Brown movement 446 shows the checked-flow stage of D'Ectol's oscillating column, when continued water supply raises the upper column. Compare this state with movement 445 and calculate supplied and assumed lifted water volumes.
Form-2 Water-Volume Calculator
Enter a declared supply rate, observation time and assumed lifted fraction. The worksheet divides the supplied volume arithmetically; neither form 2 nor the animation predicts the lifted fraction or hydraulic performance.
Equation Used
- Supply rate and time are nonnegative declared averages.
- Lifted fraction is a user-declared percentage from zero to 100, not a predicted efficiency.
- Supplied volume is partitioned arithmetically into declared lifted and remaining portions.
- Tube dimensions, plate spacing, cone stability, cycle timing, losses, head, pressure, energy, fabrication and safety are excluded.
The two panels compare cone formation with the checked-flow state. The solid parts stay fixed; the entered volume assumptions do not control the illustrated hydraulic cycle.
Movement 446 shows the checked-flow, rising-column state
Brown presents movements 445 and 446 as successive states of one D'Ectol oscillating column. A smaller upper tube is continuously supplied above a larger lower tube, with a fixed circular plate below and concentric with the opening.
In the form-2 state, the cone of descending water has grown upward from the plate into the smaller tube. It checks the downward flow while continuing supply raises the water column above. When the cone gives way, discharge resumes and the cycle returns toward the form-1 state.
The checked-flow stage of the hydraulic cycle
Brown describes the combined device as elevating a portion of a given fall of water above the reservoir or head while every machine part is fixed. Movement 446 shows a fluid state within that cycle. Periodic action comes from changes in the water rather than moving links or shafts.
Water-volume relationships
Q, t and f are declared inputs. The identities do not infer performance from the historical image.
Water-volume example
For Q=60 L/min, t=10 min and f=20%, supplied volume is 600.0 L, the declared lifted portion is 120.0 L, the remaining portion is 480.0 L and the declared ratio is 0.200.
The 20% entry is an assumption, not a reported result for D'Ectol's device.
What form 2 does not quantify
Brown supplies no universal tube sizes, plate spacing, cone profile, lifted fraction, cycle period, delivery head or efficiency. The animation uses phase only to show the qualitative 445-to-446 state change.
A performance calculation would require a hydraulic model of the tubes, plate and supply and discharge conditions. The assumed lifted fraction used here is independent of that uncalculated behavior.
Form-2 questions
Is form 2 a second machine?
No. It is the later illustrated state of the same oscillating-column cycle.
What changes between 445 and 446?
The water cone grows into the smaller tube, checks downward flow and the continuously supplied upper column rises.
Do any solid machine parts oscillate?
No.
Does the calculator predict lifted fraction or cycle timing?
No.
Can this page size or build the device?
No.
Primary historical reference
- Henry T. Brown, Five Hundred and Seven Mechanical Movements, movements 445-446: primary public-domain paired figures and description of the fixed-part oscillating column, cone check, rising upper column and release.
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