WIAS Preprint No. 642, (2001)

Parameter estimation and geometrical optimal design for Bingham measurement devices


  • Logashenko, Dmitriy
  • Maar, Bernd
  • Schulz, Volker
    ORCID: 0000-0001-7665-130X
  • 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.

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