A simple random walk on parallel axes moving at different rates

Author:

Barnett V.

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.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference10 articles.

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3. A method for estimating inter rivulet mixing

4. The flow profile of the liquid phase in packed columns;Leenaerts;Chim. Ind. Genie. Chim.,1966

5. A study of the flow of liquid when freely trickling over the packing in a cylindrical tower

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1. Random-Walk Method as Applied to the Description of Flow Patterns in Catalytic Packed-Bed Columns;Theoretical Foundations of Chemical Engineering;2022-10

2. Characteristics of liquid and tracer dispersion in trickle-bed reactors: Effect on CFD modeling and experimental analyses;Computers & Chemical Engineering;2011-01

3. A discrete random walk model for diffusion in media with double diffusivity;The Journal of the Australian Mathematical Society. Series B. Applied Mathematics;1980-07

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