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Pneumatic conveying (ver. 2)
Computes, from experimental data, the minimum transport velocityn. |
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H, D |
m, m |
Column height and diameter. • |
D, Cv |
m, — |
Diameter of orifice and coefficient
of discharge. • |
ρair |
g ⁄ L (= kg ⁄ m3) |
Density (volumetric mass d.) of air. • |
Massair |
kg |
Mass of granulate. • |
ρapp, ρ |
g ⁄ L, g ⁄ L |
Apparent density and density of granulate. • |
Δp0 |
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Pressure difference.
(For data entry, see below.) • |
Pressure units |
Factor: |
Factor: to convert other to Pa. • |
Bed height |
m |
Bed height of granulate.
(For data entry, see below.) • |
Linearize ? |
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Solve by linearizing the data (log-log). |
Parameters |
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Initial (start) NM guess for vmt and
exponent n. • |
Step |
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NM steps (scale) for each parameter. • |
maxite, tol, konvge |
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Max iterations, tol and
convergence monitoring. • |
Show values ? |
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Shows the graph coordinates. |
Computes, from
experimental data in pneumatic conveying, the minimum transport velocity,
vmt (m ⁄ s).
Data for pressure and bed height: supply data in rows or
columns, American or European style, even if separated by tabs
(such as through copy & paste from Excel).
The total residual (discrepancies between the computed
and the experimental data) is minimized via the numerical Nelder-Mead
(NM) algorithm ASA047 [Burkardt, 2007].
The graph shows: (red) the experimental points connected
by a broken line; and (green) the corresponding
computed points. |
| References: |
Plate: PneuConveyingMinVelocity |
• Burkardt, J.,
2007, ASA047
• Wikipedia: Nelder-Mead method
• 1910-10-19:
Chandrasekhar (Chandra), Subrahmanyan
(1995-08-21). |