## Formulas for Batch Centrifugal Machine Capacity and Gravity Factor with Online Calculator

Contents

The **batch centrifugal machines** have been using to** handle white and refined sugar massecuites as well as for affination of raw sugar in the sugar refineries.** The batch machines were fully satisfying the sugar industry requirements for high sugar quality such as: low color, no lumps and low residual moisture content.

The purpose of this article is to evaluate the batch centrifugal machine capacity and its gravity factor

### Parameters to be required for calculation:

Basket Shell Internal Diameter in meters = D

Thickness of the massecuite in meters = e (Generally “e” value taken 0.14D for theoretical and 0.12D for practical)

Basket top plate angle to horizontal level in Deg.= θ (Generally this value having 5deg.)

Height of the basket in meters= H

RPM of the basket (maximum RPM in Cycle) = N

Time required for one cycle in sec = T

Density of the massecuite in gm/ml = S

### Formulas for Calculation :

Volume of the massecuite per cycle in M^{3 (M3/cycle) }= V = π e[ H(D-e) + e tanθ ((3D-4e)/6)]

No. of cycles per hour (cycle/hr) =C =3600/T

**Capacity of the machine (Theoretically) = Q = C x V in M ^{3}/hr (M^{3}/cycle x Cycle/hr)**

** =Q x S in tons/hr**

But in practically calculating the capacity of machine takes the following considerations.

- Take 1 to 2 empty cycles during in an hour (Depends on massecuite condition) so consider one empty full cycle in total cycles per hour.
- While charging the massecuite is always purged, spelling out some molasses such that creating space for further massecuite. This is called purging capacity. It is 10% more than theoretical capacity.

**Capacity of the machine (Practically) =Q = [(C-1) x V] x 1.1 in M3/hr**

**= Q x S in tons/hr**

Empty Basket Shell Radius in mtrs = R = D/2

Basket Shell Radius with massecuite in mtrs = r = R-e

Mean Equivalent Radius in mtrs = Rm = 2/3 [(R^{3} – r^{3}) / (R^{2} – r^{2})]

**Gravity factor = G = Rm x 1119 x (N / 1000) ^{2}**

**Gravity factor (General formula) = G = **D x N^{2 }/ 1800

##### Explanation for gravity factor formula

Gravity Factor = Centrifugal force / Gravitational force

= m x Rm x w^{2 }/ m x g.

Where Rm is M.E.R. and

w = angular velocity = 2 π N /60 g = 9.8 m/sec^{2}

Gravity Factor =[ Rm . X 1 X (2πN / 60 )^{2 }] / 9.8

= Rm x 1119 x (N / 1000)^{2}

#### Online Calculator to find Batch Centrifugal Machine Capacity and Gravity Factor

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## 11 thoughts on “Batch Centrifugal Machine Capacity and Gravity Factor Calculation”

## Awanish kumar

(May 8, 2017 - 9:21 am)How you are converting that volume into kg/charge

Volume of the massecuite per cycle in M3 = = π e[ H(D-e) + e tanθ ((3D-4e)/6)]

No. of cycles per hour =C =3600/T

Capacity of the machine (Theoretically) = Q = C x V in M3/hr

=Q x S in tons/hr

& Gravity factor = G = Rm x 1119 x (N / 1000)2

Is not coming accordingly.

Please suggest.

## siva alluri

(May 9, 2017 - 2:05 pm)Thank you for your commenting sir

Explanation for above given default example in calculator

^{3}/cycle^{3}– r^{3}) / (R^{2}– r^{2})]^{2}## NPSINGH

(November 13, 2017 - 12:47 pm)NICE

## Nausheen

(December 15, 2017 - 9:00 am)Hello sir,

The calculations are very helpful.

Do you have the data and calculations for continuous centrifugals and those for the drying section?

## siva alluri

(December 15, 2017 - 4:02 pm)Thank you for your appreciation

we published soon regarding this top

## Ara

(December 18, 2017 - 7:55 am)Hello Sir,

your calculation is very helpful. Since i have study about the centrifugal for the sugar processing, i need to explain about the calculation in details. I have try using your calculation and i got the answer, but when i calculate manually, it is too different. Could you help me ?

## ARUN KUMAR PAL

(February 9, 2018 - 7:52 am)very good ormula.

thanks.

## B. N Amarendra

(March 31, 2018 - 1:36 pm)sir, Pl tell me about massecuite reheater design calculation

## siva alluri

(April 2, 2018 - 4:41 am)We Will publish soon

## Shubham sadalage

(July 7, 2018 - 9:05 am)HOW TO CALCULATE CENTRIFUGAL MACHINE SCREEN OPENING

## siva alluri

(July 12, 2018 - 1:43 pm)It is very simple

1. Find the hole dia of the screen – i.e mesh size ex: 0.06 (60 micron) or 0.09 ( 90 micron)

2. Find the no of holes per sq.cm.

3. Find the perforated area of the each segment of the screen and calculate total area in sq.cm

Now we can find the screen opening area