Physics – General Physics
Scientific paper
2003-03-17
Int. Journ. Math. Math. Sci. v.2004., no. 11, 21 Feb. 2004, pp. 541-570
Physics
General Physics
31 pages, 0 figures, The paper is reduced. Consideration of nonstationary flow has been removed
Scientific paper
Hydrodynamic equations for ideal incompressible fluid are written in terms of generalized stream function. Two-dimensional version of these equations is transformed to the form of one dynamic equation for the stream function. This equation contains arbitrary function which is determined by inflow conditions given on the boundary. To determine unique solution, velocity and vorticity (but not only velocity itself) must be given on the boundary. This unexpected circumstance may be interpreted in the sense that the fluid has more degrees of freedom, than it was believed. Besides, the vorticity is less observable quantity as compared with the velocity. It is shown that the Clebsch potentials are used essentially at the description of vortical flow.
No associations
LandOfFree
Hydrodynamic equations for incompressible inviscid fluid in terms of generalized stream function does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Hydrodynamic equations for incompressible inviscid fluid in terms of generalized stream function, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hydrodynamic equations for incompressible inviscid fluid in terms of generalized stream function will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-588228