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Thermophysics and Aeromechanics

2005 year, number 4

Analytic-form solution of the equation for vortex motion of viscous gas in the ice cylinder

O.G. Kudelin and O.N. Lebedev
Novosibirsk State Academy of Waterborn Traffic, Novosibirsk, Russia
Pages: 571–576

Abstract

An analytic solution is found for a boundary-value problem of vortex motion of viscous gas in the cylinder of an internal combustion engine (ICE) with flat piston geometry at the compression stroke. An analytic solution has been determined for the angular velocity component in a cylindrical coordinate system with a refining polynomial, which reduces to a system of nonlinear algebraic equations after its substitution into the model equation, the initial and several boundary conditions. By virtue of the uniqueness of the solution of the boundary-value problem under study, the angular velocity component is found from the obtained values of the constants of the refining polynomial at a given point of the internal cylinder space. The obtained solution is compared with experimental data.