caa a22 4500 467893012 CHVBK 20180406152754.0 cr unu---uuuuu 170328e20061101xx s 000 0 eng 10.1007/s10955-006-9199-3 doi (NATIONALLICENCE)springer-10.1007/s10955-006-9199-3 Struchtrup Henning Department of Mechanical Engineering, University of Victoria, P.O. Box STN CSC 3055, V8W 3P6, Victoria, BC, Canada aut Scaling and Expansion of Moment Equations in Kinetic Theory [Elektronische Daten] [Henning Struchtrup] The set of generalized 13 moment equations for molecules interacting with power law potentials [Struchtrup, Multiscale Model. Simul. 3:211 (2004)] forms the base for an investigation of expansion methods in the Knudsen number and other scaling parameters. The scaling parameters appear in the equations by introducing dimensionless quantities for all variables and their gradients. Only some of the scaling coefficients can be chosen independently, while others depend on these chosen scales-their size can be deduced from a Chapman-Enskog expansion, or from the principle that a single term in an equation cannot be larger in size by one or several orders of magnitude than all other terms. It is shown that for the least restrictive scaling the new order of magnitude expansion method [Struchtrup, Phys. Fluids 16(11):3921 (2004)] reproduces the original equations after only two expansion steps, while the classical Chapman-Enskog expansion would require an infinite number of steps. Both methods yield the Euler and Navier-Stokes-Fourier equations to zeroth and first order. More restrictive scaling choices, which assume slower time scales, small velocities, or small gradients of temperature, are considered as well. Springer Science+Business Media, LLC, 2006 Kinetic theory nationallicence moment methods nationallicence Chapman-Enskog nationallicence expansion, Burnett equations nationallicence Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 125/3(2006-11-01), 569-591 0022-4715 125:3<569 2006 125 10955 https://doi.org/10.1007/s10955-006-9199-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9199-3 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Struchtrup Henning Department of Mechanical Engineering, University of Victoria, P.O. Box STN CSC 3055, V8W 3P6, Victoria, BC, Canada aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 125/3(2006-11-01), 569-591 0022-4715 125:3<569 2006 125 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer