Solution of a linear model of a single-piston pump by means of methods for differential equations in Hilbert spaces
Ivan Straškraba (1986)
Aplikace matematiky
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A mathematical model of a fluid flow in a single-piston pump is formulated and solved. Variation of pressure and rate of flow in suction and delivery piping respectively is described by linearized Euler equations for barotropic fluid. A new phenomenon is introduced by a boundary condition with discontinuous coefficient describing function of a valve. The system of Euler equations is converted to a second order equation in the space where is length of the pipe. The existence, unicity...