Further study of phantom solutions to the ?TSD-Euler? equation

Autor:	Steven C. Caruso, David Nixon, Mohammad Farshchi
Rok vydání:	1991
Předmět:	Mechanical Engineering Mathematical analysis Mathematics::Analysis of PDEs Computational Mechanics Vorticity Imaging phantom Euler equations Physics::Fluid Dynamics Nonlinear system symbols.namesake Fluid dynamics symbols Potential flow Uniqueness Transonic Mathematics
Zdroj:	Acta Mechanica. 86:15-29
ISSN:	1619-6937 0001-5970
DOI:	10.1007/bf01175946
Popis:	It is known that the nonlinear Navier-Stokes equations will model most fluid flow of aeronautical interest. The existence and uniqueness of the solutions to the Navier-Stokes equations have not been proven although it is known that in certain cases only the most stable solution is obtained. This present work is concerned with identifying multiple solutions of the Navier-Stokes equations for transonic flow. The objective is to exploit the existence of these solutions rather than avoid them as has been the custom in the past. The present work has shown that the cause of multiple solutions in potential flow is a bifurcation of solutions at a specific Mach number distribution; airfoils could be designed to give such a distribution. It is also found that the presence of entropy and vorticity does not affect the occurrence of phantom solutions. A physical example of a phantom solution is explained by a study of the potential phantom solutions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::661ce4dceeaaf3969f63fecb3e45e60d https://doi.org/10.1007/bf01175946 Zobrazit plný text záznamu Full text from SpringerLink