|
Absorption
parameters (ver. 2) Computes, from experimental data,
the diffusion and relaxation parameters for absorption. |
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| Header, transpose |
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Data have header ? Transpose ? • |
| Data |
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Data: time (min), mass (g).
Decimal mark (here), either: ',' or '.' . • |
| Constants |
m |
Particle diameter. • |
Parameters
and scale factors |
|
Parameters xF, kF, kR
(or initial guesses). • |
| tol, itmax, iprt |
(for Nelder-Mead) |
Tolerance, max. iterations,
intermediate test. • |
| Mode |
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Mode: audit (verify) or solve. • |
| Versus |
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Graph vs. time or its square root. • |
| Show values ? |
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Shows the graph coordinates. |
Computes, from
experimental data, the parameters below.
The total residual (discrepancies between the computed
and the experimental data) is minimized via the numerical Nelder-Mead
(NM) algorithm.
In this plate, the problem is
(super-)absorption: Data are mass (g) of particle
vs. time (min). The parameters are: xF,
kF, kR, i.e., Fickian diffusion
weight, Fickian diffusion rate, and relaxation rate.
(For the base problem, a final residual of ~0.07 is expected.)
The graph shows: (red) the experimental points connected
by a broken line; and (green) the corresponding
computed points. |
| References: |
Plate: SuperabsorbentParams2 |
• Berens, A. R.,
H. B. Hopfenberg, 1978, "Diffusion and relaxation in glassy polymer
powders: 2. Separation of diffusion and relaxation parameters",
Polymer, 19(5):489–496.
(Google: A. R. Berens H. B. Hopfenberg 1978 Polymer)
• Wikipedia: Nelder-Mead method
• 1676-05-28:
Riccati, Jacopo Francesco (1754-04-15). |
