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JOURNALS // News of the Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences // Archive

News of the Kabardin-Balkar scientific center of RAS, 2006 Issue 2, Pages 37–49 (Mi izkab763)

MATHEMATICAL MODELING

Analytical method of calculation of the maximal pressure and corresponding charges of liquid in pipeline systems at hydroimpacts with structure of waves resembling steps (leaps)

E. A. Karakulin

Institute of Computer Science and Problems of Regional Management KBSC RAS, Nal'chik

Abstract: The exact, simple and effective analytical method of calculation of the maximal pressure (and appropriate charges) of the liquid in a pipeline system of any real degree of complexity during propagation of the shock waves of the hydraulic impact with profiles described as steps or leaps when superposition of such waves is absent is developed. This method does not require development of a complex mathematical model and computer program for each pipeline system (hardware). The same simple systems of the equations and computer programs are applied always in this method. It allows, in comparison with a numerical method, to reduce expenses of time and expenditure of labor to perform these calculations tens of times.

Keywords: mathematical model, pipeline system, analytical method

UDC: 532.595.2;532.542



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