“…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).…”