03174nam a22004455i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003100118041000800149100003400157245015100191260006100342264006100403300006700464336002600531337002600557338003600583347002400619490005700643505035800700520120401058650001702262650001702279650002502296650002002321650001702341650005302358650003302411650002502444650002002469650004802489710003402537773002002571776003602591830005702627856004402684978-3-540-32386-0DE-He21320141014113513.0cr nn 008mamaa100301s2005 gw | s |||| 0|eng d a97835403238607 a10.1007/3-540-32386-42doi aeng1 aStruchtrup, Henning.eauthor.10aMacroscopic Transport Equations for Rarefied Gas Flowsh[electronic resource] :bApproximation Methods in Kinetic Theory /cby Henning Struchtrup. 1aBerlin, Heidelberg :bSpringer Berlin Heidelberg,c2005. 1aBerlin, Heidelberg :bSpringer Berlin Heidelberg,c2005. aXIV, 258 p. 35 illus. Also available online.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aInteraction of Mechanics and Mathematics,x1860-62450 aBasic quantities and definitions -- The Boltzmann equation and its properties -- The Chapman-Enskog method -- Moment equations -- Gradâ€™s moment method -- Regularization of Grad equations -- Order of magnitude approach -- Macroscopic transport equations for rarefied gas flows -- Stability and dispersion -- Shock structures -- Boundary value problems. aThe 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. 0aEngineering. 0aMathematics. 0aStatistical physics. 0aThermodynamics.14aEngineering.24aEngineering Thermodynamics, Transport Phenomena.24aApplications of Mathematics.24aStatistical Physics.24aThermodynamics.24aPhysics and Applied Physics in Engineering.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9783540245421 0aInteraction of Mechanics and Mathematics,x1860-624540uhttp://dx.doi.org/10.1007/3-540-32386-4