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.  So in this article given formulas for calculate vapour line dia for juice heater and evaporator and also proved online calculator.

Juice Heater Vapour Inlet Line Dia:

Required Data For Calculation:

  • Crushing Rate in TCH
  • Heated Juice Percentage ( P) ( Like Mixed juice % cane ,Sulphited juice% Cane, Clear juice% cane)
  • Specific heat of juice in Kcal/kg/oC ( Cp )

 ( The specific heat Cp of sucrose solutions is given, to a close approximation, by the equation:

Cp = 1 – 0.006 B

B = brix of the solution.

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

  • Juice inlet temperature ( Ti ) in oC
  • Juice outlet temperature ( To ) in oC
  • Juice heater inlet vapour Temperature ( Tv) in oC
  • Juice Heater inlet vapour velocity ( V ) in m/sec
  • Latent heat of vapour of inlet vapour ( λ ) in Kcal/ kg ( It taken from steam table)
  • Specific Volume of inlet Vapour (Sp) in M3/kg ( It taken from steam table) Vapour line dia calculation for juice heater and evaporator -sugarprocesstech.com

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 take 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:

  • Evaporator Body Heating Surface ( H ) in m2
  • Evaporation Rate of the body ( E ) in Kg/ hr/ m( To be  take maximum value for calculating the vapour lines)
  • Temperature of evaporator body Inlet vapour ( Ti ) in oC
  • Temperature of evaporator body outlet vapour (To ) in oC
  • Velocity of evaporator body inlet vapour (V i)  in m/sec
  • 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 for 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:

  • 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 take 10% extra vapour on actual requirement )

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


Related Articles:

Definition in steam properties like enthalpy, sensible heat , latent heat, total heat, supersaturated steam.

Design consideration parameters in Robert Evaporator Design.

Direct Contact Heater (DCH) Design Calculation with Online Calculator.

Flash Vapour Calculation | Flash Vapour Recovery Vessel Design Calculation.

Shell and Tube Multipass Heat Exchanger Design | Tubular juice heater design calculation with online calculator.

Thumb Rules for Sugar factory Equipment Design Sizing.

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Post Author: siva alluri

The aim of this Blog "sugarprocesstech" is Providing basic to advance knowledge in sugar process industry and providing maximum calculation regarding capacity and equipment design online calculators .

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

    Kuldeep chaudhary

    (October 15, 2017 - 3:48 pm)

    Very nice

    Anuj

    (June 27, 2018 - 11:03 am)

    What do you mean by SQRT in formula

    ishaque mohammad

    (September 14, 2018 - 5:54 am)

    thanx

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