The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON FLUID MECHANICS
Transactions ID Number: 53-716
Full Name: Tsutomu Kambe
Position: Professor
Age: ON
Sex: Male
Address: Higashi-yama 2-11-3, Meguro-ku, Tokyo, 153-0043
Country: JAPAN
Tel: +81-3-3792-2904
Tel prefix:
Fax: +81-3-3792-2904
E-mail address: kambe@ruby.dti.ne.jp
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Title of the Paper: A new solution of Euler's equation of motion with explicit expression of helicity
Authors as they appear in the Paper: Tsutomu Kambe
Email addresses of all the authors: kambe@ruby.dti.ne.jp
Number of paper pages: 12
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.
Keywords: Ideal fluid, New solution, Variational formulation, Helicity.
EXTENSION of the file: .pdf
Special (Invited) Session: Mathematical Fluid Dynamics
Organizer of the Session: Professor F.-K. Benra
How Did you learn about congress: Theory, Euler's equation, Variational formulation, Rotational flows, Mathematical physics
IP ADDRESS: 113.159.12.174
