2012
DOI: 10.1016/j.euromechflu.2012.01.001
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Nonisothermal oscillatory cylindrical Couette gas flow in the slip regime: A computational study

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Cited by 27 publications
(17 citation statements)
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“…In the past decade, in order to investigate the damping due to the normal pressure, the propagation of sound waves (Hadjiconstantinou 2002;Sharipov & Kalempa 2008a;Kalempa & Sharipov 2009;Gu & Emerson 2011;Struchtrup 2011;Desvillettes & Lorenzani 2012;Kalempa & Sharipov 2012) between two parallel plates or in a semi-infinite space has been extensively studied; to investigate the damping caused by the shear force, oscillatory Couette flows both in planar (Park, Bahukudumbi & Beskok 2004;Tang et al 2008;Sharipov & Kalempa 2008b;Doi 2009;Taheri et al 2009;Yap & Sader 2012) and cylindrical geometries (Emerson et al 2007;Shi & Sader 2010;Gospodinov, Roussinov & Stefan 2012) have been studied. For these investigations the adopted methods have included the direct simulation Monte Carlo (DSMC) method (Bird 1994), the discrete velocity method for the linearized Bhatnagar-Gross-Krook (BGK), ellipsoidal statistical BGK, and Shakhov kinetic model equations (Bhatnagar, Gross & Krook 1954;Holway 1966;Shakhov 1968), the numerical kernel method for the linearized Boltzmann equation of hard-sphere gases (Doi 2009), the regularized 13-and 26-moment equations (Struchtrup 2005;Gu & Emerson 2011), and the lattice Boltzmann method (Tang et al 2008;Meng & Zhang 2011).…”
Section: Introductionmentioning
confidence: 99%
“…In the past decade, in order to investigate the damping due to the normal pressure, the propagation of sound waves (Hadjiconstantinou 2002;Sharipov & Kalempa 2008a;Kalempa & Sharipov 2009;Gu & Emerson 2011;Struchtrup 2011;Desvillettes & Lorenzani 2012;Kalempa & Sharipov 2012) between two parallel plates or in a semi-infinite space has been extensively studied; to investigate the damping caused by the shear force, oscillatory Couette flows both in planar (Park, Bahukudumbi & Beskok 2004;Tang et al 2008;Sharipov & Kalempa 2008b;Doi 2009;Taheri et al 2009;Yap & Sader 2012) and cylindrical geometries (Emerson et al 2007;Shi & Sader 2010;Gospodinov, Roussinov & Stefan 2012) have been studied. For these investigations the adopted methods have included the direct simulation Monte Carlo (DSMC) method (Bird 1994), the discrete velocity method for the linearized Bhatnagar-Gross-Krook (BGK), ellipsoidal statistical BGK, and Shakhov kinetic model equations (Bhatnagar, Gross & Krook 1954;Holway 1966;Shakhov 1968), the numerical kernel method for the linearized Boltzmann equation of hard-sphere gases (Doi 2009), the regularized 13-and 26-moment equations (Struchtrup 2005;Gu & Emerson 2011), and the lattice Boltzmann method (Tang et al 2008;Meng & Zhang 2011).…”
Section: Introductionmentioning
confidence: 99%
“…The numerical solution of the NSF and DSMC models in detail is described in [15,17,19]. We study three main cases with different frequency - The filament temperature variation 300 0 t is shown on Figure 1a and the filament temperature variation for one period is shown on Figure 1b.…”
Section: Numerical Results and Discusionmentioning
confidence: 99%
“…Following [9,12,15] we introduce a Stokes number for temperature oscillations 2 L , where is kinematic viscosity and -temperature circular frequency. The relation between dimensionless temperature frequency and Stokes number can be written, using Eq.…”
Section: -2mentioning
confidence: 99%
“…Starting from the inner cylinder wall M grid nodes are introduced along the coordinate r. The time discretization step is t and the step along the axis r is r and r j r j 1 . j is the grid nod number (more details are given in [6,22]). …”
Section: Continuous Model (Nsf) and Numerical Simulationmentioning
confidence: 99%
“…The viscous drag depending on the Knudsen number: the positive valuesrotating inner cylinder, the negative valuesrotating outer cylinder, inthe drag on the inner cylinder, outthe drag on the outer cylinder In the paper[22] the fact of the hydrodynamic similarity in the velocity profiles in oscillatory Couette flow, and explained. The same observation can be determined for the case of steady-state Couette flow when the inner cylinder or the outer one rotates with constant velocity.…”
mentioning
confidence: 99%