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...

Mathematical study of rotational incompressible non-viscous flows through multiply connected domains

Miloslav Feistauer (1981)

Aplikace matematiky

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The paper is devoted to the study of the boundary value problem for an elliptic quasilinear second-order partial differential equation in a multiply connected, bounded plane domain under the assumption that the Dirichlet boundary value conditions on the separate components of the boundary are given up to additive constants. These constants together with the solution of the equation considered are to be determined so as to fulfil the so called trainling conditions. The results have immediate...

On irrotational flows through cascades of profiles in a layer of variable thickness

Miloslav Feistauer (1984)

Aplikace matematiky

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The paper is devoted to the study of solvability of boundary value problems for the stream function, describing non-viscous, irrotional, subsonic flowes through cascades of profiles in a layer of variable thickness. From the definition of a classical solution the variational formulation is derive and the concept of a weak solution is introduced. The proof of the existence and uniqueness of the weak solution is based on the monotone operator theory.