LECTURE NINE 054410 PLANT DESIGN 054410 Plant Design LECTURE 9: SEPARATION TOWER DESIGN Daniel R. Lewin Department of Chemical Engineering Technion, Haifa, Israel Refs: Seider, Seader and Lewin (2004), Chapters 14 and 16 Seader and Henley “Separation Process Principles” (1998), Chaps. 6 and 7 Kister, “Distillation Design” (1992), Chaps. 6 and 7 9-1 PLANT DESIGN - Daniel R. Lewin Separation Tower Design Lecture Objectives After this lecture, you should be: n Familiar with the constraints affecting the performance of trayed distillation column. o Able to estimate the efficiency of a trayed distillation column p Able to compute the optimal diameter of a trayed distillation column. q Able to define all of the dimensions of a distillation column, including the minimum wall thickness. For a review of distillation, see: a) Multimedia section on HYSYS-Separations b) http://lorien.ncl.ac.uk/ming/distil/distil0.htm 9-2 1 PLANT DESIGN - Daniel R. Lewin Separation Tower Design Daniel R. Lewin, Technion LECTURE NINE 054410 PLANT DESIGN Distillation Column Design Overview Steps involved: n Selection of operating pressure, to allow the usage of cooling water for condenser, if possible. o Short-cut method used to estimate RR, number of ideal stages, NT,I = NR,I + NS,I , and location of feed tray. p Rigorous solution of material and energy balances to meet the number of specifications = DOFs. q Estimate tray efficiency, E0, and number of actual trays: NR,A = NR,I E0 and NS,A = NS,I E0 r Estimate tower height, diameter, and wall thickness. It is assumed that you are familiar with steps n, o and p. This lecture focuses on steps q and r. 9-3 PLANT DESIGN - Daniel R. Lewin Separation Tower Design Focus of this lecture… The focus of this lecture is on the additional details required to permit the mechanical design of multicomponent separation towers. 9-4 2 PLANT DESIGN - Daniel R. Lewin Separation Tower Design Daniel R. Lewin, Technion LECTURE NINE 054410 PLANT DESIGN n A Look Inside a Distillation Column Liquid a Outlet weir a a a Active tray area Downcomer Vapor 9-5 PLANT DESIGN - Daniel R. Lewin Separation Tower Design n Bubble-caps, Valves or Sieves… Bubble-cap tray Bubble-caps Valves Sieves Relative cost 2.0 1.2 1.0 Pressure drop Highest Intermediate Lowest Efficiency Highest Highest Lowest Vapor capacity Lowest Highest Highest 5 4 2 Typical turndown ratio 9-6 3 Sieve tray Valve tray PLANT DESIGN - Daniel R. Lewin Separation Tower Design Daniel R. Lewin, Technion LECTURE NINE 054410 PLANT DESIGN n Bubble-caps, Valves or Sieves… Bubble-cap tray 9-7 PLANT DESIGN - Daniel R. Lewin Separation Tower Design n Bubble-caps, Valves or Sieves… Valve tray 9-8 4 PLANT DESIGN - Daniel R. Lewin Separation Tower Design Daniel R. Lewin, Technion LECTURE NINE 054410 PLANT DESIGN n Bubble-caps, Valves or Sieves… Sieve tray 9-9 PLANT DESIGN - Daniel R. Lewin Separation Tower Design n Tray Performance Constraints Adverse vapor/liquid flow conditions can cause: Foaming Entrainment Flooding Weeping/dumping Downcomer flooding 9 - 10 5 PLANT DESIGN - Daniel R. Lewin Separation Tower Design Daniel R. Lewin, Technion LECTURE NINE 054410 PLANT DESIGN n Tray Performance Constraints Foaming Foaming refers to the expansion of liquid due to passage of vapor or gas, caused by high vapor flow rates. Although it provides high interfacial liquid-vapor contact, excessive foaming often leads to liquid buildup on trays. In some cases, foaming may be so bad that the foam mixes with liquid on the tray above. Whatever the cause, separation efficiency is always reduced. 