Parameter estimation and geometrical optimal design for Bingham measurement devices
- Logashenko, Dmitriy
- Maar, Bernd
- Schulz, Volker
- Wittum, Gabriel
2010 Mathematics Subject Classification
- 65K05 65N22 76A05 90C52
- Parameter estimation, optimal experimental design, Bingham fluids.
Bingham models are frequently used for describing the flow of pastes. Usually, Bingham material parameters have to be determined in a rather cumbersome and time consuming manner. In this paper we develop a parameter estimation method for the automatic numerical determination of certain model parameters. Theresult is a tool for the simultaneous determination of all model parameters by using data from a single experiment sweep. Additionally, a method is presented to compute optimal shapes of corresponding measurement devices which lead to a high reliability of the resulting parameter estimation.