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Pneumatic conveying
Computes, from experimental data, the minimum transport velocity. |
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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. • |
| Mass |
kg |
Mass of granulate. • |
| ρapp, ρ |
g ⁄ L, g ⁄ L |
Apparent density and density of granulate. • |
| Header, transpose ? |
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Data has header or needs transposing. • |
| Data |
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Pressure drop, ΔP,
and bed height, L. •
(Data entry: e.g., copy-paste from Excel.)
|
| Pressure units |
Factor: |
Factor: to convert other to Pa. • |
| Linearize ? |
|
Solve by linearizing the data (log-log). |
| Parameters |
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Initial (start) NM guess for:
(i) vmt; and
(ii) exponent n. • |
| Step |
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NM steps (scale) for each parameter. • |
| maxite, tol, konvge |
|
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 drop and bed height: supply data
in American or European style, separated by blanks or 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 base data are for granules of cork, leading to
a minimum transport velocity of 2.3 m/s.
The graph shows: (red) the experimental points connected
by a broken line; and (green) the corresponding
computed points. |
| References: |
Plate: PneuConveyingMinVelocity |
• Google: "Pneumatic conveying" • Google: "Pneumatic transport"
• Rhodes,
M., 2008, "Introduction to particle
technology", 2.nd ed., John Wiley & Sons, Ltd.,
Chichester (UK)
(ISBN: 978-0-470-01427-1). At Scribd... (pp 31, 214 Eq.s 8.1&8.2, 218 Eq. 8.15, Δp)
• Burkardt, J.,
2007, ASA047
• Wikipedia: Nelder-Mead method
• 1886-11-16: Rieszr Marcel (1969-09-04). |