9 - 11 PLANT DESIGN - Daniel R. Lewin Separation Tower Design n Tray Performance Constraints Entrainment Caused by excessively high vapor flow rates. Entrainment refers to the liquid carried by vapor to the tray above. It is detrimental because tray efficiency is reduced: lower volatile material is carried to a plate holding liquid of higher volatility. Excessive entrainment can lead to flooding. 9 - 12 6 PLANT DESIGN - Daniel R. Lewin Separation Tower Design Daniel R. Lewin, Technion LECTURE NINE 054410 PLANT DESIGN n Tray Performance Constraints Flooding Flooding is brought about by excessive vapor flow, causing liquid to be entrained in the vapor up the column. The increased pressure from excessive vapor also backs up the liquid in the downcomer, causing an increase in liquid holdup on the plate above. Depending on the degree of flooding, the maximum capacity of the column may be severely reduced. Flooding is detected by sharp increases in column differential pressure and significant decrease in separation efficiency. 9 - 13 PLANT DESIGN - Daniel R. Lewin Separation Tower Design n Tray Performance Constraints Weeping/Dumping Caused by excessively low vapor flow. The pressure exerted by the vapor is insufficient to hold up the liquid on the tray. Therefore, liquid starts to leak through perforations. Excessive weeping will lead to dumping - the liquid on all trays will crash (dump) through to the base of the column (via a domino effect) and the column will have to be re-started. Weeping is indicated by a sharp pressure drop in the column and reduced separation efficiency. 9 - 14 7 PLANT DESIGN - Daniel R. Lewin Separation Tower Design Daniel R. Lewin, Technion LECTURE NINE 054410 PLANT DESIGN n Tray Performance Constraints Downcomer Flooding Caused by excessively high liquid flow and/or a mismatch between the liquid flow rate and the downcomer area. This can be avoided by ensuring that the downcomer back-up (level) is below 50% of the tray spacing. This can be checked by performing tray sizing using a process simulator. If necessary, design multipass trays (see later). 9 - 15 PLANT DESIGN - Daniel R. Lewin Separation Tower Design o Tray Efficiency Estimation The actual number of trays required for a particular separation duty is determined by the efficiency of the plate. Any factors that cause a decrease in tray efficiency will also change the performance of the column. Tray efficiencies are affected by fouling, wear and tear and corrosion, and the rates at which these occur depends on the properties of the liquids being processed. Thus appropriate materials should be specified for tray construction. 9 - 16 8 PLANT DESIGN - Daniel R. Lewin Separation Tower Design Daniel R. Lewin, Technion LECTURE NINE 054410 PLANT DESIGN o Empirical Efficiency Estimation O’Connell correlation: EO = 0.492 ( µL α ) −0.245 ± 10% µ L = viscosity ⎫⎪ α = relative volatility ⎬ at average column conditions of key component ⎪⎭ 9 - 17 PLANT DESIGN - Daniel R. Lewin Separation Tower Design Example 1: Tray Efficiency Calculation Estimate the tray efficiency for the simulated column shown in the table below. α LH = 1.945 9 - 18 9 PLANT DESIGN - Daniel R. Lewin Separation Tower Design Daniel R. Lewin, Technion LECTURE NINE 054410 PLANT DESIGN Example 1: Tray Efficiency Calculation Solution. The average column temperature is (70 + 309)/2 = 190 oF. The closest match to this temperature is at stage 8, at which the viscosity is 0.133 cP (note that the viscosity does not change all that much over the entire column). Hence, EO = 0.492 ( µL α ) −0.245 = 0.492 ( 0.133 × 1.945 ) −0.245 = 0.69 Given that the estimate is subject to ±10% error, a reasonable estimate would be 0.62. Thus, the total number of trays will be: ⎧29 × 7 18 = 11 trays in the rectifying section 18/0.62 = 29 trays ⎨ ⎩29 × 11 18 = 18 trays in the stripping section 9 - 19 PLANT DESIGN - Daniel R. Lewin Separation Tower Design p Tray Section Capacity Defining column diameter. Most of the factors that affect column operation are due to vapor flow conditions: either excessive or too low. Vapor flow velocity is dependent on column diameter. Weeping determines the minimum vapor flow required while flooding determines the maximum vapor flow allowed, hence column capacity. If the column diameter is not sized properly, the column will not perform well. Not only will operational problems occur, the desired separation duties may not be achieved. 9 - 20 10 PLANT DESIGN - Daniel R. Lewin Separation Tower Design Daniel R. Lewin, Technion LECTURE NINE 054410 PLANT DESIGN p Estimating Flooding Velocity The flooding velocity is computed based on a force balance on a suspended liquid droplet. This is the critical velocity at which liquid droplets become suspended, a result of a perfect balance between gravitational, buoyant and drag forces (Sounders and Brown, 1934): drag ( ) πd 3 ρL 6p g gravity ( ) ( ) πd 2 πd 3 u2 − ρG 6p g − CD 4p f ρG = 0 2 buoyancy buoyancy drag Solving for flooding velocity: 12 ⎛ ρL − ρG ⎞ ⎟ ⎝ ρG ⎠ uf = C ⎜ 9 - 21 gravity ⎛ 4d p g ⎞ where C = ⎜ ⎟ ⎝ 3CD ⎠ PLANT DESIGN - Daniel R. Lewin uf Separation Tower Design p Estimating Flooding Velocity In practice, C is treated as an empirical parameter determined using experimental data. C = C SB FST FF FHA where CSB is an empirical function of the ratio: FLG = ( L G ) ρG ρL and FST = ( σ 20 ) 0.2 , σ = liquid surface tension [dyne/cm] ⎧1, for non-foaming systems ⎪⎪(e.g., most distillation applications) FF = ⎨ ⎪0.5-0.75, for foaming systems ⎪⎩ (e.g., absorption with heavy oils. 1, for Ah Aa ≥ 0.1 ⎧ FHA = ⎨ ⎩5 ( Ah Aa ) + 0.5, for 0.06 ≤ Ah Aa < 0.1 9 - 22 11 PLANT DESIGN - Daniel R. Lewin Separation Tower Design Daniel R. Lewin, Technion LECTURE NINE 054410 PLANT DESIGN p Estimating Flooding Velocity 12 ⎛ ρL − ρG ⎞ ⎟ ⎝ ρG ⎠ uf = C SB ( σ 20 ) FF FHA ⎜ 0.2 9 - 23 PLANT DESIGN - Daniel R. Lewin Separation Tower Design p Tray Section Capacity Tower inside cross-sectional area, AT, is computed at a fraction f (typically 0.75-0.85) of the vapor flooding velocity, uf : G = (fuf ) (AT − Ad ) ρG (14.10) Substituting AT = π (DT ) 4 into Eq.(14.10) and solving 2 for DT : ⎡ 4G DT = ⎢ ⎢⎣ (fuf ) π (1 − Ad AT ) ρG ⎧0.1 , ⎪ (F − 0.1) , Ad ⎪ = ⎨0.1 + LG AT ⎪ 9 ⎪⎩0.2 , 9 - 24 12 ⎤ ⎥ ⎥⎦ 1/2 (14.11) FLG ≤ 0.1 ⎫ ⎪ ⎪ 0.1 ≤ FLG ≤ 1.0 ⎬ FLG = ( L G ) ρG ρL ⎪ FLG ≥ 1.0 ⎪⎭ PLANT DESIGN - Daniel R. Lewin Separation Tower Design Daniel R. Lewin, Technion LECTURE NINE 054410 PLANT DESIGN p Selection of Multipass Trays 9 - 25 PLANT DESIGN - Daniel R. Lewin Separation Tower Design Example 2: Tray Diameter Calculation Compute the diameter of a valved-distillation column with the following data - Liquid