THERMAL SCIENCE

International Scientific Journal

Chang-Na Lu

,

Sheng-Xiang Chang

,

Luo-Yan Xie

,

Zong-Guo Zhang

GENERATION AND SOLUTIONS TO THE TIME-SPACE FRACTIONAL COUPLED NAVIER-STOKES EQUATIONS

ABSTRACT
In this paper, a Lagrangian of the coupled Navier-Stokes equations is proposed based on the semi-inverse method. The fractional derivatives in the sense of Riemann-Liouville definition are used to replace the classical derivatives in the Lagrangian. Then the fractional Euler-Lagrange equation can be derived with the help of the fractional variational principles. The Agrawal's method is devot­ed to lead to the time-space fractional coupled Navier-Stokes equations from the above Euler-Lagrange equation. The solution of the time-space fractional coupled Navier-Stokes equations is obtained by means of RPS algorithm. The numerical results are presented by using exact solutions.
KEYWORDS
time-space fractional coupled Navier-Stokes equations, Agrawal’s method, Residual power series method, fractional derivatives
PAPER SUBMITTED: 2020-03-24
PAPER REVISED: 2020-05-18
PAPER ACCEPTED: 2020-05-28
PUBLISHED ONLINE: 2020-11-27
DOI REFERENCE: https://doi.org/10.2298/TSCI2006899L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2020, VOLUME 24, ISSUE Issue 6, PAGES [3899 - 3905]
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Generation and solutions to the time-space fractional coupled Navier-Stokes equations

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence