Analysis of (3+1)-dimensional unsteady gas flow using optimal system of Lie symmetries

A.S. Rashed

Mathematics and Computers in Simulation (MATCOM), 2019, vol. 156, issue C, 327-346

Abstract: Unsteady gas flow in (3+1)-dimensions is studied and analyzed here using an optimal system of Lie symmetry vectors. The governing equations admit thirteen Lie dimensions space. An optimal system of linear combinations of these vectors was formulated to determine the most suitable combinations for solving the governing equations. Unique, double, triple and quadruple combinations were used here to detect analytical solutions. Adiabatic index effect on the attained velocity, density and pressure profiles was also studied. Analysis of the results showed that the velocity profile components increase throughout increasing a distinct spatial variable and throughout the increment of adiabatic index. For density and pressure distributions, analysis of some obtained cases leads to that both of them decrease throughout increment in spatial variable or adiabatic index as long as the solution is non-singular. In case of singular solutions at zero, a reverse result was obtained.

Keywords: Lie optimal system; Gas dynamics; Adiabatic index (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475418302064
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:156:y:2019:i:c:p:327-346

DOI: 10.1016/j.matcom.2018.08.008

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().