phase: = 7.1 dyne/cm, L = 215,000 lb/hr, ρL =32.4 lb/ft3, Vapor phase: G = 244,000 lb/hr, ρG =1.095 lb/ft3. Solution. FLG = (215,000/244,000)(1.095/32.4)0.5 = 0.162 9-23 , for 24” tray spacing, CSB = 0.09 m/s From Slide slide 9-23 FF = 1 (no foaming), FHA = 1 (valves), so: 32.24 − 1.095 = 0.39 m/s = 4,610 ft/hr 1.095 − 0.1 ) 9 = 0.107. Assuming operation at 80% flooding: Uf = 0.09 ( 7.1 20 ) Ad AT = 0.1 + (FLG 0.2 (1 )(1 ) 1/2 ⎡ ⎤ 4 (244, 000 ) DT = ⎢ ⎥ = 9.3 ft ⎣ 0.8 ( 4, 610 ) π (1 − 0.107 ) 1.095 ⎦ Note: (a) In general, diameters in rectifier and stripper may differ. (b) If DT < 2 ft, use a packed column. 9 - 26 13 PLANT DESIGN - Daniel R. Lewin Separation Tower Design Daniel R. Lewin, Technion LECTURE NINE 054410 PLANT DESIGN Example 2: Tray Diameter Calculation For this large diameter column, we should consider installing a multipass tray. Recall from data: L = 215,000 lb/hr and ρL =32.4 lb/ft3 = 4.33 lb/gal Volumetric flow rate = (215,000/60 ) / 4.33 = 828 gpm 9.3 828 9 - 27 PLANT DESIGN - Daniel R. Lewin Separation Tower Design Example 3: Tray Diameter Calculation Compute the tray diameter for the simulated column shown in 9-18 . Assume valve trays and light the table on Slide slide 9-18 hydrocarbon service. FF = 1 (no foaming), FHA = 1 (valves) Solution. The first thing we need to do is to identify the critical tray in both the rectifier and stripping sections, defined as the trays in which the loads for each section are maximized. Rectifier Section - based on Stage 3 Stripper Section - based on stage 19 9 - 28 14 PLANT DESIGN - Daniel R. Lewin Separation Tower Design Daniel R. Lewin, Technion LECTURE NINE 054410 PLANT DESIGN Example 3: Tray Diameter Calculation Rectifier Section (based on Stage 3). FLG = (85,360/121,184)(2.478/27.944)0.5 = 0.2098 Uf = 0.21 (3.3 20 ) 0.2 (1 )(1 ) 27.979 − 2.478 = 0.47 m/s = 5,551 ft/hr 2.478 Ad AT = 0.1 + (FLG − 0.1 ) 9 = 0.112. Assuming operation at 80% flooding: 1/2 ⎡ ⎤ 4 (121,184 ) DT,R = ⎢ ⎥ = 3.97 ft ⎣ 0.8 ( 5, 551 ) π (1 − 0.112 ) 2.478 ⎦ Stripper Section (based on stage 19). FLG = (185,434/129,112)(3.614/27.191)0.5 = 0.5236 Uf = 0.16 (2.84 20 ) 0.2 27.191 − 3.614 = 0.277 m/s = 3,272 ft/hr 3.614 1/2 ⎡ ⎤ 4 (129,112 ) =⎢ ⎥ = 5.40 ft ⎣ 0.8 (3,272 ) π (1 − 0.117 ) 3.614 ⎦ (1 )(1 ) Ad AT = 0.147. Hence, DT,S Since the difference more than 20%, note that the rectifier diameter is 4 ft and the stripper is 5.5 ft (to nearest ½’). 9 - 29 PLANT DESIGN - diameter Daniel R. Lewin Separation Tower Design p Estimating Column Pressure Drop Typically, tray pressure drop for flow of vapor in a tower is between 0.05-0.15 psi/tray. For a sieve tray, the head loss is due to the friction for vapor flow through the tray perforations, the holduo of the liquid, and the loss due to surface tension: ht = hd + hA + hσ ht = total pressure drop [in] hd = dry tray pressure drop [in] hA = equivalent head on tray [in] hσ = pressure drop due to s.t. [in] 9 - 30 15 PLANT DESIGN - Daniel R. Lewin Separation Tower Design Daniel R. Lewin, Technion LECTURE NINE 054410 PLANT DESIGN p Estimating Column Pressure Drop Dry sieve tray pressure drop is computed using a modified orifice equation: ⎛ uo2 ⎞ ⎛ ρG ⎞ ⎟ 2 ⎟⎜ ⎝ C o ⎠ ⎝ ρL ⎠ hd = 0.186 ⎜ u0 = hole velocity [ft/s] C 0 − depends on percent hole area and the ratio of tray thickness to hole diameter. Range: 0.65-0.85. Typical value: 0.73. 