Gravity-driven Poiseuille Flow in Dilute Gases. Elastic and Inelastic Collisions
نویسنده
چکیده
An overview of the hydrodynamic profiles derived by kinetic theory tools (Boltzmann equation and kinetic models) for the gravity-driven Poiseuille flow with particles colliding either elastically (planar and cylindrical geometries) or inelastically (planar geometry) is presented. The results obtained through second order in the gravity acceleration show that the Navier–Stokes predictions are qualitatively incorrect over distances of the order of the mean free path, especially in the case of the temperature profile.
منابع مشابه
Fast spectral solution of the generalized Enskog equation for dense gases
We propose a fast spectral method for solving the generalized Enskog equation for dense gases. For elastic collisions, the method solves the Enskog collision operator with a computational cost of O(Md 1Nd logN), where d is the dimension of the velocity space, and Md 1 and Nd are the number of solid angle and velocity space discretizations, respectively. For inelastic collisions, the cost is N t...
متن کاملHeat flux in a vibrated granular gas: the diffusive heat conductivity coefficient
The transport coefficient coupling heat flux and density gradient in a granular gas is measured by taking advantage of the existence of a minimum in the temperature profile of an open vibrated granular medium. This temperature inversion is closely related to the existence of the new transport coefficient. Particle simulations using the Direct Simulation Monte Carlo method will be used to comput...
متن کاملShock-Like Dynamics of Inelastic Gases
Gases of inelastically colliding particles model the dynamics of granular materials [1,2], geophysical flows [3], and large-scale structure of matter in the universe [4]. Typically, a fraction of the kinetic energy is dissipated in each collision, leading to interparticle velocity correlations, a clustering instability [5–9], and in the absence of external energy input, an inelastic collapse [1...
متن کاملGranular Gases Beyond the Dilute Limit
• Dynamics of Sheared Granular Fluid Meheboob Alam In first part of this talk, I will briefly review the dynamics of sheared granular fluid, focusing on instabilities, patterns and bifurcations in plane shear flow. It is shown that a universal criterion holds for the onset of the shear-banding instability (for perturbations having no variation along the stream-wise direction), that lead to shea...
متن کاملNumerical Simulation of Non-Newtonian Inelastic Flows in Channel based on Artificial Compressibility Method
In this study, inelastic constitutive modelling is considered for the simulation of shear-thinning fluids through a circular channel. Numerical solutions are presented for power-law inelastic model, considering axisymmetric Poiseuille flow through a channel. The numerical simulation of such fluid is performed by using the Galerkin finite element approach based on artificial compression method (...
متن کامل