Gas Flow in Microchannels and Nanochannels With Variable Cross Section for All Knudsen and All Mach Number Values
Апстракт
The analytical solution for steady viscous pressure-driven compressible isothermal gas flow through micro- and nanochannels with variable cross section for all Knudsen and all Mach number values is presented in this paper. The continuum one-dimensional governing equations are solved using the friction factor that is established in a special way to provide solutions for mass flow rate, pressure, and velocity distribution through the microchannels and nanochannels in the entire rarefaction regime. The friction factor, defined by the general boundary condition and generalized diffusion coefficient proposed by Beskok and Karniadakis (1999, "A Model for Flows in Channels, Pipes, and Ducts at Micro and Nano Scales," J. Microscale Thermophys. Eng., 3, pp. 43-77), spreads the solution application to all rarefaction regimes from continuum to free molecular flow. The correlation between the product of friction factor and Reynolds number (Poiseuille number) and Knudsen number is established expli...citly in the paper. Moreover, the obtained solution includes the inertia effect, which allows the application of the solution to both subsonic and supersonic gas flows, which was not shown earlier. The presented solution confirms the existence of the Knudsen minimum in the diverging, converging, and microchannels and nanochannels with constant cross section. The proposed solution is verified by comparison with experimental, analytical, and numerical results available in literature.
Извор:
Journal of Fluids Engineering-Transactions of The Asme, 2021, 143, 2Издавач:
- ASME, New York
Финансирање / пројекти:
- Министарство науке, технолошког развоја и иновација Републике Србије, институционално финансирање - 200105 (Универзитет у Београду, Машински факултет) (RS-MESTD-inst-2020-200105)
DOI: 10.1115/1.4048288
ISSN: 0098-2202
WoS: 000600204500007
Scopus: 2-s2.0-85101665000
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Milićev, Snežana AU - Stevanović, Nevena PY - 2021 UR - https://machinery.mas.bg.ac.rs/handle/123456789/3611 AB - The analytical solution for steady viscous pressure-driven compressible isothermal gas flow through micro- and nanochannels with variable cross section for all Knudsen and all Mach number values is presented in this paper. The continuum one-dimensional governing equations are solved using the friction factor that is established in a special way to provide solutions for mass flow rate, pressure, and velocity distribution through the microchannels and nanochannels in the entire rarefaction regime. The friction factor, defined by the general boundary condition and generalized diffusion coefficient proposed by Beskok and Karniadakis (1999, "A Model for Flows in Channels, Pipes, and Ducts at Micro and Nano Scales," J. Microscale Thermophys. Eng., 3, pp. 43-77), spreads the solution application to all rarefaction regimes from continuum to free molecular flow. The correlation between the product of friction factor and Reynolds number (Poiseuille number) and Knudsen number is established explicitly in the paper. Moreover, the obtained solution includes the inertia effect, which allows the application of the solution to both subsonic and supersonic gas flows, which was not shown earlier. The presented solution confirms the existence of the Knudsen minimum in the diverging, converging, and microchannels and nanochannels with constant cross section. The proposed solution is verified by comparison with experimental, analytical, and numerical results available in literature. PB - ASME, New York T2 - Journal of Fluids Engineering-Transactions of The Asme T1 - Gas Flow in Microchannels and Nanochannels With Variable Cross Section for All Knudsen and All Mach Number Values IS - 2 VL - 143 DO - 10.1115/1.4048288 ER -
@article{ author = "Milićev, Snežana and Stevanović, Nevena", year = "2021", abstract = "The analytical solution for steady viscous pressure-driven compressible isothermal gas flow through micro- and nanochannels with variable cross section for all Knudsen and all Mach number values is presented in this paper. The continuum one-dimensional governing equations are solved using the friction factor that is established in a special way to provide solutions for mass flow rate, pressure, and velocity distribution through the microchannels and nanochannels in the entire rarefaction regime. The friction factor, defined by the general boundary condition and generalized diffusion coefficient proposed by Beskok and Karniadakis (1999, "A Model for Flows in Channels, Pipes, and Ducts at Micro and Nano Scales," J. Microscale Thermophys. Eng., 3, pp. 43-77), spreads the solution application to all rarefaction regimes from continuum to free molecular flow. The correlation between the product of friction factor and Reynolds number (Poiseuille number) and Knudsen number is established explicitly in the paper. Moreover, the obtained solution includes the inertia effect, which allows the application of the solution to both subsonic and supersonic gas flows, which was not shown earlier. The presented solution confirms the existence of the Knudsen minimum in the diverging, converging, and microchannels and nanochannels with constant cross section. The proposed solution is verified by comparison with experimental, analytical, and numerical results available in literature.", publisher = "ASME, New York", journal = "Journal of Fluids Engineering-Transactions of The Asme", title = "Gas Flow in Microchannels and Nanochannels With Variable Cross Section for All Knudsen and All Mach Number Values", number = "2", volume = "143", doi = "10.1115/1.4048288" }
Milićev, S.,& Stevanović, N.. (2021). Gas Flow in Microchannels and Nanochannels With Variable Cross Section for All Knudsen and All Mach Number Values. in Journal of Fluids Engineering-Transactions of The Asme ASME, New York., 143(2). https://doi.org/10.1115/1.4048288
Milićev S, Stevanović N. Gas Flow in Microchannels and Nanochannels With Variable Cross Section for All Knudsen and All Mach Number Values. in Journal of Fluids Engineering-Transactions of The Asme. 2021;143(2). doi:10.1115/1.4048288 .
Milićev, Snežana, Stevanović, Nevena, "Gas Flow in Microchannels and Nanochannels With Variable Cross Section for All Knudsen and All Mach Number Values" in Journal of Fluids Engineering-Transactions of The Asme, 143, no. 2 (2021), https://doi.org/10.1115/1.4048288 . .