SDM Pulp Calculations.xls

8/18/2019 SDM Pulp Calculations.xls

1/20

Pulp Calculation Formula and nomenclature

CFPM =Cubic Feet Per MinuteCp = Slurry Viscosity (absolute)

Cs = Slurry Viscosity (kinematic)

Gp = Gallons pre Minute of PulpGs = Gallons per Minute of Solids

Gw = Gallons per Minute of Water

u =

P! = Percent solids by Volume

Pw = Percent Solids by Wei"#t (Pulp $ensity)

%ws = %atio of Water to Solids by Wei"#tSp = Specific Gra!ity of Pulp

Ss = Specific Gra!ity of Solids

&p = &ons per 'our of Pulp

&s = &ons per 'our of Solids&w = &ons per 'our of Water

Vi = Velocity

Water kinematic !iscosity mm*+s


2/20

centipoise

centistokes

=(Gw,Ss-.,&s)+Ss =.,&p+Sp=.,&s+Ss =Gp/Gw

=(.,&s,(/Pw))+Pw =.,(&p/&s)

= (Sp /)+(Ss /) =(.,&s)+(.,&s -Ss,Gw)

= (Ss , (Sp/))+(Sp , (Ss / )) = (. , &s)+(.,&s - Gw)

=(/Pw)+Pw=Ss+(Ss-Pw/Ss,Pw) =(Ss,(.,&s-Gw))+(Gw,Ss-.,&s)

=(Pw,Sp)+(-Pw,Sp/Sp) =(.,Sp,&s)0(1,&s -Gw/Gw,Sp)

=(.,&s-Gw)+. =Gp,Sp+.=(Pw,Gw)+(.,(/Pw)) =(P!,Ss,Gp)+.

=&p/&s =Gw+.

= 234567-8l $pi94 (Ss/):9;3< /u+$pi


3/20

=(.,&s,(/P!))+(Ss,P!)

= (.,&s)+(Ss,Gp) =Pw,Sp+Ss

= &s + (&s - &w) = &s+ &p

=.,&p+Gp = (-%ws)+(%ws-(+Ss))

= (., &s,Sp)+(.,&p/Gw,Sp)

=(Ss,Gw,(Sp/))+(.,(Ss/Sp))


4/20

Pulp Calculations (Water >ased) &o use enter t#e re?uired

Specific Gra!ity of Solids Ss = *3@2

Specific Gra!ity of Pulp Sp = 3*;

Pw %ws Ss Sp P! (Gp+&s)+'our *A3;B *32. *3@2 3*;; 3*.B *32@

Pw %ws Ss Sp P! (Gp+&s)+'our

3;B 553;; 3*; 3;;* ;324B .;344

*3;B .53;; 3*; 3;;4 3A@B *;;34443;B 4*344 3*; 3;;< *3


5/20

data in t#e #i"#li"#ted cells

Pw = Percent Solids by Wei"#t (Pulp $

CFPM+(&s+'our) P! = Percent solids by Volume3@* Ss = Specific Gra!ity of Solids

Sp = Specific Gra!ity of Pulp

CFPM+(&s+'our) &s = &ons per 'our of Solids


6/20

nsity)

t


7/20

Pulp Calculations (Water >ased) &o use enter t#e re?uired

Percent Solids by Wei"#t (Pulp $ensity) Pw = *


8/20

data in t#e #i"#li"#ted cells

Pw = Percent Solids by Wei"#t (Pulp $

CFPM+(&s+'our) P! = Percent solids by Volume32 Ss = Specific Gra!ity of Solids

Sp = Specific Gra!ity of Pulp

CFPM+(&s+'our) &s = &ons per 'our of Solids


9/20

nsity)

t


10/20

&o use enter t#e re?uired data in the highlighted cells Water

Free Settlin" Particle %ate &emperature 20.00

B by !olume solids P! = 35.0% B by !olume solids u = Viscosity 1.002

Particle sie $pi = 0.20 mm 1.005Specific Gra!ity Ss = 2.78 S3G3 Water $ensity 0.9968

Free seetlin" !elocity of particle (Vi) = 3.86 mm+s 13.89 m+#r 0.15 in+sec

Vi = 234567-8l $pi94 (Ss/):9;3< /u+$pi

Solids/corrected particle 8rc#imedes coefficient for system 8l = 67;3;;4(/P!)9.3AA":+7u9*:

Wit# t#e correct unitsD t#e abo!e settlin" !elocity correlation applies to any fluidD includin" airEbut note S = ratio of solids to air densities 7w#ic# is around ;3;;* "ramme+cubic centimetreE and

air kinematic !iscosity u is about < mm*+s at room temperature

Free Seetlin" Velocity

mm+sec B Solids by Volume M+#r

$pi = mm .;B 4;B *;B ;B B mm

;3 ;3A5 3. *3A .3.2 A322 ;3

;3* *3A5


11/20

68.00

Cp

CsSp3Gr3

Free Seetlin" Velocity Free Seetlin" Ve

B Solids by Volume in+sec B Solids b

.;B 4;B *;B ;B B inc#es .;B 4;B *;B

*3.5


12/20

locity

y Volume

;B B

;32 ;3*@

;3A ;3253;5 3


13/20

Particle Settlin" %ate Hindered

Particle sie $pi (mm)= ;3<

Percent Solids by Wei"#t (Pulp $ensity Pw = ;3;BSpecific Gra!ity of Solids Ss = *3


14/20

&o use enter t#e re?uired data in t#e #i"#li"#ted cells

B Solids by Volume in+sec B Solids b

.;B 4;B *;B ;B B inc#es .;B 4;B *;B

;3


15/20

Volume

;B B

;3;< ;3;2

; * ; 44


16/20

&o use enter t#e re?uired data in t#e #i"#li"#ted cells

Particle Settlin" %ate Hindered Free

Particle sie $pi (mm)= ;3< ;3


17/20

;3.@< @3A* 23.. .@< 3** *@3. .@<

;3< 2345 53AA


18/20

Gra!ityConstant 52; mm+sec9*

8dHustmen

52; mm+sec9*

Settlin" %ate

(ft+sec)'indered Free

; ;

;3;;;; ;3;;;;

;3;;;; ;3;;;*

g = 532 m+s* = 4*3* ft+s*


19/20

;3;*


20/20

;

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SDM Pulp Calculations.xls