Dispersion of contaminant in oscillatory flows
type: Item
instance of: scholarly article
title: Dispersion of contaminant in oscillatory flows
zbMATH Open document ID: 0661.76091
DOI: 10.1007/BF01194345
author: S. H. Smith
published in: Acta Mechanica
publication date: 1988-01-01T00:00:00Z
review text: An extension of the Aris-Barton method of moments [see \textit{N. G. Barton}, J. Fluid Mech. 126, 205-218 (1983; Zbl 0523.76084)] is presented for the study of statistical behaviour of dispersion of contaminant molecules in oscillatory flows inside uniform conduits. The main idea is to replace the constant pressure gradient which causes the flow simply by the time-dependent one, and then investigate the effects of the amplitude and frequency of the pressure pulsations on the dispersion process. The technique incorporates the case of the time-independent flow also, and gives an exact analysis of the central moments of the distribution of the cloud of contaminant, which are valid for all times after the injection. The general theory is applied to oscillatory laminar flow in tubes, and between parallel plates.
Mathematics Subject Classification ID: 76R99
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 4081193
zbMATH Keywords: statistical behaviour of dispersion of contaminant molecules
zbMATH Keywords: oscillatory flows
zbMATH Keywords: pressure pulsations
zbMATH Keywords: time-independent flow
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01194345
OpenAlex ID: W2079596384
description: scientific article; zbMATH DE number 4081193