Vortex Scattering of Monatomic Gas Along Plane Curves
R. F. Shayakhmetova
Institute of Mechanics of Ufa Federal Research Center, Russian Academy of Sciences, Ufa, 450054, Russia
Keywords: газовая динамика, инвариантное решение, проективный оператор, уравнение Абеля, gas dynamics, invariant solution, projective operator, Abel equation
Abstract
An invariant submodel of gas dynamics equations constructed on a three-dimensional subalgebra with a projective operator for the case of monatomic gas is under consideration. The submodel is reduced to an Abel equation, with integral curves constructed for it. For a separatrix of a saddle, an approximate solution is studied. Such solutions describe the vortex scattering of gas along plane curves placed on the surface of revolution.
|
