An analysis of the Different Parameters influence on the Microbearing load carrying capacity
Само за регистроване кориснике
2014
Конференцијски прилог (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
An analytical solution for the two-dimensional non-isothermal compressible gas flow in a slider micro-bearing is presented in this paper. It is shear-driven subsonic slip gas flow. In view of the fact that a fluid flow in a micro system is rarefied, the model takes into account this influence. The slip gas flow is defined by the continuity, Navier-Stokes and energy continuum equations, along with the velocity slip and the temperature jump Maxwell-Smoluchowski first order boundary conditions. Knudsen number is in the range of 0-10-1, which corresponds to the continuum and slip gas flow. The analytical solutions of the pressure, velocity and temperature are obtained. The results are of the order of Navier-Stokes equations, i.e., O(Kn) and they agree well with those found in the open literature.
The solutions enable analysis of the relevant parameters influences on the load carrying capacity of the micro-bearing. Hence, the influences of the flow conditions expressed by Mach, Reynolds an...d Knudsen numbers, the ratio of the inlet to outlet heights, bearing number, as well as temperature field are investigated. Moreover, obtained analytical solutions comprise second order effects for gas flows in micro-systems such as inertia and dissipation which enabled the assessment of their impact on the load carrying capacity of the micro-bearing, i.e. estimation of the calculations safety when these effects are neglected.
Кључне речи:
microbearing / non-isothermal / slip flow / analytical solution / rarefied / compressible / load carrying capacityИзвор:
85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 2014, 451-451Издавач:
- International Association for Applied Mathematics and Mechanics, Nemačka
URI
https://enauka.gov.rs/handle/123456789/305842https://machinery.mas.bg.ac.rs/handle/123456789/6066
Колекције
Институција/група
Mašinski fakultetTY - CONF AU - Stevanović, Nevena AU - Milićev, Snežana PY - 2014 UR - https://enauka.gov.rs/handle/123456789/305842 UR - https://machinery.mas.bg.ac.rs/handle/123456789/6066 AB - An analytical solution for the two-dimensional non-isothermal compressible gas flow in a slider micro-bearing is presented in this paper. It is shear-driven subsonic slip gas flow. In view of the fact that a fluid flow in a micro system is rarefied, the model takes into account this influence. The slip gas flow is defined by the continuity, Navier-Stokes and energy continuum equations, along with the velocity slip and the temperature jump Maxwell-Smoluchowski first order boundary conditions. Knudsen number is in the range of 0-10-1, which corresponds to the continuum and slip gas flow. The analytical solutions of the pressure, velocity and temperature are obtained. The results are of the order of Navier-Stokes equations, i.e., O(Kn) and they agree well with those found in the open literature. The solutions enable analysis of the relevant parameters influences on the load carrying capacity of the micro-bearing. Hence, the influences of the flow conditions expressed by Mach, Reynolds and Knudsen numbers, the ratio of the inlet to outlet heights, bearing number, as well as temperature field are investigated. Moreover, obtained analytical solutions comprise second order effects for gas flows in micro-systems such as inertia and dissipation which enabled the assessment of their impact on the load carrying capacity of the micro-bearing, i.e. estimation of the calculations safety when these effects are neglected. PB - International Association for Applied Mathematics and Mechanics, Nemačka C3 - 85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) T1 - An analysis of the Different Parameters influence on the Microbearing load carrying capacity EP - 451 SP - 451 UR - https://hdl.handle.net/21.15107/rcub_machinery_6066 ER -
@conference{ author = "Stevanović, Nevena and Milićev, Snežana", year = "2014", abstract = "An analytical solution for the two-dimensional non-isothermal compressible gas flow in a slider micro-bearing is presented in this paper. It is shear-driven subsonic slip gas flow. In view of the fact that a fluid flow in a micro system is rarefied, the model takes into account this influence. The slip gas flow is defined by the continuity, Navier-Stokes and energy continuum equations, along with the velocity slip and the temperature jump Maxwell-Smoluchowski first order boundary conditions. Knudsen number is in the range of 0-10-1, which corresponds to the continuum and slip gas flow. The analytical solutions of the pressure, velocity and temperature are obtained. The results are of the order of Navier-Stokes equations, i.e., O(Kn) and they agree well with those found in the open literature. The solutions enable analysis of the relevant parameters influences on the load carrying capacity of the micro-bearing. Hence, the influences of the flow conditions expressed by Mach, Reynolds and Knudsen numbers, the ratio of the inlet to outlet heights, bearing number, as well as temperature field are investigated. Moreover, obtained analytical solutions comprise second order effects for gas flows in micro-systems such as inertia and dissipation which enabled the assessment of their impact on the load carrying capacity of the micro-bearing, i.e. estimation of the calculations safety when these effects are neglected.", publisher = "International Association for Applied Mathematics and Mechanics, Nemačka", journal = "85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)", title = "An analysis of the Different Parameters influence on the Microbearing load carrying capacity", pages = "451-451", url = "https://hdl.handle.net/21.15107/rcub_machinery_6066" }
Stevanović, N.,& Milićev, S.. (2014). An analysis of the Different Parameters influence on the Microbearing load carrying capacity. in 85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) International Association for Applied Mathematics and Mechanics, Nemačka., 451-451. https://hdl.handle.net/21.15107/rcub_machinery_6066
Stevanović N, Milićev S. An analysis of the Different Parameters influence on the Microbearing load carrying capacity. in 85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM). 2014;:451-451. https://hdl.handle.net/21.15107/rcub_machinery_6066 .
Stevanović, Nevena, Milićev, Snežana, "An analysis of the Different Parameters influence on the Microbearing load carrying capacity" in 85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) (2014):451-451, https://hdl.handle.net/21.15107/rcub_machinery_6066 .