9 - 31 PLANT DESIGN - Daniel R. Lewin Separation Tower Design p Estimating Column Pressure Drop Equivalent height of clear liquid holdup on tray: 23 ⎡ ⎛ q ⎞ ⎤ hA = φe ⎢hw + C ⎜ L ⎟ ⎥ ⎢⎣ ⎝ Lw φe ⎠ ⎥⎦ hw = weir height [in] φe = effective relative froth density (ht. of clear liquid/froth height) = exp ( −4.257KS0.91 ) ⎛ 12 ρG ⎞ ⎟ ⎝ ρL − ρG ⎠ = superficial vapor velocity [ft/s] based on active bubbling area, Aa = AT − Ad = weir length [in] (for Ad AT = 0.1, taken as 73% of DT ) = liquid flow rate across tray [gal/min] = 0.362 + 0.317 exp ( −3.5hW ) KS = capacity parameter [ft/s] = ua ⎜ ua Aa LW qL C 9 - 32 16 PLANT DESIGN - Daniel R. Lewin Separation Tower Design Daniel R. Lewin, Technion LECTURE NINE 054410 PLANT DESIGN p Estimating Column Pressure Drop As the gas emerges from the tray perforations, the bubbles must overcome surface tension. The pressure drop due to the surface tension is given by the difference between the pressure inside the bubble and that due to the liquid: 6σ hσ = g ρLDB (max ) Generally, the maximum bubble diameter, DB(max), may be taken as the tray hole diameter. 9 - 33 PLANT DESIGN - Daniel R. Lewin Separation Tower Design Example 4: Estimating Tray ∆P Estimate the tray vapor pressure drop for a 1m diameter absorber equipped with sieve trays. Given: hw = 2”, DH = 3/16” Liquid phase: σ = 70 dyne/cm, L = 2,883 kg/hr, ρL = 986 kg/m3 Vapor phase: G = 7,920 kg/hr, ρG = 1.92 kg/m3. Solution. At the bottom of the tower, vapor velocity based on the total cross-sectional area of the tower is: 7, 920 3, 600 2 (1.92) π (1 ) 4 = 1.46 m/s For a 10% hole area, based on total cross-section of the tower: 1.46 u0 = = 14.6 m/s = 47.9 ft/s 0.1 ⎛ 47.92 ⎞ ⎛ 1.92 ⎞ Hence, hd = 0.186 ⎜ ⎟ = 1.56" 2 ⎟⎜ ⎝ 0.73 ⎠ ⎝ 986 ⎠ 9 - 34 17 PLANT DESIGN - Daniel R. Lewin Separation Tower Design Daniel R. Lewin, Technion LECTURE NINE 054410 PLANT DESIGN Example 4: Estimating Tray ∆P Solution (cont’d). Taking weir length as 73% of DT gives LW = 0.73 m = 28.7” 2, 883 60 = 12.9 gpm 986 × 0.003785 Liquid flow rate in gpm, qL = Ad/AT = 0.1, Aa/AT = 0.9, so ua = 1.46/0.9 = 1.62 m/s = 5.32 ft/s. ⇒ KS = ua ( ρG ( ρL − ρG ) ) 12 ⇒ φe = exp ( −4.257KS 0.91 = 0.235 ft/s ) = 0.32 C = 0.362 + 0.317 exp ( −3.5hW ) = 0.362 23 Hence, hA = φe ⎡hw + C (qL ( Lw φe ) ) ⎤ = 0.67 " ⎣ ⎦ 9 - 35 PLANT DESIGN - Daniel R. Lewin Separation Tower Design Example 4: Estimating Tray ∆P Solution (cont’d). Assuming DB(max) = DH = 3/16” = 0.00476 m σ = 70 dynes/cm = 0.07 N/m = 0.07 kg/s2 and g = 9.8 m/s2 Hence, hσ = 6σ g ρLDB (max ) = 0.000913 m = 0.36" Thus, total head loss/tray, ht = hd + hA + hσ = 1.56 + 0.67 + 0.36 = 2.59" Recalling that ρL = 986 kg/m3 = 0.0356 lb/in3 Thus, the tray vapor pressure drop = htρL = 0.092 psi 9 - 36 18 PLANT DESIGN - Daniel R. Lewin Separation Tower Design Daniel R. Lewin, Technion LECTURE NINE 054410 PLANT DESIGN q Complete Column Sizing Disengagement 4 ft Rectifying Section 2×Nr ft Dr ft Stripping Section 2×Ns ft Ds ft Skirt ≥ 10 ft 9 - 37 Sump Maximum height of column = 175’, Maximum L/D ratio = 30 PLANT DESIGN - Daniel R. Lewin Separation Tower Design q ASME Pressure Vessel Code In the absence of wind and earthquake conditions and excluding vacuum operation: 12Pd ⋅ DI Tp = (16.60) 2 ⋅ S ⋅ E − 1.2 ⋅ Pd Tp = wall thickness [in] to withstand internal pressure Pd = internal design pressure [psig] DI = inside shell diameter [ft] S = maximum allowable stress at design temp. [psig] E = weld integrity (E = 0.85 for wall thicknesses < 1.25". A