The exact analytical solution for the gas lubricated bearing in the slip and continuum flow regime
Апстракт
The exact analytical solution for the compressible two-dimensional gas flow in the microbearing is presented. The general slip-corrected Reynolds lubrication equation is derived and it is shown that it possesses an exact analytical solution. It is obtained by a suitable transformation of the independent variable, and it provides the pressure distribution in the bearing as well as the mass flow rate through it. By neglecting the rarefaction effect, this solution is also applicable to the continuum gas flow in the bearing, which also does not exist in the open literature. The obtained analytical solution can be usefully applied for testing the other, experimental or numerical results.
Кључне речи:
second order slip velocity / Reynolds lubrication equation / microbearing / analytical solutionИзвор:
Publications De L Institut Mathematique-Beograd, 2012, 91, 105, 83-93Издавач:
- Srpska akademija nauka i umetnosti SANU - Matematički institut, Beograd
Финансирање / пројекти:
- Напредне аналитичке, нумеричке и методе анализе примењене механике флуида и комплексних система (RS-MESTD-Basic Research (BR or ON)-174014)
DOI: 10.2298/PIM1205083S
ISSN: 0350-1302
WoS: 000306805500006
Scopus: 2-s2.0-84863552368
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Stevanović, Nevena AU - Đorđević, Vladan D. PY - 2012 UR - https://machinery.mas.bg.ac.rs/handle/123456789/1442 AB - The exact analytical solution for the compressible two-dimensional gas flow in the microbearing is presented. The general slip-corrected Reynolds lubrication equation is derived and it is shown that it possesses an exact analytical solution. It is obtained by a suitable transformation of the independent variable, and it provides the pressure distribution in the bearing as well as the mass flow rate through it. By neglecting the rarefaction effect, this solution is also applicable to the continuum gas flow in the bearing, which also does not exist in the open literature. The obtained analytical solution can be usefully applied for testing the other, experimental or numerical results. PB - Srpska akademija nauka i umetnosti SANU - Matematički institut, Beograd T2 - Publications De L Institut Mathematique-Beograd T1 - The exact analytical solution for the gas lubricated bearing in the slip and continuum flow regime EP - 93 IS - 105 SP - 83 VL - 91 DO - 10.2298/PIM1205083S ER -
@article{ author = "Stevanović, Nevena and Đorđević, Vladan D.", year = "2012", abstract = "The exact analytical solution for the compressible two-dimensional gas flow in the microbearing is presented. The general slip-corrected Reynolds lubrication equation is derived and it is shown that it possesses an exact analytical solution. It is obtained by a suitable transformation of the independent variable, and it provides the pressure distribution in the bearing as well as the mass flow rate through it. By neglecting the rarefaction effect, this solution is also applicable to the continuum gas flow in the bearing, which also does not exist in the open literature. The obtained analytical solution can be usefully applied for testing the other, experimental or numerical results.", publisher = "Srpska akademija nauka i umetnosti SANU - Matematički institut, Beograd", journal = "Publications De L Institut Mathematique-Beograd", title = "The exact analytical solution for the gas lubricated bearing in the slip and continuum flow regime", pages = "93-83", number = "105", volume = "91", doi = "10.2298/PIM1205083S" }
Stevanović, N.,& Đorđević, V. D.. (2012). The exact analytical solution for the gas lubricated bearing in the slip and continuum flow regime. in Publications De L Institut Mathematique-Beograd Srpska akademija nauka i umetnosti SANU - Matematički institut, Beograd., 91(105), 83-93. https://doi.org/10.2298/PIM1205083S
Stevanović N, Đorđević VD. The exact analytical solution for the gas lubricated bearing in the slip and continuum flow regime. in Publications De L Institut Mathematique-Beograd. 2012;91(105):83-93. doi:10.2298/PIM1205083S .
Stevanović, Nevena, Đorđević, Vladan D., "The exact analytical solution for the gas lubricated bearing in the slip and continuum flow regime" in Publications De L Institut Mathematique-Beograd, 91, no. 105 (2012):83-93, https://doi.org/10.2298/PIM1205083S . .