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SCRUBBER DESIGN (PACKED COLUMN)

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Selected column, packed, scrubber.
  • column
  • packed
  • scrubber
  • column
  • packed
  • scrubber
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SCRUBBER DESIGN (PACKED COLUMN)
Prepared by : Column Tag No. :
Checked by : Job No. :
Date : Client :
Project :
# Input Data Stream : HCL Vap.
Packing type  = Intallox Saddles
Packing size = 25 mm
Packing MOC = PP
Gas pr. Drop / m bed = 15 mmWC / m packing height = 147.1 (N/m2)/m
Total packing height = 3.2 m (including all packed beds)
Gas / Vapour Properties
Gas / Air flow rate = 1000 kg/h OR 0 m3/h
= 0.2778 kg/s
=    
0 m3/s
Gas pressure at entry = 1.0000 atm
Gas temperature at entry = 30.00 oC = 303.00 oK
Gas / Air mol weight = 29
Component to be scrubbed
Component Name = HCL Vap
Component flow rate = 70 Kg/h
% comp. in air/gas = 6 % (v/v) (presumed) / (given by client) / (by process cal.)
Molecular weight of comp. = 36.5
Liquid / Scrubbing media Properties
Scrubbing media = 20% NaOH
Liquid flow rate, L = 77 kg/h
= 0.0214 kg/s
Liquid Density,    L 1 = 1100 kg/m3 Conversion :
Liquid Viscosity, µL  = 0.0035000 Ns/m2 3.5 Cp          = 0.00350000 Ns/m2
Packing factor, Fp = 21 m-1
Charac. Packing Factor,Cf = 33     Ref. Table 6.3, Characterstics of Random packings
Conversion factor, J = 1.0 factor for adequate liquid distribution & irrigation across the bed
Calculations
TO CALCULATE COLUMN DIAMETER
Since larger flow quantities are at the bottom for an absorber, the diameter will be chosen to 
accommodate the bottom conditions.
To calculate Gas density
Avg. molecular weight = 29.45 Kg / Kmol
If gas flow rate is given in kg/h If gas flow rate is given in m3/h
1 1 1
Gas in   = 0.009432183 Kmol/s Gas in   = (m3/s) x     273 x pr. in atm    x    1
1 1 1     T in kelvin 1.0 atm 22.4
= (kmol/s) x T in kelvin x  1.0 atm  x 22.4 1
                  273          pr. In atm      1  = 0 Kmol/s
=  0.234499 m3/s  = 0 Kg/s
1
Select vol. flow rate and mass flow rate from above,
Selected mass flow rate = 0.2777778 Kg/s
Selected vol. Flow rate = 0.234499 m3/s
Selected molar flow rate = 0.0094322 Kmol/s
Therefore, gas density = 1.1846 Kg/m3 (mass flow rate / vol. Flow rate)
To find L', G' and Tower c/s area
Assuming essentially complete absorbtion, 
Component removed = 0.0207 Kg/s (molar flow rate x % comp. x mol. Wt.)
Liquid leaving = 0.0420 Kg/s (Inlet liquid flow rate + comp. Removed)
1111 0.5 = 0.00497
1
Using   0.00497 as ordinate,  Refer fig.6.34  using a gas pressure drop of 147.1 (N/m2)/m
1 = 0.04  (from graph)
11 1
Therefore, G' = 1 111 1 0.5
     Cf  µL0.1 J
= 1.6665 Kg / m2.s
Tower c/s area = 0.1667 m2 ( c/s area = mass flow rate / G' )
Tower diameter = 0.4607 m = 460.7 mm
= 500 mm
Corresponding c/s area = 0.1963 m2
TO ESTIMATE POWER REQUIREMENT
Efficiency of fan / blower = 60 % assumed / given
To calculate pressure drop
Pressure drop for irrigated = 470.72 N/m2 (pressure drop per m packing  x total ht. of packing)
packing
For dry packing,
O/L Gas flow rate, G' = 1.3095 Kg / m2.s (Gas inlet flow rate - Component removed) / c/s area
O/L Gas pressure = 100854.28 N/m2 (subtracting pressure drop across packing)
Gas density,       G 1 = 11 11 1 1
22.41m3/Kmol    T in kelvin 101330
= 1.1605 Kg/m3
CD = 96.7     Ref. Table 6.3, Characterstics of Random packings
1 = 1
   Z 1
= 142.89 N/m2
Pressure drop for packing = 613.61 N/m2 (irrigated packing + dry packing)
Pressure drop for internals = 25 mmWC (packing supports and liquid distributors)
= 245.17 N/m2
Gas velocity = 7.5 m/s
Inlet expansion & outlet = 1.5 x Velocity heads = 1.5 x (V2 / 2g)
contraction losses = 42.19 N m / Kg
= 49.97 N/m2 (divide by density)
Total pressure drop = 908.75 N/m2 (packing + internals + losses)
Fan power output = 1
O/L gas density, Kg/m3
= 201.35 N .m / s
= 0.20 kW
Power for fan motor = 0.34 kW (fan power output / motor efficiency)
= 0.45 hp
COLUMN DIAMETER / HYDRAULIC CHECK
1
Liq.-Vap. Flow factor, FLV = (L / V) x   (    V /     L) 11
= 0.0025
Design for an initial pressure drop of  15 mm H2O /m packing
From K4 v/s FLV,
K4 = 0.85
K4 at flooding = 6.50
1
Trial % flooding = (     (K4 / K4 at flooding)     )   x 100
= 36.1620
1
Gas mass flow rate, Vm = 11 11 1
1 1
= 3.7763 kg/m2.s
Trial column c/s area = V / Vm
(Trial As)
= 0.0736 m2
Trial column dia., D = 0.3060 m D = 1
Round off 'D' to nearest standard size
Therefore, D = 0.500 m
Column C/S area, As = 0.1963 m2
As =
(pi/4) x D2
% flooding = 13.5472 % flooding = Trial % flooding x (Trial As / As)
Conclusion
Generally packed towers are designed for 50% -- 85% flooding.
If flooding is to be reduced,
(i) Select larger packing size and repeat the above steps.
OR
(ii) Increase the column diameter and repeat the above steps.
HETP PREDICTION
Norton's Correlation : ln HETP  =  n - 0.187 ln      +  0.213 ln  µ 1
Applicable when, 
liquid phase surface tension   > 4 dyne/cm & < 36 dyne/cm
liquid viscosity  > 0.08 cP & < 0.83 cP
Conversion :
Input Data 0.018  N/m    = 18 dyne/cm
Liquid-phase 
Surface Tension,  1 = 20 dyne/cm Norton's Correlation Applicable
Liquid Viscosity = 3.5 cP Norton's Correlation NOT applicable
n = 1.13080
Calculation
ln HETP = 0.8374366
HETP = 2.3104368 ft
= 0.7042211 m
For separations, less than 15 theoritical stages, a 20% design safety factor can be applied.
Considering 20% safety factor, 
HETP = 0.8450653 m
For separations, requiring 15 to 25 theoritical stages, a 15% design safety factor can be applied.
Considering 15% safety factor, 
HETP = 0.8098543 m

Table 6.2
Constant for HETP Correlation
1
Ref.:: Random Packings and Packed Towers  ---- Strigle

1
1
1
1
Ref. : : Chemical Engineering, Volume-6 ,  COULSON & RICHARDSON'S

1
1
1
Ref. : : Mass Transfer Operation : : Treybal

1
1
Column Diameter
Table 6.2
Fig 11.44
Fig 6.34
Table 6.3
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