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Volume 90-91 (1989)

CONTENTS

Chronicle

Report I (ENG)

Report II (ENG)

1989, Zeszyt 90-91

Comparison of Mathematical Models of Cavitation Erosion [GER]
JAROMIR NOSKIEVIC

Abstract

The mathematical model of cavitation erosion, developed previously by the author, have been compared in this contribution. According to the two-parameter model the dynamics of cavitation erosion can be described by the differential equation (4). Its solution is given by equations (3) with dimensionless parameter (2).  A simpler mathematicdl model is described by the dilferential equation (4), its solution being given by the expression (5). The comparison of the mathematical models yields equations (12÷ 14) and allows  to determine the erosion intensiities I  and Ito (equatiorns (17 ÷19)). The calculation of the values of  I  and Ias well as those  of α and β parameters in two-parameter model requires estimation of the t0 and vs quantities. This estimation is based on the mass loss curves (Fig. 1). Using the regression techique the test results obtained can be linked to the mechanical properties of the materials tested, including the modulus of elasticity E, yield point or tension at 0.2% elongation Rp0.2, ultimate resiliance R tenisle strength Rm, hardness after Vickers Rv.  The relationships (2I), (22) and (23) derived from such analysis are shown at the end of the paper.

Keywords:

cavitation erosion, two-parameter model, yield equations, mass loss curves

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