Analytical solution of gas lubricated slider microbearing
Само за регистроване кориснике
2009
Чланак у часопису (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
The analytical solution of a two-dimensional, isothermal, compressible gas flow in a slider microbearing is presented. A higher order accuracy of the solution is achieved by applying the boundary condition of Kn (2) order for the velocity slip on the wall, together with the momentum equation of the same order (known as the Burnett equation). The analytical solution is obtained by the perturbation analysis. The order of all terms in continuum and momentum equations and in boundary conditions is evaluated by incorporating the exact relation between the Mach, Reynolds and Knudsen numbers in the modelling procedure. Low Mach number flows in microbearing with slowly varying cross-sections are considered, and it is shown that under these conditions the Burnett equation has the same form as the Navier-Stokes equation. Obtained analytical results for pressure distribution, load capacity and velocity field are compared with numerical solutions of the Boltzmann equation and some semi-analytical ...results, and excellent agreement is achieved. The model presented in this paper is a useful tool for the prediction of flow conditions in the microbearings. Also, its results are the benchmark test for the verifications of various numerical procedures.
Кључне речи:
Slip flow / Slider microbearing / Low Mach number / Analytical solutionИзвор:
Microfluidics and Nanofluidics, 2009, 7, 1, 97-105Издавач:
- Springer Heidelberg, Heidelberg
DOI: 10.1007/s10404-008-0367-4
ISSN: 1613-4982
WoS: 000267108400007
Scopus: 2-s2.0-67649403305
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Stevanović, Nevena PY - 2009 UR - https://machinery.mas.bg.ac.rs/handle/123456789/981 AB - The analytical solution of a two-dimensional, isothermal, compressible gas flow in a slider microbearing is presented. A higher order accuracy of the solution is achieved by applying the boundary condition of Kn (2) order for the velocity slip on the wall, together with the momentum equation of the same order (known as the Burnett equation). The analytical solution is obtained by the perturbation analysis. The order of all terms in continuum and momentum equations and in boundary conditions is evaluated by incorporating the exact relation between the Mach, Reynolds and Knudsen numbers in the modelling procedure. Low Mach number flows in microbearing with slowly varying cross-sections are considered, and it is shown that under these conditions the Burnett equation has the same form as the Navier-Stokes equation. Obtained analytical results for pressure distribution, load capacity and velocity field are compared with numerical solutions of the Boltzmann equation and some semi-analytical results, and excellent agreement is achieved. The model presented in this paper is a useful tool for the prediction of flow conditions in the microbearings. Also, its results are the benchmark test for the verifications of various numerical procedures. PB - Springer Heidelberg, Heidelberg T2 - Microfluidics and Nanofluidics T1 - Analytical solution of gas lubricated slider microbearing EP - 105 IS - 1 SP - 97 VL - 7 DO - 10.1007/s10404-008-0367-4 ER -
@article{ author = "Stevanović, Nevena", year = "2009", abstract = "The analytical solution of a two-dimensional, isothermal, compressible gas flow in a slider microbearing is presented. A higher order accuracy of the solution is achieved by applying the boundary condition of Kn (2) order for the velocity slip on the wall, together with the momentum equation of the same order (known as the Burnett equation). The analytical solution is obtained by the perturbation analysis. The order of all terms in continuum and momentum equations and in boundary conditions is evaluated by incorporating the exact relation between the Mach, Reynolds and Knudsen numbers in the modelling procedure. Low Mach number flows in microbearing with slowly varying cross-sections are considered, and it is shown that under these conditions the Burnett equation has the same form as the Navier-Stokes equation. Obtained analytical results for pressure distribution, load capacity and velocity field are compared with numerical solutions of the Boltzmann equation and some semi-analytical results, and excellent agreement is achieved. The model presented in this paper is a useful tool for the prediction of flow conditions in the microbearings. Also, its results are the benchmark test for the verifications of various numerical procedures.", publisher = "Springer Heidelberg, Heidelberg", journal = "Microfluidics and Nanofluidics", title = "Analytical solution of gas lubricated slider microbearing", pages = "105-97", number = "1", volume = "7", doi = "10.1007/s10404-008-0367-4" }
Stevanović, N.. (2009). Analytical solution of gas lubricated slider microbearing. in Microfluidics and Nanofluidics Springer Heidelberg, Heidelberg., 7(1), 97-105. https://doi.org/10.1007/s10404-008-0367-4
Stevanović N. Analytical solution of gas lubricated slider microbearing. in Microfluidics and Nanofluidics. 2009;7(1):97-105. doi:10.1007/s10404-008-0367-4 .
Stevanović, Nevena, "Analytical solution of gas lubricated slider microbearing" in Microfluidics and Nanofluidics, 7, no. 1 (2009):97-105, https://doi.org/10.1007/s10404-008-0367-4 . .