Rheometry using velocity measurements |
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Authors: | Hung Mok Park Kwang Sub Shin Young Jin Choi |
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Institution: | (1) Department of Chemical and Biomolecular Engineering, Sogang University, Seoul, South Korea |
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Abstract: | Traditional methods of rheometry employ simple flows such as viscometric flows and measure stress or volumetric flow rate
to determine the rheological parameters in the constitutive equation. One can find analytic solutions for stress and volumetric
flow rates for these simple flows, and comparison of them with experimental data determines rheological parameter values.
In the present investigation, rheological parameters are estimated by measuring velocity at certain locations. A pulsatile
flow in a circular pipe, which can be implemented easily, is adopted to estimate rheological parameters in a general constitutive
equation. The inverse problem of determining the rheological parameters from velocity measurements is solved using a conjugate
gradient method. The present method is found to yield a reasonably accurate estimation of rheological parameters even with
noisy velocity measurements. |
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Keywords: | Constitutive equation Rheometry Inverse problem Pulsatile flow Viscoelastic fluid |
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