Tsutomu Kambe, "A New Solution of Euler’s Equation of Motion with Explicit Expression of Helicity," WSEAS Transactions on Fluid Mechanics, vol. 7, pp. -, 2012, DOI:
Tsutomu Kambe. A New Solution of Euler’s Equation of Motion with Explicit Expression of Helicity.
WSEAS Transactions on Fluid Mechanics. 2012;7:-.
WSEAS Transactions on Fluid Mechanics
Print ISSN: 1790-5087, E-ISSN: 2224-347X
Volume 7, 2012
A New Solution of Euler’s Equation of Motion with Explicit Expression of Helicity
Author:
Abstract: Improving the variational formulation for an ideal compressible fluid, a new expression of velocity field is presented by using vector potentials of frozen field, i.e. the potentials convected by the fluid flow under effect of stretching. This has been deduced from the action principle. It is verified that the system of new expressions in fact satisfies the Euler’s equation of motion. The Lagrangian consists of main terms of total kinetic energy and internal energy, together with two terms yielding the equations of continuity and entropy and the third term which provides rotational component of velocity field. The last term leads to an explicit expression of non-vanishing helicity.
Pages: - WSEAS Transactions on Fluid Mechanics, ISSN / E-ISSN: 1790-5087 / 2224-347X, Volume 7, 2012DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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