Rheometry based on free surface velocity

Type of content
Journal Article
Thesis discipline
Degree name
Publisher
Informa UK Limited
Journal Title
Journal ISSN
Volume Title
Language
en
Date
2019
Authors
AL-Behadili AJM
Sellier M
Nokes R
Moyers-Gonzalez M
Geoghegan PH
Abstract

© 2018, © 2018 Informa UK Limited, trading as Taylor & Francis Group. This paper explores the possibility of identifying the rheology of a fluid by monitoring how the free surface velocity field is affected by a perturbation in the flow. The dam-break problem is considered which results from the release of a gate initially separating two fluid pools of different depth. The flow velocity is measured by seeding the free surface with buoyant particles and using Particle Tracking Velocimetry. In parallel, a mathematical model based on the lubrication approximation for fluids with a power-law rheology is developed. The model is validated against a similarity solution which is obtained for the spreading of a gravity current under its own weight and neglecting surface tension. Minimizing the difference between the free surface velocity fields obtained numerically and measured experimentally enables the identification of rheological parameters. The methodology is tested on ideal and noisy synthetic data sets and experimental data obtained with aqueous glycerol.

Description
Citation
AL-Behadili AJM, Sellier M, Nokes R, Moyers-Gonzalez M, Geoghegan PH (2019). Rheometry based on free surface velocity. Inverse Problems in Science and Engineering. 27(5). 689-709.
Keywords
Rheology, dam-break, free surface data, parameter identification
Ngā upoko tukutuku/Māori subject headings
ANZSRC fields of research
Fields of Research::40 - Engineering::4012 - Fluid mechanics and thermal engineering::401212 - Non-Newtonian fluid flows (incl. rheology)
Rights
All rights reserved unless otherwise stated