SEPTEMBER 2010 (published: 30.09.2010)
Number 2(7)
Home > Issue > A new method to solve Derichlet’s boundary problem for a longitudinal flow of a thin solid of revolution by an ideal liquid
Kornienko L.N., Yakushenko E.I.
Derichlet’s boundary problem for axisymmetric longitudinal flow of a solid of rotation by an ideal liquid is analyzed. A necessary equation of liquid flow is derived for the solution. Its fundamental solution is found. Derichlet’s problem is reduced to Fredholm’s integral equation of the first type, the latter being solved.
Read the full article
Keywords: equation of an ideal liquid flow, fundamental solution, thin solid of revolution, longitudal flow, integral equation, Derichlet’s boundary problem, field of the coefficient of the hydrodynamic pressure.
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License
UDC 532.51
A new method to solve Derichlet’s boundary problem for a longitudinal flow of a thin solid of revolution by an ideal liquid
Derichlet’s boundary problem for axisymmetric longitudinal flow of a solid of rotation by an ideal liquid is analyzed. A necessary equation of liquid flow is derived for the solution. Its fundamental solution is found. Derichlet’s problem is reduced to Fredholm’s integral equation of the first type, the latter being solved.
Read the full article
Keywords: equation of an ideal liquid flow, fundamental solution, thin solid of revolution, longitudal flow, integral equation, Derichlet’s boundary problem, field of the coefficient of the hydrodynamic pressure.