Abstract:
Liquid diffusion coefficient is a function of the concentration of the diffusion solution
D(
c), and
D(
c) correlation is usually measured by concentration pairing method, Boltzmann-Matano(BM) graphical method, Hall's analytical method and polynomial numerical approximation method. After summing up the above measurement methods, this paper mainly introduces a new method for measuring
D(
c) correlation, that is the BM semi-analytical method. The spatial and temporal profiles of experimental concentration
cexpt(
x,
t)s during diffusion process have been measured on the base of liquid-core cylindrical lenses, combined with the Hall's analytical method and the BM graphical method, the method can quickly, accurately and stably measure
D(
c) correlation. We measured the
D(
c) correlation of glucose aqueous solution at room temperature using the BM semi-analytical method. Furthermore, Fick diffusion equation was solved by using the Finite-Difference Time-Domain (FDTD) method, and the spatial and temporal profiles of diffusion concentration under different
D(
c) correlations were calculated, and the calculated results
cFDTD(
x,
t)s were compared with the
cexpt(
x,
t). The results show that the profiles calculated by FDTD method as comparing with the experimental profile provide an effective verification for the correctness of the measured
D(
c) correlation.