Yl. Yeh et al., Modelling lumped-parameter sorption kinetics and diffusion dynamics of odour-causing VOCs to dust particles, APPL MATH M, 25(7), 2001, pp. 593-611
An analytical algorithm is presented for fast simulation of the adsorption
kinetics and diffusion dynamics of odour-causing volatile organic compounds
(VOC-odour) which originate in the stored swine manure to airborne dust pa
rticles in a ventilated airspace. The model is an extension to the well-kno
wn lumped-parameter model (LPM) that incorporates a Langmuir-Hinshelwood (L
H) kinetic concept dependent on VOC-odour concentration with diffusion limi
tation. The basic idea behind the model implementation is to couple the cal
culations of the two major processes in the VOC-odour/dust particle system:
VOC-odour diffusion based on the homogeneous surface diffusion model (HSDM
) and surface reaction based on the LH kinetics in an LPM scheme. The LPM e
mploys Laplace transforms and gamma distributions of the rate coefficient t
o produce a lumped-parameter gamma model (LPCM) for kinetic equation of VOC
-odour adsorption to airborne dust particles, whereas the HSDM incorporates
the age and size distributions of airborne dust for evaluating the dust-bo
rne VOC-odour dynamics. The integrate assessment of VOC-odour sorption kine
tics and diffusion dynamics allows to relate the adsorption rate coefficien
t, reaction order, and surface effective diffusivity in a complex VOC-odour
/dust particle system. The LPCM fitted well with the data obtained numerica
lly from HSDM and successfully determined the adsorption rate coefficient a
nd reaction order for each sorption process. (C) 2001 Elsevier Science Inc.
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