Glossary

Casson Analysis

The Casson model is used to characterize the flow behavior of fluids, exhibiting Yield StressYield stress is defined as the stress below which no flow occurs; literally behaves like a weak solid at rest and a liquid when yielded.yield stress behavior, such as chocolate, blood, or printing inks. It is expressed as:

Casson analysis table comparing shear properties of milk chocolate (14.28 Pa) and dark chocolate (29.02 Pa) for fluid behavior analysis.

Example: Casson analysis on two different chocolates

The figure below shows the curves of the shear StressStress is defined as a level of force applied on a sample with a well-defined cross section. (Stress = force/area). Samples having a circular or rectangular cross section can be compressed or stretched. Elastic materials like rubber can be stretched up to 5 to 10 times their original length.stress measured for milk chocolate and dark chocolate (brown and black symbols, respectively). The curves can be described by a mathematical fit based on the Casson model (continuous lines). The resulting parameters are given in the table.

Graph comparing shear stress of milk and dark chocolate using the Casson model, showing distinct flow behaviors.
 Milk chocolateDark chocolate
Casson Yield StressYield stress is defined as the stress below which no flow occurs; literally behaves like a weak solid at rest and a liquid when yielded.yield stress [Pa]14.2829.02
Plastic shear viscosity [Pa.s]1.8636.056
Correlation coefficient0.9930.992
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