Graining Volume Calculation in Batch Pan

Graining Volume Calculation in Batch Pan | Sugar Process Tech

In this article, the concepts of the Graining volume in batch pan and example for calculation of the graining volume are discussed.

The Concept of Graining Volume of the Batch Pan

The graining volume is the volume of the pan up to the level of the top tube plate, the minimum volume at which the pan can operate.

This term “Graining Volume” is used to denote the minimum volume of massecuite, which must be introduced in to the pan before opening of steam valve. It is calculated corresponding to the upper surface of top tube plate. It is also referred as ‘footing volume’ of the pan.

Graining volume generally expressed in percent of the working volume of the that pan. It is varies from 35 to 45%. Generally, all types of massecuites graining made with higher purity syrup or molasses and afterward pan is filled with low purity material. So lower graining volume is obviously of advantage for better purity control of massecuite. Also low graining volume is helps to increase the crystal size.

However some massecuites graining material preparation and developing of the massecuite with same material. In such situation, the % graining volume is not necessary to be considered for purity reduction.

Present scenario to improve the circulation of the pan use short length tubes . If tube length of pan decreases, then increase in the calendria diameter for the pan with same heating surface. The increase in calandria diameter increases the graining volume of pan.

In case of 800 mm tube length pans, the graining volume increases upto 40 % to 42%. Such pans definitely give higher circulation in pans.

The Graining volume of the batch pan calculated by adding these volumes in pan

a) Bottom cone volume

b) Bottom ring volume

c) Total tubes volumes

d) Down take Volume

e) Volume of the pan upto 50mm height from top tube plate (It may not be required to add this volume while calculating the graining volume)

Example of calculation of graining volume single discharge type:

Graining Volume of Batch Pan
Sl.no.	Description	Formula	Values	UOM
Input Data
1	Capacity of pan		60	T
2	No. of tubes	N	1306	nos.
3	Tube thickness	t	1.6	mm
4	Tube Length	H1	750	mm
5	Tube OD	OD	102	mm
6	Dia of pan	D1	5600	mm
7	Dia of the down take	D2	2400	mm
8	Height of the bottom ring	H2	50	mm
9	Angle of bottom cone	α	18	Deg
10	Discharge Dia	D3	600	mm
Graining Volume Calculation
1	ID of the tube	ID = OD – 2xt	98.8
2	Volume of massecuite in tubes	Q1 = 0.785 x ID x ID x H1 x N	7.51	M³
3	Volume of down take	Q2 = 0.785 x D2 x D2 x H1	3.39	M³
4	Volume of the bottom ring	Q3 = 0.785 x D1 x D1 x H2	1.23	M³
5	Height of the bottom cone	h = [(D1 – D3)/2 ] x TAN α	812.30	mm
6	A1=	0.785 x (D1)²	24.62	M²
7	A2=	0.785 x (D3)²	0.28	M²
8	Volume of the bottom cone	Q4 = h/3 (A1+A2+√A1A2)	7.46	M³
9	Graining Volume	Q1+Q2+Q3+Q4	19.58	M3

Example of calculation of graining volume “W” type cone

Graining Volume of Batch Pan (“W” Type cone )
Sl.no.	Description	Formula	Values	UOM
Input Data
1	Capacity of pan		60	T
2	No. of tubes	N	1306	nos.
3	Tube thickness	t	1.6	mm
4	Tube Length	H1	750	mm
5	Tube OD	OD	102	mm
6	Dia of pan	D1	5600	mm
7	Dia of the down take	D2	2400	mm
8	Dia of bottom inverted cone	D3	2200	mm
9	Height of the bottom ring	H2	50	mm
10	Angle of bottom cone	α	18	Deg
11	Angle of bottom inverted cone	Φ	35	Deg
Graining Volume Calculation
1	ID of the tube	ID = OD – 2t	98.8
2	Volume of massecuite in tubes	Q1 = 0.785 x ID x ID x H1 x N	7.51	M³
3	Volume of down take	Q2 = 0.785 x D2 x D2 x H1	3.39	M³
4	Volume of the bottom ring	Q3 = 0.785 x D1 x D1 x H2	1.23	M³
5	Height of the bottom cone	h 1 = [(D1 – D3)/2 ] x TAN α	552.36	mm
6	A1=	0.785 x (D1)²	24.62	M²
7	A2=	0.785 x (D3)²	3.80	M²
8	Volume of the bottom cone	Q4 = h/3 (A1+A2+√A1A2)	7.01	M³
9	Height of the bottom inverted cone	h2 = [( D3)/2 ] x TAN Φ	770.23	mm
10	Volume of inverted cone	Q5 = 1/3 x 0.785 x (D3)² h2	0.98	M³
11	Graining Volume	Q1+Q2+Q3+Q4 – Q5	18.17	M³

Online Calculator for calculating the Graining Volume in Batch pan

Please Click Here

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