Title: Lie group analysis for heat transfer in flow of second grade fluid

Authors: T. Amtout; H. Biyadi; M. Er-Riani; M. El Jarroudi

Addresses: Faculty of Sciences and Techniques, Department of Mathematics, LMA, BP 416, ancienne route de l'aéroport, km 10 Ziaten, 90000, Tangier, Morocco ' Faculty of Sciences and Techniques, Department of Mathematics, LMA, BP 416, ancienne route de l'aéroport, km 10 Ziaten, 90000, Tangier, Morocco ' Faculty of Sciences and Techniques, Department of Mathematics, LMA, BP 416, ancienne route de l'aéroport, km 10 Ziaten, 90000, Tangier, Morocco ' Faculty of Sciences and Techniques, Department of Mathematics, LMA, BP 416, ancienne route de l'aéroport, km 10 Ziaten, 90000, Tangier, Morocco

Abstract: In this paper, the Lie symmetry analysis is performed for the heat transfer flow of a second grade fluid between two parallel heated plates. The symmetries for the coupled equations are given. The exact solutions and similarity reductions generated from the symmetry transformations are provided. Furthermore, translational symmetries were utilised to find a family of travelling wave solutions of the governing nonlinear problem.

Keywords: Lie group analysis; second grade fluid; heat transfer flow; similarity reduction; travelling wave solutions.

DOI: 10.1504/IJDSDE.2019.100564

International Journal of Dynamical Systems and Differential Equations, 2019 Vol.9 No.2, pp.164 - 175

Received: 06 Mar 2017
Accepted: 15 Dec 2017
Published online: 04 Jul 2019 *

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