Influence of transport coefficients' dependence on temperature for gas flow in microbearing
Апстракт
The paper presents an analytical solution for the non-isothermal compressible gas flow in a slide microbearing with different temperatures of walls. The gas flow is defined by the Navier-Stokes-Fourier system of the continuum equations and first order boundary conditions. Knudsen number corresponds to the slip and continuum flow (Kn lt = 10(-1)) and Reynolds number is moderately high, so inertia needs to be included. The solution is obtained by perturbations with the first approximation that relates to the continuum flow and the second one that involves second-order effects: the rarefaction, inertia, convection, dissipation, and rate at which work is done in compressing the element of fluid. The presented model analyzes the influence of the dependence of transport coefficients on temperature. The obtained analytical solution for the pressure, velocity, and temperature is approved by a comparison with the results of other authors. The microbearings can often be a part of MEMS, so the p...resented method and the obtained analytical solution can serve for solving similar non-isothermal shear-driven or pressure-driven problems. The paper gives an estimation about the error in values for microbearing mass flow and load capacity if the dependence of transport coefficients on temperature are neglected.
Кључне речи:
slip flow / rarefaction / non-isothermal flow / Microbearing / inertiaИзвор:
Advances in Mechanical Engineering, 2022, 14, 6Издавач:
- Sage Publications Ltd, London
Финансирање / пројекти:
- Министарство науке, технолошког развоја и иновација Републике Србије, институционално финансирање - 200105 (Универзитет у Београду, Машински факултет) (RS-MESTD-inst-2020-200105)
DOI: 10.1177/16878132221103942
ISSN: 1687-8132
WoS: 000810991300001
Scopus: 2-s2.0-85131349650
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Milićev, Snežana AU - Stevanović, Nevena PY - 2022 UR - https://machinery.mas.bg.ac.rs/handle/123456789/3728 AB - The paper presents an analytical solution for the non-isothermal compressible gas flow in a slide microbearing with different temperatures of walls. The gas flow is defined by the Navier-Stokes-Fourier system of the continuum equations and first order boundary conditions. Knudsen number corresponds to the slip and continuum flow (Kn lt = 10(-1)) and Reynolds number is moderately high, so inertia needs to be included. The solution is obtained by perturbations with the first approximation that relates to the continuum flow and the second one that involves second-order effects: the rarefaction, inertia, convection, dissipation, and rate at which work is done in compressing the element of fluid. The presented model analyzes the influence of the dependence of transport coefficients on temperature. The obtained analytical solution for the pressure, velocity, and temperature is approved by a comparison with the results of other authors. The microbearings can often be a part of MEMS, so the presented method and the obtained analytical solution can serve for solving similar non-isothermal shear-driven or pressure-driven problems. The paper gives an estimation about the error in values for microbearing mass flow and load capacity if the dependence of transport coefficients on temperature are neglected. PB - Sage Publications Ltd, London T2 - Advances in Mechanical Engineering T1 - Influence of transport coefficients' dependence on temperature for gas flow in microbearing IS - 6 VL - 14 DO - 10.1177/16878132221103942 ER -
@article{ author = "Milićev, Snežana and Stevanović, Nevena", year = "2022", abstract = "The paper presents an analytical solution for the non-isothermal compressible gas flow in a slide microbearing with different temperatures of walls. The gas flow is defined by the Navier-Stokes-Fourier system of the continuum equations and first order boundary conditions. Knudsen number corresponds to the slip and continuum flow (Kn lt = 10(-1)) and Reynolds number is moderately high, so inertia needs to be included. The solution is obtained by perturbations with the first approximation that relates to the continuum flow and the second one that involves second-order effects: the rarefaction, inertia, convection, dissipation, and rate at which work is done in compressing the element of fluid. The presented model analyzes the influence of the dependence of transport coefficients on temperature. The obtained analytical solution for the pressure, velocity, and temperature is approved by a comparison with the results of other authors. The microbearings can often be a part of MEMS, so the presented method and the obtained analytical solution can serve for solving similar non-isothermal shear-driven or pressure-driven problems. The paper gives an estimation about the error in values for microbearing mass flow and load capacity if the dependence of transport coefficients on temperature are neglected.", publisher = "Sage Publications Ltd, London", journal = "Advances in Mechanical Engineering", title = "Influence of transport coefficients' dependence on temperature for gas flow in microbearing", number = "6", volume = "14", doi = "10.1177/16878132221103942" }
Milićev, S.,& Stevanović, N.. (2022). Influence of transport coefficients' dependence on temperature for gas flow in microbearing. in Advances in Mechanical Engineering Sage Publications Ltd, London., 14(6). https://doi.org/10.1177/16878132221103942
Milićev S, Stevanović N. Influence of transport coefficients' dependence on temperature for gas flow in microbearing. in Advances in Mechanical Engineering. 2022;14(6). doi:10.1177/16878132221103942 .
Milićev, Snežana, Stevanović, Nevena, "Influence of transport coefficients' dependence on temperature for gas flow in microbearing" in Advances in Mechanical Engineering, 14, no. 6 (2022), https://doi.org/10.1177/16878132221103942 . .