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A dynamic model for rectangular capillary suction apparatus
Author(s) -
Lee DuuJong
Publication year - 1994
Publication title -
journal of chemical technology and biotechnology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.64
H-Index - 117
eISSN - 1097-4660
pISSN - 0268-2575
DOI - 10.1002/jctb.280600406
Subject(s) - dimensionless quantity , capillary action , saturation (graph theory) , mechanics , momentum (technical analysis) , suction , constant (computer programming) , mathematics , materials science , physics , thermodynamics , computer science , finance , combinatorics , economics , programming language
A model for the dynamic behaviour of wet front distance and liquid saturation in rectangular capillary suction apparatus (RCSA) is developed. Governing equations based on the mass/momentum balance are derived and solved numerically. The calculation shows that the effects of the intial conditions on system dynamics vanish rapidly, and the system will then evolve along a slow manifold independent of the initial conditions. When time is large, the dimensionless wet front distance with time is a straight line on a log–log plot with slope 1/2, and the liquid saturation under the inner cell will approach to a constant which depends only on the product of solid concentration and the averaged specific resistance if the RCSA is fixed. Optimum experimental conditions are suggested. A rapid method based on the model for estimating the averaged specific resistance of cake is proposed and compared with experimental findings.