Cumulative weights on nominal D and end points 1000L = 1m3

Rosin Rammler

R is the percent above particle size x,b and n, P is cumulative If model is valid, then the plot below should have a straight line

( [

])

P, then

, then ln then log

% Ore Lost – Ore % multiplied by wt for each sieve range removed, divided by weight x % for all sieve ranges

– Pa.s | – kg/m3 or m

2/s |

√

√

√

P – diameter 80% pass, F – diameter 80% pass (cumul)

Use nominal diameter, except at end points

( )

Determine Efficiency (U and O) %wt of U and O Us/Fs and Os/Fs Multiple %wt values by the ratios determined Add together to get Fs Us/Fs then graph vs. Normal Size

[

]

E=1.6 E-19, NA=6.022 E23, eo=8.854 E-12, kB=1.38 E-23, I is molar strength times ions produced, MgSO4 4 times.. Concentration in moles/m

3

Can replace x with V, monolayer capacity Models Langmuir, plot P/V vs. P (straight)

BET, plot P/v(Po-P) vs. P/Po

Specific Surface Area

(

)

(

)

(

)

(

) (

)⁄

[

]

[

√

]

To get turbulent f, substitute a value in, get a result and then sub that result in, cycle and get closer every time. 0.5 to start Obtain the n from the power relationship

Pumping Power

msolid, mslurry, ,

NRe (turbulent or laminar) (use relationship given)

Coe + Clevenger Method

[

]

[

]

[

]

Kynch Method

[ ⁄ ⁄

]

Plot H vs. time and sample points, drawing tangent lines underneath the slope is the slope of tangent lines, convert to m/s after is underflow concentration, supplied

Talmadge and Fitch Method

Plot H vs. time, then determine Hu, draw a line from Hu, and drop it down to the time axis from the plot of H vs t, that gives you tu, which can solve the above Q is the underflow feed rate, in m

3/s

(

)

(

)

volume of cake deposited by a volume V of filtrate

Constant Rate (V0=0, t0=0)

Constant Pressure

Washing time 1. Determine the variable a from the filtration data

| ⁄

|

Cycle time (No V data) Constant Rate and Pressure 1. Volume filtered in constant rate is a fraction c of total

4. Solve for t, remove V (Note V1 is not used)

Maximise Capacity (rate and pressure, no washing)

( )

Solve for

in terms of a

6. Substitute the results of 5. Into the constant pressure equation and solve for . Use known t1 to find tf

Maximise Capacity (washing included)

Use the generic filtration equation

Solve L in terms of tf for the filtering Dv/dt washing rate equation in terms of A and V

Solve for tw in terms of L, by subbing in

CS concentration of soln in contact with particle C concentration of bulk of soln, b is effective film thickness

( (

) )

(

)

Using scale model data

Solve for

using the scale data

Apply this to the larger model

(

) (

)

If solvent fed is pure

(

)

Sn/S0 is the fraction of solute fed that remains w/ solids Always round up Variable Underflow 1. Determine the following variables (w/ tabulated X W)

2. Use data to determine reltnshp between Xh and Wh

3. Determine a relationship between Sh and Wh

4. Use the following to determine

5. Use 2 to determine W1, then use 3. to determine S1 6. Use 5. to determine X2 7. Repeat this until an S value is obtain that is less than the required