Invariants and Conserved Quantities for the Helically Symmetric Flows of an Inviscid Gas and Fluid with Variable Density

Author:

Bogoyavlenskij Oleg1

Affiliation:

1. Department of Mathematics , Queen’s University , Kingston , Canada

Abstract

Abstract New material conservation laws and conserved quantities are derived for the helically symmetric flows of an inviscid compressible gas and an ideal incompressible fluid with variable density ρ ( x , t ) $\rho(\mathbf{x},\;t)$ .

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Reference20 articles.

1. H. Lamb, in: Hydrodynamics, Cambridge University Press, Cambridge 1879.

2. G. K. Batchelor, in: An Introduction to Fluid Dynamics, Cambridge University Press, Cambridge 1967.

3. H. K. Moffatt, Phil. Trans. R. Soc. Lond. A 333, 321 (1990).

4. W. M. Hicks, Phil. Trans. R. Soc. Lond. A 192, 33 (1899).

5. O. Kelbin, A. F. Cheviakov, and M. Oberlack, J. Fluid Mech. 721, 340 (2013).

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