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(262 citation statements)

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“…This defines a conservative system (i.e., the total kinetic energy is conserved by collisions) that has been used for a long time to model polyatomic gases [6,48,49,55]. The results obtained in this limit are displayed in the last col- Table II and fully agree with those first derived by Pidduck [48].…”

confidence: 76%

“…This defines a conservative system (i.e., the total kinetic energy is conserved by collisions) that has been used for a long time to model polyatomic gases [6,48,49,55]. The results obtained in this limit are displayed in the last col- Table II and fully agree with those first derived by Pidduck [48].…”

confidence: 76%

“…As a consequence, E = 0 and one recovers the known results for inelastic smooth particles [11]. Thus, the presence of roughness induces a non-vanishing function E, even in the conservative case of perfectly rough particles (α = β = 1) [6,55]. A subtler consequence of roughness is the symmetry breakdown of the traceless tensor C ij .…”

confidence: 76%

“…where i, j = 1, 2, according to the particle species [36,38]. Therefore, the relative velocity between colliding particles would be w i j ≡ w i − w j .…”

confidence: 99%

“…1. A rough hardsphere collisional model with two velocity-independent coefficients (tangential, β, and normal, α, restitution coefficients) seems to describe more accurately a generic collision between two dry grains [36].…”

confidence: 97%

“…In order to obtain a closed (finite) system of moment equations, Grad (1949b) expanded the velocity distribution function f in a finite linear combination of the N -dimensional Hermite polynomials (Grad 1949a) in peculiar velocity and computed the unknown coefficients in the expansion in terms of the considered moments by satisfying their definitions with the approximated distribution function. This method of obtaining a closed set of moment equations is referred to as Grad's method of moments and its details can be found in Grad (1949b) and in many standard textbooks, see e.g., Struchtrup (2005); Kremer (2010).…”

confidence: 99%