2010
DOI: 10.1007/s12257-010-0060-9
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Evaluation of kinetic parameters and mass transfer of glucose-fed granules under hypoxic conditions

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“…The Thiele modulus describes the relationship between the characteristic time for diffusion rate over the characteristic time for reaction rate, that is, between the surface reaction rate over the diffusion rate through the aggregate. Although Thiele modulus ( ϕ ) was originally developed for immobilized catalysts [ 53 ], it has already been applied in microbial aggregates [ 54 , 55 ] to evaluate the influence of diffusional resistance in biological systems. The modified Thiele modulus for biological systems ( ϕ Bio , Eq 11 ) was obtained by the ratio between characteristic time for diffusion (τ diff ; Eq 12 ) and characteristic time for Monod-type reaction rate (τ r,Monod ; Eq 13 ): …”
Section: Methodsmentioning
confidence: 99%
“…The Thiele modulus describes the relationship between the characteristic time for diffusion rate over the characteristic time for reaction rate, that is, between the surface reaction rate over the diffusion rate through the aggregate. Although Thiele modulus ( ϕ ) was originally developed for immobilized catalysts [ 53 ], it has already been applied in microbial aggregates [ 54 , 55 ] to evaluate the influence of diffusional resistance in biological systems. The modified Thiele modulus for biological systems ( ϕ Bio , Eq 11 ) was obtained by the ratio between characteristic time for diffusion (τ diff ; Eq 12 ) and characteristic time for Monod-type reaction rate (τ r,Monod ; Eq 13 ): …”
Section: Methodsmentioning
confidence: 99%