A non-isothermal Couette slip gas flow
Abstract
A steady plane subsonic compressible non-isothermal Couette gas flow is analyzed for moderately high and low Reynolds numbers. The flow channel is formed by two plates in relative motion. Two cases are considered: (a) isothermal walls where the temperatures of the plates are equal and constant and (b) with constant but different plate temperatures. The Knudsen number is Kn a (c) 1/2 0.1, which corresponds to the slip and continuum flow. The flow is defined by continuity, Navier-Stokes and energy continuum equations, along with the velocity slip and the temperature jump first order boundary conditions. An analytical solution for velocity and temperature is obtained by developing a perturbation scheme. The first approximation corresponds to the continuum flow conditions, while the others represent the contribution of the rarefaction effect. In addition, a numerical solution of the problems is given to confirm the accuracy of the analytical results. The exact analytical solution, for cons...tant viscosity and conductivity is found for the isothermal walls case as well. It is shown that it is entirely a substitution to the exact numerical solution for the isothermal walls case.
Keywords:
slip flow / perturbation scheme / non-isothermal / Couette gas flow / analytical solutionSource:
Science China-Physics Mechanics & Astronomy, 2013, 56, 9, 1782-1797Publisher:
- Science Press, Beijing
Funding / projects:
- Advanced analytical, numerical and analysis methods of applied fluid mechanics and complex systems (RS-MESTD-Basic Research (BR or ON)-174014)
DOI: 10.1007/s11433-013-5120-7
ISSN: 1674-7348
WoS: 000323311000025
Scopus: 2-s2.0-84883146841
Collections
Institution/Community
Mašinski fakultetTY - JOUR AU - Milićev, Snežana AU - Stevanović, Nevena PY - 2013 UR - https://machinery.mas.bg.ac.rs/handle/123456789/1695 AB - A steady plane subsonic compressible non-isothermal Couette gas flow is analyzed for moderately high and low Reynolds numbers. The flow channel is formed by two plates in relative motion. Two cases are considered: (a) isothermal walls where the temperatures of the plates are equal and constant and (b) with constant but different plate temperatures. The Knudsen number is Kn a (c) 1/2 0.1, which corresponds to the slip and continuum flow. The flow is defined by continuity, Navier-Stokes and energy continuum equations, along with the velocity slip and the temperature jump first order boundary conditions. An analytical solution for velocity and temperature is obtained by developing a perturbation scheme. The first approximation corresponds to the continuum flow conditions, while the others represent the contribution of the rarefaction effect. In addition, a numerical solution of the problems is given to confirm the accuracy of the analytical results. The exact analytical solution, for constant viscosity and conductivity is found for the isothermal walls case as well. It is shown that it is entirely a substitution to the exact numerical solution for the isothermal walls case. PB - Science Press, Beijing T2 - Science China-Physics Mechanics & Astronomy T1 - A non-isothermal Couette slip gas flow EP - 1797 IS - 9 SP - 1782 VL - 56 DO - 10.1007/s11433-013-5120-7 ER -
@article{ author = "Milićev, Snežana and Stevanović, Nevena", year = "2013", abstract = "A steady plane subsonic compressible non-isothermal Couette gas flow is analyzed for moderately high and low Reynolds numbers. The flow channel is formed by two plates in relative motion. Two cases are considered: (a) isothermal walls where the temperatures of the plates are equal and constant and (b) with constant but different plate temperatures. The Knudsen number is Kn a (c) 1/2 0.1, which corresponds to the slip and continuum flow. The flow is defined by continuity, Navier-Stokes and energy continuum equations, along with the velocity slip and the temperature jump first order boundary conditions. An analytical solution for velocity and temperature is obtained by developing a perturbation scheme. The first approximation corresponds to the continuum flow conditions, while the others represent the contribution of the rarefaction effect. In addition, a numerical solution of the problems is given to confirm the accuracy of the analytical results. The exact analytical solution, for constant viscosity and conductivity is found for the isothermal walls case as well. It is shown that it is entirely a substitution to the exact numerical solution for the isothermal walls case.", publisher = "Science Press, Beijing", journal = "Science China-Physics Mechanics & Astronomy", title = "A non-isothermal Couette slip gas flow", pages = "1797-1782", number = "9", volume = "56", doi = "10.1007/s11433-013-5120-7" }
Milićev, S.,& Stevanović, N.. (2013). A non-isothermal Couette slip gas flow. in Science China-Physics Mechanics & Astronomy Science Press, Beijing., 56(9), 1782-1797. https://doi.org/10.1007/s11433-013-5120-7
Milićev S, Stevanović N. A non-isothermal Couette slip gas flow. in Science China-Physics Mechanics & Astronomy. 2013;56(9):1782-1797. doi:10.1007/s11433-013-5120-7 .
Milićev, Snežana, Stevanović, Nevena, "A non-isothermal Couette slip gas flow" in Science China-Physics Mechanics & Astronomy, 56, no. 9 (2013):1782-1797, https://doi.org/10.1007/s11433-013-5120-7 . .