Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-23T17:56:08.956Z Has data issue: false hasContentIssue false
  • English
  • Français

A simple random walk on parallel axes moving at different rates

Published online by Cambridge University Press:  14 July 2016

V. Barnett
V. Barnett*
Affiliation:
University of Bathcor1corresp
*
Get access Rights & Permissions [Opens in a new window]

Abstract

Prompted by a rivulet model for the flow of liquid through packed columns we consider a simple random walk on parallel axes moving at different rates. A particle may make one of three transitions at each time instant: to the right or to the left on the axis it was on at the previous time instant, or across to the other axis. Results are obtained for the unrestricted walk, and for the walk with absorbing, or reflecting, end-points.

Keywords

SIMPLE RANDOM WALKRANDOM WALK ON MOVING AXESMODELS FOR LIQUID FLOW
Type
Research Papers
Information
Journal of Applied Probability , Volume 12 , Issue 3 , September 1975 , pp. 466 - 476
Copyright
Copyright © Applied Probability Trust 1975 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Cihla, Z. and Schmidt, O. (1957) Behaviour of liquids flowing through the packing of a cylindrical column. Coll. Czech. Chem. Comm. 22, 896–907.Google Scholar
Huber, M. and Hiltbrunner, R. (1966) Füllkörperrektifizierkolonnen mit maldistribution. Chem. Eng. Sci. 21, 819–832.Google Scholar
Jameson, G. J. (1966) A model for liquid distribution in packed columns and trickle-bed reactors. Trans. Instn Chem. Engrs. 44, T198–T206.Google Scholar
Leenaerts, R. (1966) The flow profile of the liquid phase in packed columns. Chim. Ind. Genie. Chim. 96, 947–959.Google Scholar
Legoff, P. and Lespinasse, B. (1962) Etude du cheminement du liquide travers le garnissage d'une colonne d'absorption gaz liquide. Rev. Inst. Franc. Pet. 17, 21–40.Google Scholar
Mullin, J. W. (1957) The effect of maldistribution on the performance of packed columns. Industrial Chemist 33, 408–417.Google Scholar
Porter, K. E. (1968) Liquid flow in packed columns. Part I. Trans. Instn Chem. Engrs. 46, T69–T73.Google Scholar
Porter, K. E., Barnett, V. D. and Templeman, J. J. (1968) Liquid flow in packed columns. Part II. Trans. Instn Chem. Engrs. 46, T74–T85.Google Scholar
Porter, K. E. and Stephens, G. K. (1969) A method for estimating inter rivulet mixing. Can. J. Chem. Eng. 47, 258–264.Google Scholar
Tour, R. S. and Lerman, F. (1939) An improved device to demonstrate the laws of frequency distribution. With special reference to liquid flow in packed towers. Trans. Amer. Inst. Chem. Engrs. 35, 709–718.Google Scholar