Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Rarefied gas dynamics --- Gaz raréfiés, Dynamique des. --- Congresses --- Gaz raréfiés, Dynamique des.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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.

Rarefied gas dynamics. --- Gaz raréfiés, Dynamique des --- Engineering. --- Mathematics. --- Statistical physics. --- Thermodynamics. --- Engineering Thermodynamics, Transport Phenomena. --- Applications of Mathematics. --- Statistical Physics. --- Physics and Applied Physics in Engineering. --- Rarefied gas dynamics --- Applied Physics --- Engineering & Applied Sciences --- Superaerodynamics --- Applied mathematics. --- Engineering mathematics. --- System theory. --- Heat engineering. --- Heat transfer. --- Mass transfer. --- Engineering Thermodynamics, Heat and Mass Transfer. --- Complex Systems. --- Engineering, general. --- Statistical Physics and Dynamical Systems. --- Fluid dynamics (Space environment) --- Gas dynamics --- Physics --- Mathematical statistics --- Chemistry, Physical and theoretical --- Dynamics --- Mechanics --- Heat --- Heat-engines --- Quantum theory --- Math --- Science --- Construction --- Industrial arts --- Technology --- Statistical methods --- Dynamical systems. --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Statics --- Engineering --- Engineering analysis --- Mathematical analysis --- Mass transport (Physics) --- Thermodynamics --- Transport theory --- Heat transfer --- Thermal transfer --- Transmission of heat --- Energy transfer --- Mechanical engineering