total height of float
circumference of float
height float floats below water
mass of the doser (inc T, larger tube, and fittings)
length of outflow tubing from FCM to pressure break tee, used in experiments Fall08
in Tamara the wall is 17.5cm thick, and there is 28cm between the wall and the far side of the rapid mix.
effective lever arm length (from pivot to tee attachment)
inner diameter of column used to collect FCM outflow and take pressure readings
area of the clear column used to catch and measure FCM outflow via pressure sensor
time step used by easy data to collect pressure sensor data
black UV-resistant tubing
tube inside diameter from manufacturer
Error value determined by FC linearization team Fall08 for potential discrepancies between actual tubing diameter and manufacturer-stated tubing diameter.
Actual inner diameter of tubing used
For theoretical flowrate out the FC w.r.t. delta h
Hagen-Poiseuille w/no minor losses
This is head loss due to major losses (caused by shear).
This is head loss due to minor losses (caused by flow expansions).
This is total head loss due to major and minor losses.
Kinematic viscosity of water at temp in lab
I am not sure on a precise value for the roughness. However, this term only matters for turbulent flow. I varied this parameter to get a better fit.
Minor head loss coefficient. estimated.
diameter of float
volume of float
mass of the doser when it is full of water (at lowest/farthest point and therefore heaviest) calcd by calculating mass of water in tubing and adding that to mass of doser above
Derived from a moment balance around the pivot.
concentration of the alum stock
maximum expected plant inflow (chosen based on Tamara)
min expected plant inflow (based on Tamara)
maximum chemical dosing based on request in Tamara, where max flow has been about 130mL/min but engineers have requested the CD be designed up to 200mL/min incase but Monroe suggested 300mL/min instead.
Maximum chemical dosing to plant (mg alum/Lplant flow)
Gives the water level (height) up the LFOM from 0 to 20cm.
alum dosing increment to design for
the distance between each 5mg/L dose increment on the lever arm
Flow of alum for given plant flowrate to get 5mg alum/L plant flow increments at each dose position (see dose.inc for dose increments)
Flow of alum at Tamara max plant flowrate to get 5mg alum/L plant flow increments at each dose position.
Change in driving head from zero at each 5mg/L position along lever arm at highest outflow/head loss
When head loss from expansions (minor losses) are ignored the 60cm long 1/8in ID tubing provides good fit.
10cm on lever arm
15cm on lever arm
25cm on lever arm
20cm on lever arm
10 cm on lever arm
25 cm lever arm
5 cm on lever arm
15 cm arm length
20 cm lever arm
colheight sub script is arm length by float height
input a vector of column heights from the pressure sensor, returns an average flowrate based on the rate of height change in the column
minus 2 because the new vector created will be the differences of each value in the data, and we cannot subtract the first and last data points from anything
Produces a matrix of float heights to outflow rates for a given distance on the lever arm for datasets with float attached and known array of corresponding float heights (h.float10)
No T ->top row is float height in cm
bottom row is FCM outflow in cm3/s
All at same distance on lever arm
With transpose -> left column is float height, right column is outflow
scratch work
The 15cm lever arm data may be incorrect...
Produces a matrix of float heights to outflow rates for a given distance on the lever arm.
Tania's Analysis Method
converts height of the float at a given doser position to the change in height of the doser
doser heights for the data taken with float attached
prototype data
robust system data
Fixed arm system
Program was having trouble when Q array started at 0.
dots are robust w float
triangles are prototype
fixed arm is squares