Parameters | Description | Units | Value | Sources | |
---|---|---|---|---|---|
SGCS | UGCS | ||||
V L | Total volume of the liquid phase | mL | 5 | 5 | This study |
C 0 | Initial concentration of the enzyme in the bulk solution | mg/mL | 0.133 | 0.133 | This study |
C L | Enzyme concentration in the bulk solution | mg/mL | Dep. var. | Dep. var. | – |
C P,r|r=R | Enzyme concentration at the particle surface | mg/mL | Dep. var. | Dep. var. | – |
C P,r | Enzyme concentration in the particle pores at position r | mg/mL | Dep. var. | Dep. var. | – |
q b | Equilibrium amount of solid-phase bound enzyme | mg/g substrate | Dep. var. | Dep. var. | – |
q m | Maximum solid-phase bound capacity | mg/g substrate | Indep. var. | Indep. var. | – |
K a | Affinity constant | mL/mg | Indep. var. | Indep. var. | – |
C f | Equilibrium concentration of free enzyme in solution | mg/mL | Indep. var. | Indep. var. | – |
t | Adsorption time | min | Indep. var. | Indep. var. | – |
A | Total outer surface area of all the particles | cm2 | Dep. var. | Dep. var. | – |
R | Radius of the particle | cm | 2.18 × 10−2 | 0.18 × 10−2 | This study |
m | Mass of all the particles | g | 0.1 | 0.1 | This study |
r | Radial position in the particle | cm | Indep. var. | Indep. var. | – |
ρ a | Apparent density of the particle | g/cm3 | Dep. var. | Dep. var. | – |
ρ s | Solid density of the particle | g/cm3 | Indep. var. | Indep. var. | – |
V pa | Pore volume accessible to the enzyme | cm3/g | Indep. var. | Indep. var. | – |
V p | Pore volume | cm3/g | Indep. var. | Indep. var. | – |
φ | Ratio of the pore volume accessible to the enzyme to the total pore volume | – | Dep. var. | Dep. var. | – |
K L | External-film mass transfer coefficient | cm/min | Indep. var. | Indep. var. | – |
D p | Pore diffusion coefficient of the enzyme | cm2/min | Indep. var. | Indep. var. | – |
D s | Surface diffusion coefficient of the enzyme | cm2/min | Indep. var. | Indep. var. | – |
D e | Effective diffusion coefficient in the internal pore | cm2/min | Dep. var. | Dep. var. | – |
q r | Solid-phase enzyme adsorption amount at position r | mg/g substrate | Dep. var. | Dep. var. | – |
q a | Average enzyme adsorption amount in the solid particles | mg/g substrate | Dep. var. | Dep. var. | – |
ε | Porosity | – | Dep. var. | Dep. var. | – |
M c | Mass percentage of cellulose in the particles | % | 33.44 | 33.38 | This study |
M h | Mass percentage of cellulose in the particles | % | 17.58 | 17.47 | This study |
M l | Mass percentage of lignin cellulose in the particles | % | 25.21 | 24.35 | This study |
M o | Mass percentage of other compositions such as ash in the particles | % | 23.77 | 24.8 | This study |
ρ c | Cellulose density | g/cm3 | 1.52 | 1.52 | [44] |
ρ h | Hemicellulose density | g/cm3 | 1.56 | 1.56 | [44] |
ρ l | Lignin density | g/cm3 | 1.39 | 1.39 | [44] |
ρ o | Density of other compositions such as ash | g/cm3 | 2.50 | 2.50 | [45] |