady heat flow of a third-grade fluid between two parallel heated plates." Journal of Mathematics and Computer Science, 30, no. 3 (2023): 290--301
Keywords
- Lie group method
- optimal system
- third-grade fluid
- similarity reduction
MSC
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