## 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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## 9 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