14.5(a) DIFFUSION WITH REACTION IN SPHERICAL PARTICLES WITH IMMOBILIZED ENZYMES |POLVER05_0 |1
d(Nsr2) / d(r) = -Vmpp*S*r^2/(Km+S) #Material balance from differential balance within sphere
Nsr2(0) = 0 #Boundary condition for flux at particle center
d(S) / d(r) = -Ns/De #Fick's Law for diffusion with constant effective diffusivity
S(0) =1.74E-8 #Initial condition for substrate concentration at particle center
Ns=Nsr2/r^2
d(nu) / d(r) = 3*r^2*(S/(Km+S))/(R^3*Ss/(Km+Ss))
r(0) = 1.E-8 #Radius at center of particle
r(f) = 1E-3 #Radius of particle in cm
nu(0) = 0
Km=10*Ss
De=3.E-4 #Effective diffusivity in cm2/min
R=1E-3 #Radius in cm
Vmpp=10.#Vm'' in g-mol/min-cm3
Ss=3.E-5#Substrate concentration in g-mol/cm3
Thiele=R*(Vmpp/(Km*De))^.5
beta=Km/Ss