Liquid drop impact on solid surface with application to water drop erosion on turbine blades, Part I: Nonlinear wave model and solution of one-dimensional impact

Na LI, Qulan ZHOU, Xi CHEN, Tongmo XU, Shien HUI, Di ZHANG

Research output: Journal PublicationsJournal Article (refereed)peer-review

52 Citations (Scopus)

Abstract

Water drop erosion is regarded as one of the most serious reliability concerns in the wet steam stage of a steam turbine. The most challenging aspect of this problem involves the fundamental solution of the transient pressure field in the liquid drop and stress field in the metal substrate, which are coupled with each other. We solve the fundamental problem of high-speed liquid-solid impact both analytically and numerically. In Part I of this paper, the governing equations based on a nonlinear wave model for liquid are derived. Analytical and approximate solutions of one-dimensional liquid-solid impact are given for both linear and nonlinear models, which provide critical insights into the water drop erosion problem. Both continuous and pulsant impacts on rigid and elastic substrates are analyzed in detail. During continuous impact, the maximum impact pressure is always higher than the water hammer pressure. Upon pulsant impact and at a particular instant related with the impact duration, the maximum tensile stress appears at a certain depth below the solid surface, which can be readily related with the erosion rate. In Part II of this paper, two-dimensional (axisymmetric) liquid-solid impact is solved numerically, from which the most dangerous impact load/duration time and the most likely crack positions are deduced. Based on our recent solution of the water drop impact statistics (associated with the fluid flow in the blade channel), a comprehensive numerical study of the water drop erosion (fatigue) on a turbine blade is carried out. © 2008 Elsevier Ltd. All rights reserved.
Original languageEnglish
Pages (from-to)1526-1542
Number of pages17
JournalInternational Journal of Mechanical Sciences
Volume50
Issue number10-11
Early online date13 Aug 2008
DOIs
Publication statusPublished - Oct 2008
Externally publishedYes

Bibliographical note

The work is supported in part by the National Basic Research Program of China (2005CB221206), the National Natural Science Foundation of China (50276051), US National Science Foundation CMS-0407743 and CAREER-CMMI-0643726, and in part by the Department of Civil Engineering and Engineering Mechanics, Columbia University.

Keywords

  • Impact pressure
  • Impact stress
  • Liquid-solid impact
  • Numerical simulation
  • Water drop erosion

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