Universal weighting function in modeling transient cavitating pipe flow

• Autorzy: Urbanowicz K. , Zarzycki Z. , Kudźma S.

Warianty tytułu

PL

Uniwersalna funkcja wagi w modelowaniu niestacjonarnych przepływów z kawitacją występujących w przewodach ciśnieniowych

• Języki publikacji: EN

Abstrakty

EN

This work concerns modeling of time-varying resistance during transient cavitating liquid pipe flow. The wall shear stress is presented in the way introduced by Zielke as the integral convolution of liquid local velocity changes and a weighting function. A new procedure for determination, so-called, a universal laminar-turbulent weighting function, which combines functions of Zielke and Vardy and Brown or Zielke and Zarzycki, is presented. Based on these weighting functions, the method of simulation transients in the pressure lines in a wide range of Reynolds numbers is presented. It eliminates numerical problems associated with the change of laminar flow into turbulent and vice versa. An example application of this method for simulation of water hammer is presented. The calculation results are compared against experiments presented by Bergant and Simpson, and good agreement is found.

PL

Praca dotyczy modelowania zmiennych w czasie oporów podczas nieustalonego przepływu cieczy w przewodach ciśnieniowych. Naprężenie styczne na ściance przewodu przedstawione zostało w klasyczny sposób (wg. Zielke) jako całka splotowa z przyśpieszenia cieczy i pewnej funkcji wagowej. Przedstawiono procedury wyznaczania dwóch uniwersalnych funkcji wagowych laminarnoturbulentnych (wg. Zielke i Vardy-Browna oraz wg. Zielke i Zarzyckiego).W oparciu o te funkcje przedstawiono metodę modelowania (symulacji) przebiegów przejściowych w przewodach ciśnieniowych w szerokim zakresie liczb Reynoldsa. Eliminuje on problemy natury numerycznej związane z przechodzeniem min. z przepływu laminarnego w turbulentny i odwrotnie. Podano przykład zastosowania opracowanej metody do symulacji uderzenia hydraulicznego. Wyniki obliczeń porównano z wynikami eksperymentalnymi wg. Berganta i Simpsona, otrzymując dobrą zgodność.

Słowa kluczowe

EN

transient pipe flow; unsteady wall shear stress; weighting function; cavitation

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2012
• Tom: Vol. 50 nr 4
• Strony: 889--902
• Opis fizyczny: Bibliogr. 35 poz., rys., tab.

Twórcy

autor

Urbanowicz K.

autor

Zarzycki Z.

autor

Kudźma S.

• West Pomeranian University of Technology, Department of Mechanics and Machine Elements, Szczecin, Poland,

Bibliografia

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