Note on Becker's Theory of the Shock Front
- 1 November 1944
- journal article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 12 (11) , 449-453
- https://doi.org/10.1063/1.1723889
Abstract
Becker, in a classical paper, concludes that weak shocks are many free paths thick and may be treated by ordinary hydrodynamics including the effects of viscosity and thermal conductivity of the medium; that moderately strong shocks have a thickness of the order of a free path and must be treated by a direct attack on the relevant Boltzmann equation; while violent shocks have a thickness small compared with a free path and even the Boltzmann equation is no longer applicable. It is shown here that this last conclusion rests on an oversight; the thickness of a shock front is always at least of the order of magnitude of a free path, and it is to be expected that the Boltzmann equation can be applied even for the most violent shocks.Keywords
This publication has 6 references indexed in Scilit:
- The Distribution of Velocities in a Slightly Non-Uniform GasProceedings of the London Mathematical Society, 1935
- The Effect of Collisions on Monochromatic Radiative EquilibriumMonthly Notices of the Royal Astronomical Society, 1928
- Sto welle und DetonationThe European Physical Journal A, 1922
- The conditions necessary for discontinuous motion in gasesProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1910
- XV. On the thermodynamic theory of waves of finite longitudinal disturbancePhilosophical Transactions of the Royal Society of London, 1870
- VIII. On the mathematical theory of soundPhilosophical Transactions of the Royal Society of London, 1860