Calculate Available Sugar and Molasses in Intermediate Sugar Process Material by online calculator
Stock Calculations is one of the important duty in first hour of the day and lost hour of the shift in sugar process industry.
Required Formulas in boiling house stock calculation.
S-J-M Formula:
This formula is used for calculating the available sugar from the raw material or from the other material.
Suppose
S =Purity of Sugar or final product.
J =Purity of initial material or purity of raw material.
M = Purity of molasses or by-product.
1 =Solids in initial material i.e. solids in raw material
C+D =Total solids in final products (C = Sugar & D = non-sugar)
1- (C+D)= Solids in the by-product(molasses)
Sugar in initial material = Sugar in final product + Sugar in by-product
1 x J = (C+D)S + (1- (C+D)) M
J = (C+D)S + M – M (C+D)
J – M = (C+D) (S – M)
(C+D) = [ (J – M) / (S – M) ]
Multiplying both sides by S / J
(C+D) (S / J) = [ (J – M) / (S – M) ] [ S /J )
But S(C+D) = Sugar in final product
And 1 x J = Sugar in initial product
Therefore
Sugar in final product / Sugar in initial product = [ S (J – M) / J (S – M) ]
Calculation of Available Sugar by SJM formula :
In factory working generally stock of material is taken volumetrically then its sample is analyzed for Brix, pol, and purity. From reference table density of the material is found out from the brix. Then the sugar in the original material is calculated and to that figure the SJM formula is applied.
Let Take Syrup for example purpose
Volume of Syrup = V in M3
Brix of Syrup = B in %
Purity Of Syrup = J in %
Density of Syrup = D in gm/ml (The density of Syrup can be found out from the reference table)
Then sugar in the syrup will be = [ V x D x B x J ] / [ 100 x 100 ]
We can apply SJM formula to this sugar in syrup (Original Material) and can found out available sugar from the syrup
Available Sugar = { [ V x D x B x J ] / [ 100 x 100 ] } x { [ S (J – M) / J (S – M) ] }
For simplification of the formula Putting the value of sugar purity as 100.
Available Sugar = { [ V x D x B x (J – M) ] / [ 100 (100 – M) ] }
Calculation of Available Molasses by SJM formula :
Solids in by product = Solids in original material -Solids in final product (sugar)
But the solids in the final product is Available sugar
Therefore
Available Molasses
= [Solids in final product (Final Molasses) x 100 ] / Final Molasses Brix.
= [ (Solids in original material – Available Sugar) x 100 ] / Final Molasses Brix.
= { [ V D B /100] – [ V x D x B x (J – M) ] / [ 100 (100 – M) ] } x { 100 / FM Bx}
= { [ V D B / FM Bx.] } x { 1 – [ (J – M) ] /(100 – M) ] }
Online Calculator for Boiling house stock calculation in sugar process industry.
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