Vapour Line Dia Online Calculation for Juice Heater and Evaporator

Formulas to Find Juice Heater and Evaporator vapour Line Dia

In Equipment Design Drawing of Sugar process Industry, vapour line dia is one of the important Calculation.  In this article provided formulas for calculate vapour line dia for juice heater and evaporator and also having 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 specific heat of sucrose solutions is given by the equation:

Cp = 1 – 0.006 B

B = brix of the solution. ( This equation is 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 of vapour of inlet vapour ( λ ) in Kcal/ kg ( It taken from steam table)

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

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 : Equipment flexibility purpose it is better to considered 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) ]

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/ m²  ( To be  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

As Per E.Hugot Apparent Heat Transfer Coefficients for Evaporator Bodies

 E.Hugot recommended for Evaporation Rate of The Several Vessels of a multiple effect working under the condition of temperature drop from 120^oC to 55^oC

For General Consideration of evaporation rate taken for calculations

Formulas for calculation:

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

Specific volume of evaporator body Outlet vapour ( So ) in M³/kg (Taken from 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: Equipment flexibility purpose it is better to considered 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

Click here

Online Calculator for Evaporator Vapour Pipe Dia

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