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A CONTINUUM MODEL OF DRYING PROCESSES INVOLVING A JUMP THROUGH HYSTERESIS |
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| Authors: | M. Ilic I.W. Turner |
| Affiliation: | 1. School of Mathematics , Queensland University of Technology , GPO Box 2434, Brisbane, Q4001, Australia;2. Department of Mechanical Engineering , University of Queensland , St Lucia, Q4067, Australia |
| Abstract: | A continuum model of equilibrium drying processes developed by Ilic and Turner [6], [19] is reformulated in such a way that the source terms are absent. The model is also extended by including a jump through the hysteresis formed by the wetting and drying curves. The jump is expressed in terms of Heaviside unit function. When the unit function is approximated by a sequence of functions, a single system of three coupled nonlinear partial differential equations results. The system is solved numerically using finite difference |
| Keywords: | mathematical modelling of drying processes heat and mass transfer multiphase flow in porous media enthalpy formulation drying rate curve evaporation front hygroscopic materials drying of pastes |