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Burnett Equations: Derivation and Analysis

  • Amit Agrawal
  • Hari Mohan Kushwaha
  • Ravi Sudam Jadhav
Chapter
  • 544 Downloads
Part of the Mechanical Engineering Series book series (MES)

Abstract

The Burnett equations is a superset of the Navier–Stokes equations, and one of the most important higher-order continuum transport equations. The derivation and nature of the equation in both Cartesian and cylindrical coordinates is presented in this chapter. The equations involve large number of terms, which makes them quite formidable to solve, both analytically and numerically. Nonetheless there has been some recent success in obtaining analytical solution of the Burnett equations, as discussed here. An order of magnitude analysis of the various terms reveals that the Burnett-order terms in the equations are of order Knudsen number square. A stability analysis of the equations for one-dimensional wave reveals the unstable nature of the equations.

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Amit Agrawal
    • 1
  • Hari Mohan Kushwaha
    • 1
  • Ravi Sudam Jadhav
    • 1
  1. 1.Department of Mechanical EngineeringIndian Institute of Technology, BombayMumbaiIndia

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