A high order theory for an isothermal rarefied gas flow in micro channels
Апстракт
Gas flows take place in a number of micro-electro-mechanical systems (MEMS). Since the dimensions of the MEMS are within μm range, it is necessary to take into account the gas rarefaction effects in investigations of these flows. This paper presents the solution and analysis of isothermal compressible gas flow through micro channels with slow varying cross section under low Mach number conditions. The problem is solved by the introduction of the small parameter μm that presents the square of the Mach and Reynolds numbers ratio. Small parameter ε is used in a regular perturbation analysis of the problem. The exact dependence among Mach, Reynolds and Knudsen number is utilized, which leads to accurate prediction of the influence of the inertia forces and the slip boundary conditions.
Кључне речи:
Rarefied gas flow / Micro channels / Analytical solutionИзвор:
Proceedings of the ASME/JSME Joint Fluids Engineering Conference, 2003, 1 C, 1769-1776Издавач:
- American Society of Mechanical Engineers
Колекције
Институција/група
Mašinski fakultetTY - CONF AU - Stevanović, Nevena PY - 2003 UR - https://machinery.mas.bg.ac.rs/handle/123456789/334 AB - Gas flows take place in a number of micro-electro-mechanical systems (MEMS). Since the dimensions of the MEMS are within μm range, it is necessary to take into account the gas rarefaction effects in investigations of these flows. This paper presents the solution and analysis of isothermal compressible gas flow through micro channels with slow varying cross section under low Mach number conditions. The problem is solved by the introduction of the small parameter μm that presents the square of the Mach and Reynolds numbers ratio. Small parameter ε is used in a regular perturbation analysis of the problem. The exact dependence among Mach, Reynolds and Knudsen number is utilized, which leads to accurate prediction of the influence of the inertia forces and the slip boundary conditions. PB - American Society of Mechanical Engineers C3 - Proceedings of the ASME/JSME Joint Fluids Engineering Conference T1 - A high order theory for an isothermal rarefied gas flow in micro channels EP - 1776 SP - 1769 VL - 1 C DO - 10.1115/fedsm2003-45637 ER -
@conference{ author = "Stevanović, Nevena", year = "2003", abstract = "Gas flows take place in a number of micro-electro-mechanical systems (MEMS). Since the dimensions of the MEMS are within μm range, it is necessary to take into account the gas rarefaction effects in investigations of these flows. This paper presents the solution and analysis of isothermal compressible gas flow through micro channels with slow varying cross section under low Mach number conditions. The problem is solved by the introduction of the small parameter μm that presents the square of the Mach and Reynolds numbers ratio. Small parameter ε is used in a regular perturbation analysis of the problem. The exact dependence among Mach, Reynolds and Knudsen number is utilized, which leads to accurate prediction of the influence of the inertia forces and the slip boundary conditions.", publisher = "American Society of Mechanical Engineers", journal = "Proceedings of the ASME/JSME Joint Fluids Engineering Conference", title = "A high order theory for an isothermal rarefied gas flow in micro channels", pages = "1776-1769", volume = "1 C", doi = "10.1115/fedsm2003-45637" }
Stevanović, N.. (2003). A high order theory for an isothermal rarefied gas flow in micro channels. in Proceedings of the ASME/JSME Joint Fluids Engineering Conference American Society of Mechanical Engineers., 1 C, 1769-1776. https://doi.org/10.1115/fedsm2003-45637
Stevanović N. A high order theory for an isothermal rarefied gas flow in micro channels. in Proceedings of the ASME/JSME Joint Fluids Engineering Conference. 2003;1 C:1769-1776. doi:10.1115/fedsm2003-45637 .
Stevanović, Nevena, "A high order theory for an isothermal rarefied gas flow in micro channels" in Proceedings of the ASME/JSME Joint Fluids Engineering Conference, 1 C (2003):1769-1776, https://doi.org/10.1115/fedsm2003-45637 . .