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RESEARCH PRODUCT

Phase Plane Analysis of Web Drying

Jānis Cepītis

subject

Engineering drawingNonlinear systemFiber saturation pointDistribution (mathematics)Series (mathematics)PapermakingSteam temperatureMechanical engineeringPhase plane analysisPhase planeMathematics

description

The mathematical model which describes the web drying in the papermaking machine has been carried out in the collaboration between our institute and joint-stock company “Paper Mill ‘Ligatne’” engineers. The general principles of this develpopment were underlined in the report [zz00]. Under some simplifying assumptions this model can be reduced to the nonlinear moisture — temperature phase plane equation. This equation promotes to obtain significant physical parameters used in the mathematical model, clarifies the causes which allow to optimize the papermaking machine drying cylinders temperature regime. The phase plane equation also explains the parabolic temperature distribution in a series of these cylinders used in practice.

https://doi.org/10.1007/978-3-662-09510-2_9