# Vapour Line Dia Online Calculation for Juice Heater and Evaporator

## Formulas to Find Juice Heater and Evaporator vapour Line Dia

In Equipment Design Drawings of the Sugar Process Industry, vapour line dia is one of the important Calculations.  This article provided formulas for calculating vapour line dia for juice heaters and evaporators and an online calculator.

### Juice Heater Vapour Inlet Line Dia:

#### Required Data For Calculation:

1. Crushing Rate in TCH

2. Juice Percentage ( P) ( Like Mixed juice % cane , Sulphited juice% Cane, Clear juice% cane)

3. Specific heat of juice in Kcal/kg/oC ( Cp )

The following equation gives the specific heat of sucrose solutions:

Cp = 1 – 0.006 B

B = brix of the solution. ( This equation is a close approximation)

This formula may be applied without serious error to juices, syrups, and molasses of different purities.)

a) Juice inlet temperature ( Ti ) in oC

b) Juice outlet temperature ( To ) in oC

c) Juice heater inlet vapour Temperature ( Tv) in oC

d) Juice Heater inlet vapour velocity ( V ) in m/sec

e) Latent heat vapour of inlet vapour ( λ ) in Kcal/ kg (Taken from the steam table)

f) Specific Volume of inlet Vapour (Sp) in M3/kg (Taken from steam table)

#### The formula for Calculation:

Heat received by juice = Heat rejected by vapour

Qj x Cp x ΔT  =  W x λ

Qj = Quantity of the juice in kg/hr  (TCH x P x 1000/100)

ΔT = To – Ti

W = Required vapour quantity for juice heating getting in kg/hr after that it is to be converted into M3/sec by multiplying the specific volume of vapour

( Note: For equipment flexibility purposes it is better to consider 10% extra vapour on actual requirement )

I.e [ Qw =  (W x Sp x 1.1) /3600]

Dia of vapour Line =  SQRT [ Qw  / (0.785 x Velocity of vapour) ]

Hint: The general formula to find the area of vapour pipeline is Q = A V  & Area (A) = 0.785 x D2

### Evaporator Body Vapour Inlet and Out Line Dia:

#### Required Data For Calculation:

a) Evaporator Body Heating Surface ( H ) in m2

b) Evaporation Rate of the body ( E ) in Kg/ hr/ m( To take maximum value for calculating the vapour lines)

c) Temperature of evaporator body Inlet vapour ( Ti ) in oC

d) Temperature of evaporator body outlet vapour (To ) in oC

f) Velocity of evaporator body inlet vapour (V i)  in m/sec

g) Velocity of evaporator body outlet vapour (V o)  in m/sec

##### Evaporator Bodies Vapour Velocities Recommended by E.Hugot
 Triple in m/sec Quadruple in m/sec Quintuple in m/sec Min Max Min Max Min Max Exhaust steam to 1st effect 25 30 25 30 25 30 Vapour from 1st effect 30 35 30 35 30 35 Vapour from 2nd effect 40 45 35 40 30 35 Vapour from 3rd effect 50 60 40 45 35 40 Vapour from 4th effect 50 60 40 45 Vapour from 5th effect 50 60
##### As Per E.Hugot Apparent Heat Transfer Coefficients for Evaporator Bodies
 Kcal/m2/oC/hr Triple Effect Quadruple Effect Quintuple Effect Min Max Min Max Min Max 1st effect 2000 2500 2000 2400 2000 2400 2nd effect 1500 1800 1400 1800 1400 1800 3rd effect 800 1000 1000 1400 1300 1500 4th effect 600 800 800 1000 5th effect 500 600
##### E.Hugot recommended the Evaporation Rate of The Several Vessels of a multiple effect working under the condition of temperature drop from 120oC to 55oC
 Triple Effect Quadruple Effect Quintuple Effect Kg/m2/hr Lb/Ft2/hr Kg/m2/hr Lb/Ft2/hr Kg/m2/hr Lb/Ft2/hr 1st effect 53 11 37 7.6 28 5.7 2nd effect 48 9.8 35 7.2 26 5.3 3rd effect 43 8.8 32 6.6 25 5.1 4th effect 28 5.7 25 5.1 5th effect 17 3.5
##### For General Consideration of evaporation rate taken for calculations
 Quadruple Effect  in Kg/m2/hr Quintuple Effect in  Kg/m2/hr Max Min Max Min 1st effect 35 30 35 30 2nd effect 30 25 30 25 3rd effect 25 20 25 20 4th effect 25 20 20 15 5th effect 15 10

#### Formulas for calculation:

The specific volume of evaporator body inlet vapour ( Si ) in M3/kg(Taken from steam table)

The specific volume of evaporator body Outlet vapour ( So ) in M3/kg (Taken from the steam table)

Volume of evaporator body inlet vapour in M3/sec =  [ (H x E x Si) /3600]

Volume of evaporator body outlet vapour in M3/sec  =  [ (H x E x So) /3600]

( Note: For equipment flexibility purposes it is better to consider 10% extra vapour on actual requirement )

Dia of vapour Line = SQRT [ Volume of vapour  / (0.785 x Velocity of vapour) ]

(SQRT = square root)

Online Calculator for Juice Heater Vapour Pipe Dia

Online Calculator for Evaporator Vapour Pipe Dia

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## 8 thoughts on “Vapour Line Dia Online Calculation for Juice Heater and Evaporator”

#### Ramesh Chand Agarwal

(June 25, 2017 - 3:07 pm)

Calculation is scientific.Use ful for learners

#### Manjeet singh

(August 11, 2017 - 5:02 am)

This is very help full for sugar technogist it is good platform to find on line calculation thanks for this

#### siva alluri

(August 11, 2017 - 3:52 pm)

thank you very much sir

#### Kuldeep chaudhary

(October 15, 2017 - 3:48 pm)

Very nice

#### siva alluri

(October 16, 2017 - 12:40 pm)

Thank you sir

#### Anuj

(June 27, 2018 - 11:03 am)

What do you mean by SQRT in formula

#### siva alluri

(June 27, 2018 - 4:21 pm)

SQRT means Square root