value of 1 is used for thicknesses more than 1.25") Conditions S (psig) CS SA-285, grade C 13,750 -20-750 oF with H2 1%Cr, 0.5%Mo Steel, SA-387B 15,000 to 800 oF with H2 1%Cr, 0.5%Mo Steel, SA-387B 14,750 oF 1%Cr, 0.5%Mo Steel, SA-387B 13,100 to 900 9 - 38 19 Recommended material -20-650 oF no H2 with H2 PLANT DESIGN - Daniel R. Lewin Separation Tower Design Daniel R. Lewin, Technion LECTURE NINE 054410 PLANT DESIGN q ASME Pressure Vessel Code For vertical vessels, the vessel walls need to withstand wind load, computed using: 0.22 (Do + 18 ) L2 Tw = 2 SDo where Do is outside shell diameter (inches), L is vessel height (tangent to tangent length, in inches), and the factor of 18 allows for the column cage ladders, which adds additional effective diameter to the column. When there is wind load, the girth seam must withstand the combined load of the wind and the internal pressure, the latter computed using: 12Pg DI Tg = 2SE + 0.4Pg An estimate for the required wall thickness at the bottom of the tower is then: Tb = Tw + Tg 9 - 39 PLANT DESIGN - Daniel R. Lewin Separation Tower Design q ASME Pressure Vessel Code To estimate the vessel thickness (assumed constant), use the average of the top and bottom thicknesses, plus the corrosion allowance, Tc, usually 0.125". Thus the values of wall thickness are computed as follows: HORIZONTAL VESSELS. Ts =Tp +Tc VERTICAL VESSELS. Ts = 0.5 (Tb +Tp ) +Tc 9 - 40 20 PLANT DESIGN - Daniel R. Lewin Separation Tower Design Daniel R. Lewin, Technion LECTURE NINE 054410 PLANT DESIGN q ASME Pressure Vessel Code At low pressures, wall thickness computed using the above equations may be too small to give sufficient rigidity to vessels. The minimum wall thickness below should be used. DI [ft] Up to 4 4-6 6-8 8-10 10-12 Minimum value for tp [in] 1/4 5/16 3/8 7/16 1/2 Finally, the values computed need to be rounded up to the nearest standard plate thickness, as given by the table below: Ts up to [in] 1 2 3 >3 9 - 41 Rounding increment [in] 1/32 1/16 1/8 1/4 PLANT DESIGN - Daniel R. Lewin Separation Tower Design Example 5: Wall Thickness Calculation Compute the wall thickness for a distillation column with height 175 ft and inside diameter 10 ft. The operating pressure is 110 psia and 150 oF at the bottom of the tower and 100 psia and 120 oF at the top. Material of construction is CS. Solution. Design basis: Pd = 1.2×max P = 1.30×(110-14.7) = 123 psig Td = max T + 50 oF = 200 oF. Using Eq. (16.60) assuming CS shell: 120 × 123 Tp = = 0.635" 2 × 13,750 × 0.85 − 1.2 × 123 The vessel thickness at the bottom of the tower is: 0.22 (10 × 12 + 18 ) 1752 123 × 10 × 12 Tb = + = 1.21" 2 13, 750 × 10 2 × 13, 750 × 1.0 + 0.4 × 123 ( ) Thus: Ts = 0.5 Tb +Tp +Tc = 0.5 (1.21 + 0.635 ) + 0.125 = 1.049" Rounding up, this gives Ts = 1.0625” (1 1/16”) 9 - 42 21 PLANT DESIGN - Daniel R. Lewin Separation Tower Design Daniel R. Lewin, Technion LECTURE NINE 054410 PLANT DESIGN Summary After reviewing the materials of this lecture, you should be: n Familiar with the constraints affecting the performance of trayed distillation column. o Able to estimate the efficiency of a trayed distillation column. p Able to compute the optimal diameter of a trayed distillation column. q Able to define all of the dimensions of a distillation column, including the minimum wall thickness. 9 - 43 22 PLANT DESIGN - Daniel R. Lewin Separation Tower Design Daniel R. Lewin, Technion