Rheometry based on free surface velocity

A. J. M. Al-behadili, M. Sellier, R. Nokes, M. Moyers-gonzalez, P. H. Geoghegan

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
Pages (from-to)689-709
Number of pages21
JournalInverse Problems in Science and Engineering
Issue number5
Early online date30 Aug 2018
Publication statusPublished - 4 May 2019

Bibliographical note

This is an Accepted Manuscript of an article published by Taylor & Francis Group in Inverse Problems in Science and Engineering on 30 August 2018, available online at: https://doi.org/10.1080/17415977.2018.1509965


Dive into the research topics of 'Rheometry based on free surface velocity'. Together they form a unique fingerprint.

Cite this