The Knudsen paradox has been observed in experiments of channel flow with varying channel width or equivalently different pressures.[1] If the normalized mass flux through the channel is plotted over the Knudsen number based on the channel width a distinct minimum is observed around . This is a paradoxical behaviour because, based on the Navier–Stokes equations, one would expect the mass flux to decrease with increasing the Knudsen number. The minimum can be understood intuitively by considering the two extreme cases of very small and very large Knudsen number. For very small Kn the viscosity vanishes and a fully developed steady state channel flow shows infinite flux. On the other hand, the particles stop interacting for large Knudsen numbers. Because of the constant acceleration due to the external force, the steady state again will show infinite flux.[2]
^Martin Knudsen, "Die Gesetze der Molekularströmung und der inneren Reibungsströmung der Gase durch Röhren", Annalen der Physik 333 (1909) 75–130.
^[1], A solution algorithm for the fluid dynamic equations based on a stochastic model for molecular motion.
The Knudsenparadox has been observed in experiments of channel flow with varying channel width or equivalently different pressures. If the normalized...
solid body. Knudsenparadox: Based on the Navier–Stokes equations, one would expect the mass flux in a channel to decrease with increasing Knudsen number,...
The Knudsen number (Kn) is a dimensionless number defined as the ratio of the molecular mean free path length to a representative physical length scale...
Knudsen flow, Knudsen diffusion, Knudsen number, Knudsen layer and Knudsen gases. Also there is the Knudsen equation; two instruments, the Knudsen absolute...
Archived from the original on 30 March 2009. Retrieved 7 April 2009. Knudsen, Lara (2006). Reproductive Rights in a Global Context. Vanderbilt University...
version appeared in 1997). The group consists of Viggo Sommer, Carsten Knudsen and Uffe Rørbæk Madsen. 'Nattergale' is a pun - 'Nattergale' could mean...
friends on the multiplayer aspect of the Paradox Interactive strategy game Hearts of Iron IV, among other Paradox and strategy classics. Mette Jacobsen (born...
Rugel, F. Veselovský, N. Gerasimenko, A. I. R. Herries, J. Kučera, M. F. Knudsen, J. D. Jansen (6 March 2024). "East-to-west human dispersal into Europe...
Archived from the original on 17 October 2013. Retrieved 24 September 2013. Knudsen, Jens M.; Hjorth, Poul G. (6 December 2012). Elements of Newtonian Mechanics...
Klein–Nishina effect – Oskar Klein and Yoshio Nishina Knudsen cell, number – Martin Hans Christian Knudsen Kodaira dimension, embedding theorem, vanishing theorem...
giving room for "progresjon". On day three, Storrvik said that "it is a paradox that if a [prisoner] is treated so badly [by the government while] in prison...
and his wife became a guest of Konrad Knudsen at Norderhov, near Hønefoss, and spent over a year living at Knudsen's house, from 18 June 1935 to 2 September...
anthropic principle". Origin and early history of the Universe: LIEGE 26. Knudsen. pp. 439–444. Bibcode:1986LIACo..26..439L. Bostrom, N. (2002), op. cit...
Mitev, 2016). In the context of organization studies (see e.g. Tsoukas and Knudsen, 2005 or Clegg et al., 2006), a turn is a collective direction of research...
ISBN 978-0-691-04334-0. Translated to English by Karen Jelved, Andrew D. Jackson, and Ole Knudsen, (translators 1997). Peirce, C.S. – see Charles Sanders Peirce bibliography...
208.1431S. doi:10.1126/science.7384784. ISSN 0036-8075. PMID 7384784. Knudsen, Lara (2006). Reproductive Rights in a Global Context: South Africa, Uganda...
the University of Copenhagen, giving lectures on thermodynamics. Martin Knudsen put Bohr's name forward for a docent, which was approved in July 1913,...
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