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Integro-partial differential equations
Posted Aug 19, 2011, 1:43 p.m. EDT 1 Reply
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It's crystallization kinetics from supersaturated solution which has three dependent variables
Particle size distribution: f(L,t)
Particle growth rate: G(L,t)
Supersaturation: s(t)
Two independent variables:
time: t
particle size: L
Three governing equations:
(1) df/dt + d(Gf)/dt = 0
(2) ds/dt = -K integro (L^2 * G * f dL)
(3) G = a*s / (1+L/b)
with appropriate intial conditions and boundary conditions
IC:
(1) s(t=0)=1
(2) f(L, t=0) = 0
BC:
G(t, L=0) f (t, L=0) = c* exp(p ln(s))
Constants: a, b, c, p, K
Can comsol solve this? Thanks
Hello Beibei Qu
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