Logo - springer
Slogan - springer

Engineering - Mechanical Engineering | Macroscopic Transport Equations for Rarefied Gas Flows - Approximation Methods in Kinetic Theory

Macroscopic Transport Equations for Rarefied Gas Flows

Approximation Methods in Kinetic Theory

Struchtrup, Henning

2005, XIV, 258 p. 35 illus. Also available online.

Available Formats:
eBook
Information

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.

 
$69.95

(net) price for USA

ISBN 978-3-540-32386-0

digitally watermarked, no DRM

Included Format: PDF

download immediately after purchase


learn more about Springer eBooks

add to marked items

Softcover
Information

Softcover (also known as softback) version.

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$99.00

(net) price for USA

ISBN 978-3-540-24542-1

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days


add to marked items

  • About this textbook

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.

Content Level » Graduate

Keywords » Asymptotic Methods - Boltzmann Equation - Chapman-Enskog Expansion - Grad Moment Method - Kinetic Theory - Knudsen Layers - Microscale Flows - Shock Waves - Transport - simulation

Related subjects » Applications - Classical Continuum Physics - Complexity - Engineering - Mechanical Engineering

Table of contents 

Popular Content within this publication 

 

Articles

Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Engineering Thermodynamics, Heat and Mass Transfer.