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.


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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


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