Share

Matrix viscosity model

The matrix viscosity model is used to determine the viscosity from measured data supplied at specific temperatures, shear rates, and pressures.

To be able to use the matrix viscosity model, the raw data that you enter must comply with the following rules:

  • The data must be entered in the following columns:

    • Temperature (deg C)
    • Shear rate (1/s)
    • Pressure (MPa)
    • Viscosity (Pa.s)
  • The data points should be listed in order of increasing temperature.

  • Group the data points into blocks of the same temperature.

  • Each temperature should have the same number of data points associated with it; the blocks should be of equal size.

  • Within each temperature block, the data points must be arranged in order of increasing shear rate.

  • The same set of shear rates should be used in each block.

  • If the data is pressure dependent, all of the temperature "blocks" should repeat for each pressure.

  • If the data is independent of pressure, the pressure column should contain zeroes.

  • There should be no redundant entries (two data points with the same temperature and shear rate).

Important: If the raw viscosity data does not comply with all the above requirements for matrix viscosity data, then the matrix model cannot be used for analysis. Instead, you should select another viscosity model based on this data and then use that viscosity model for analysis.

Viscosity interpolation (between data points) and extrapolation (outside the data point range) is done on log(viscosity) versus pressure, temperature, and log(shear rate).

Note: An example is given in the table below:

Example of matrix viscosity data

TemperatureShear RatePressureViscosity
2001001588.14976
2001000499.72072
20010000104.84577
20010000019.62513
250100893.17063
2501000354.65616
2501000082.22354
25010000015.74756
300100561.25237
3001000265.61970
3001000068.20139
30010000013.41388
200101002133.99428
200100100596.17034
2001000100120.19162
2001000010022.30935
250101001198.26646
250100100422.93819
250100010092.83596
2501000010017.55214
30010100741.10595
300100100316.38216
300100010076.24789
3001000010014.74524

Was this information helpful?