Free Macroscopic Transport Equations for Rarefied Gas Flows (Interaction of Mechanics and Mathematics)
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Book Details :
Published on: 2006-06-15
Released on: 2006-06-15
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The well known transport laws of Navier-Stokes and Fourier fail for the simulation of processes on lengthscales in the order of the mean free path of a particle that is when the Knudsen number is not small enough. Thus, the proper simulation of flows in rarefied gases requires a more detailed description. This book discusses classical and modern methods to derive macroscopic transport equations for rarefied gases from the Boltzmann equation, for small and moderate Knudsen numbers, i.e. at and above the Navier-Stokes-Fourier level. The main methods discussed are the classical Chapman-Enskog and Grad approaches, as well as the new order of magnitude method, which avoids the short-comings of the classical methods, but retains their benefits. The relations between the various methods are carefully examined, and the resulting equations are compared and tested for a variety of standard problems. The book develops the topic starting from the basic description of an ideal gas, over the derivation of the Boltzmann equation, towards the various methods for deriving macroscopic transport equations, and the test problems which include stability of the equations, shock waves, and Couette flow. web.mit.edu / jik/src/Attic/kerberos_ password - . .mn 0 01 05_1 1 10 100 10th 11 11_d0003 12 13 14 141a 143b 15 16 17 17igp 18 19 1900 1901 1902 1903 1904 1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 ... Lattice Boltzmann Method - Scholarpedia 1 Fluids atoms and kinetic theory; 2 The Lattice Boltzmann equation: history; 3 The Lattice Boltzmann equation: mathematical formulation. 3.1 ... Non-equilibrium thermodynamics - Wikipedia Non-equilibrium thermodynamics is a branch of thermodynamics that deals with physical systems that are not in thermodynamic equilibrium but can adequately be ... META-INF/MANIFEST.MFname/audet/samuel/shorttyping META-INF/MANIFEST.MFname/audet/samuel/shorttyping/ShortDictManager$BufferedStream.classname/audet/samuel/shorttyping/ShortDictManager.classname/audet/samuel ... Why greenhouse gas warming doesnt break the second law of ... This is generating many comments see below for an update! Behind the scenes some skeptics are suggesting that CO2 cant warm us because the atmosphere is colder ...
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