Displaying similar documents to “Solution of a mathematical model of a single piston pump with a more detailed description of the valve function”

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 L 2 ( 0 , l ) where l is length of the pipe. The existence, unicity...