ライブラリ登録: Guest
Begell Digital Portal Begellデジタルライブラリー 電子書籍 ジャーナル 参考文献と会報 リサーチ集
International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN 印刷: 2152-5102
ISSN オンライン: 2152-5110

巻:
巻 46, 2019 巻 45, 2018 巻 44, 2017 巻 43, 2016 巻 42, 2015 巻 41, 2014 巻 40, 2013 巻 39, 2012 巻 38, 2011 巻 37, 2010 巻 36, 2009 巻 35, 2008 巻 34, 2007 巻 33, 2006 巻 32, 2005 巻 31, 2004 巻 30, 2003 巻 29, 2002 巻 28, 2001 巻 27, 2000 巻 26, 1999 巻 25, 1998 巻 24, 1997 巻 23, 1996 巻 22, 1995

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v37.i4.60
pages 382-389

On Some Transformations and Approximations of Magnetohydrodynamic Equations

Igor T. Selezov
Institute of Hydromechanics of National Academy of Sciences of Ukraine, Zhelyabov St., 8/4, Kyiv, 03680, MSP, Ukraine

要約

Investigations related to some hidden symmetry properties of the system of differential equations of magnetohydrodynamics (MHD) are presented. The MHD-equations of a finite electrical conductivity characterized by the magnetic Reynolds number Rem are considered. Each model under consideration is characterized some hidden geometric and physical symmetry. As a result, it makes it possible to simplify the original model: decomposition, introduction of potentials or new variables, self-similarity et al. The MHD-system for magneto-isotropic compressible fluid under the action of a magnetic field is considered and nondi-mensionalized. It is shown that in the case of one-dimensional nonlinear motion the original system can be reduced to some simplified form. In the case of linearized equations the self-similarity analysis is applied allowing to obtain the system in which the value Rem is not involved explicitly. Approximations of a weak and high Rem are developed leading to hierarchy systems. The introduction of potentials leading to some cases of solvability is presented.


Articles with similar content:

Computer Simulation for Dynamics of Elastic Multi-link Space Robots-manipulators
Journal of Automation and Information Sciences, Vol.31, 1999, issue 7-9
Tatyana V. Zavrazhina
On the Relationship between Fluid Velocity and de Broglie's Wave Function and the Implications to the Navier - Stokes Equation
International Journal of Fluid Mechanics Research, Vol.29, 2002, issue 1
V. V. Kulish, Jose' L. Lage
Problem SDX as the Extreme Case of Combined Type Recognition Problems
Journal of Automation and Information Sciences, Vol.40, 2008, issue 4
Irina A. Borisova, Nikolay G. Zagoruiko
On Optimization Problems for Mixed Systems. Part I
Journal of Automation and Information Sciences, Vol.30, 1998, issue 2-3
D. E. Akbarov, Vasiliy V. Yasinskiy, Valeriy S. Melnik
DIFFERENTIAL CONSTRAINTS FOR THE PROBABILITY DENSITY FUNCTION OF STOCHASTIC SOLUTIONS TO THE WAVE EQUATION
International Journal for Uncertainty Quantification, Vol.2, 2012, issue 3
George Em Karniadakis, Daniele Venturi