A model of gas flow with friction in a slotted seal

• Autorzy: Joachimiak D. , Krzyślak P.

Identyfikatory

DOI

10.1515/aoter-2016-0022

• Języki publikacji: EN

Abstrakty

EN

The paper discusses thermodynamic phenomena accompanying the flow of gas in a slotted seal. The analysis of the gas flow has been described based on an irreversible adiabatic transformation. A model based on the equation of total enthalpy balance has been proposed. The iterative process of the model aims at obtaining such a gas temperature distribution that will fulfill the continuity equation. The model allows for dissipation of the kinetic energy into friction heat by making use of the Blasius equation to determine the friction coefficient. Within the works, experimental research has been performed of the gas flow in a slotted seal of slot height 2 mm. Based on the experimental data, the equation of local friction coefficient was modified with a correction parameter. This parameter was described with the function of pressure ratio to obtain a mass flow of the value from the experiment. The reason for taking up of this problem is the absence of high accuracy models for calculating the gas flow in slotted seals. The proposed model allows an accurate determination of the mass flow in a slotted seal based on the geometry and gas initial and final parameters.

Słowa kluczowe

EN

slotted seals; annular slot; friction coefficient; gas flow

PL

uszczelki szczelinowe; szczelina pierścieniowa; współczynnik tarcia; przepływ gazu

• Wydawca: Wydawnictwo Instytutu Maszyn Przepływowych PAN ; Komitet Termodynamiki i Spalania PAN
• Czasopismo: Archives of Thermodynamics
• Rocznik: 2016
• Tom: Vol. 37, no. 3
• Strony: 95--108
• Opis fizyczny: Bibliogr. 17 poz., rys., tab., wz.

Twórcy

autor

Joachimiak D.

• Poznan University of Technology, Chair of Thermal Engineering, Piotrowo 3, 60-965 Poznań, Poland

autor

Krzyślak P.

• Poznan University of Technology, Chair of Thermal Engineering, Piotrowo 3, 60-965 Poznań, Poland

Bibliografia

• [1] Childs D.W., J. K. Scharrer: An iwatsubo-based solution for labyrinth seals: comparison to experimental results. J. Eng. Gas Turb. Power 108(1986), 2, 325–331.
• [2] Grokhovskii D.V.: Rational construction on slotted seals for feed pumps. Chem. Petroleum Eng. 30(1994), 9–10.
• [3] Joachimiak D.: The labyrinth seals research with extraction. PhD thesis, Poznan University of Technology, Poznan 2013 (in Polish).
• [4] Joachimiak D., Krzyślak P.: Comparison of the calculation methods labyrinth seals and determination flow factor on the basis of experimental data, Machinery and equipment power. In: Proc. 3rd Technical and Scientific Conference (S. Łopata, Ed.), Cracow 2013, 105-114, (in Polish).
• [5] Joachimiak D., Krzyślak P.: Comparison of results of experimental research with numerical calculations of a model one-sided seal. Arch. Thermodyn. 36(2015), 2, 61–74.
• [6] Larjola J., Honkatukia J., Sallinen P., Backman J.: Fluid dynamic modeling of a free piston engine with labyrinth seals. Int. J. Therm. Sci. 19(2010), 2, 141–147.
• [7] Lin Z., Wang X., Yuan X., Shibukawa N., Noguchi T.: Investigation and improvement of the staggered labyrinth seal. Chin. J. Mech. Eng., 28(2015), 2, 402–408.
• [8] Mel’nik V.A.: Computed universal dependence for determining leakage of media through groove seals. Chem. Petroleum Eng. 48(2013), 11–12.
• [9] Mel’nik V.A.: Simplified method of calculating the operating characteristics of a face seal. Chem. Petroleum Eng. 39(2003), 9–10.
• [10] Mel’nik V.A.: Calculating leaks in rotor-machine radial slot seals. Part 1. Method based on calculated and empirical local pressure loss coefficients. Chem. Petroleum Eng. 45(2009), 9–10.
• [11] Mel’nik V.A.: Calculating leaks in rotor-machine radial slot seals. Part 2. A method for integral slot flow rate constants. Chem. Petroleum Eng. 45( 2009), 11–12.
• [12] Mel’nik V.A.: Calculating leaks in rotary machine radial slot seals. Part 3. Method for calculating leaks taking account of the inlet section. Chem. Petroleum Eng. 46(2010), 3–4.
• [13] Prosnak W.J.: Fluid Mechanics. PWN, Warsaw 1971 (in Polish).
• [14] Thiekle G., Stetter H.: Identification of friction factors for modeling the exciting forces caused by flow in labyrinth seals. Rotordynamics ’92 (J. Michael, Ed.), Springer-Verlag, London 1992.
• [15] Trütnovsky K.: Berührungsfreie Dichtungen, Grundlagen und Anwendungen der Strömung durch Spalte und Labyrinthe. VDI-Verlag bh Düsseldorf, Verlag des Vereins Deutscher Ingenieure 1964.
• [16] Wiśniewski S., Wiśniewski T.S.: Heat Transfer. WNT, Warsaw 2012 (in Polish).
• [17] Yamada Y.: On the pressure loss of flow between rotaring co-axial cylinders with rectangular grooves. Bull. JSME 5(1962), 20, 642–651.

Uwagi

EN

This work was carried out in the framework of the research project NN513 324 740, which was financed by NCN.

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.