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Formulas for Sugar Industry Boiling House Stock Calculation

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Calculate Available Sugar and Molasses in Intermediate Sugar Process Material by online calculator

Stock Calculations is one of the important duties in the first hour of the day and last 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) \left( \frac{S}{J} \right) = \left[ \frac{J - M}{S - M} \right] \left( \frac{S}{J} \right)

But  S(C+D)  =  Sugar in final product

And  1 x J  =  Sugar in the initial product

Therefore

\frac{\text{Sugar in final product}}{\text{Sugar in initial product}} = \left[ \frac{S (J - M)}{J (S - M)} \right]

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’s Take Syrup for example purpose

Volume of Syrup = V   in M3

Brix of Syrup =  B   in %

Purity  Of Syrup = J    in %

The 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 the SJM formula to this sugar in syrup (Original Material) and can find out available sugar from the syrup

Available Sugar  =  \frac{ [ V \times D \times B \times J ] }{ 100 \times 100 } \times \left[ \frac{ S(J - M) }{ J(S - M) } \right]

Available Sugar  =    {  [ V  x   D  x   B   x  J ] / [ 100 x 100 ] }  x  {  [ S (J – M) / J (S – M) ] }

For simplification of the formula Put the value of sugar purity as 100.

Available Sugar  =  \frac{ [ V \times D \times B \times (J - M) ] }{ 100 \times (100 - M) }

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 are Available sugar

Therefore

Available Molasses

= \frac{\text{Solids in final product (Final Molasses)} \times 100}{\text{Final Molasses Brix}}

  = \frac{(\text{Solids in original material} - \text{Available Sugar}) \times 100}{\text{Final Molasses Brix}}

= \left[ \frac{V \times D \times B}{100} - \frac{V \times D \times B \times (J - M)}{100 \times (100 - M)} \right] \times \left( \frac{100}{\text{FM Bx}} \right)

= \left[ \frac{V \times D \times B}{\text{FM Bx.}} \right] \times \left( 1 - \frac{(J - M)}{(100 - M)} \right)

Sugar Industry Boiling House Stock Calculation -sugarprocesstech

Online Calculator for Boiling house stock calculation in sugar process industry.

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