6533b838fe1ef96bd12a44e0

RESEARCH PRODUCT

Non-Isothermal Mathematical Model of Wood and Paper Drying

Jānis CepītisAndrejs ReinfeldsHarijs KalisA. Buiķis

subject

MoistureSeries (mathematics)Scientific methodPapermakingInitial value problemHumidityMechanicsTransport phenomenaPhysics::Atmospheric and Oceanic PhysicsIsothermal processMathematics

description

A mathematical model of wood or paper drying based on a detailed consideration of both heat and moisture transport phenomena is proposed. By averaging we express the model as a sequence of initial value problems for systems of two first order nonlinear ordinary differential equations. This mathematical model makes it possible to efficiently investigate the drying process of a thin wood plate or paper sheet for varying temperature and humidity conditions in the surroundings. In particular, we have considered the optimization of the heat regime over a series of steam-heated cylinders in a papermaking machine.

https://doi.org/10.1007/978-3-662-04784-2_65