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method). The functional diagrams allow obtaining <strong>the</strong> graphical<br />

representation <strong>of</strong> <strong>the</strong> level <strong>of</strong> <strong>the</strong> liquid from <strong>the</strong> reservoir during <strong>the</strong><br />

time <strong>of</strong> <strong>the</strong> emptying process but also <strong>the</strong> graphical representation <strong>of</strong><br />

<strong>the</strong> flow rate <strong>of</strong> <strong>the</strong> liquid through <strong>the</strong> orifice. Using <strong>the</strong> measured<br />

values <strong>of</strong> flow rate, <strong>the</strong> velocity and <strong>the</strong> Reynolds number can be<br />

calculated. A comparative analysis <strong>of</strong> <strong>the</strong> numerical results for <strong>the</strong><br />

emptying time for constant head and for variable head reservoirs,<br />

obtained with <strong>the</strong> analytical and <strong>the</strong> functional diagram methods<br />

will be presented.<br />

Key words: constant cross-sectional area reservoir, emptying<br />

time, emptying orifice, functional diagram, MATLAB.<br />

FUNCTIONAL DIAGRAMS FOR MODELING THE RESERVOIR<br />

EMPTYING PROCESS THROUGH AN EMPTYING PIPE<br />

by<br />

DĂNUŢ ZAHARIEA<br />

Abstract. In this paper <strong>the</strong> emptying process <strong>of</strong> constant head<br />

and variable head reservoirs with constant cross-sectional area<br />

through an emptying pipe will be investigated. The pressure at <strong>the</strong><br />

water surface and also <strong>the</strong> velocity <strong>of</strong> this surface, as well as <strong>the</strong><br />

head loss due to friction along <strong>the</strong> emptying pipe will be considered.<br />

Two methods will be presented: <strong>the</strong> analytical method based on <strong>the</strong><br />

fundamental equations governing <strong>the</strong> reservoir emptying process<br />

and <strong>the</strong> functional diagrams method based on MATLAB/Simscape<br />

computational approach suited to analyze <strong>the</strong> real physical systems.<br />

A comparative analysis <strong>of</strong> <strong>the</strong> numerical results for <strong>the</strong> emptying<br />

time for constant head and for variable head reservoirs, obtained<br />

with <strong>the</strong> analytical and <strong>the</strong> functional diagram methods will be<br />

presented.<br />

Key words: constant cross-sectional area reservoir, emptying<br />

time, emptying pipe, functional diagram, MATLAB.<br />

A PLEADING FOR THE MODERNIZATION OF<br />

MACHINE TOOLS IN NATIONAL INDUSTRY<br />

by<br />

DAN POPESCU

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