Packed Bed flooding.pdf - Youngstown State University's Personal ...

Packed Bed flooding.pdf - Youngstown State University's Personal ... Packed Bed flooding.pdf - Youngstown State University's Personal ...

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When Z is large or Γ/ρB F is so small that liquid penetration is complete, and k� = 11.800 D�/BF H � = 0.95 ΓB F/D � OTHER TOPICS FOR DISTILLATION AND GAS ABSORPTION EQUIPMENT 14-85 (14-174) (14-175) A comparison of experimental data for carbon dioxide absorption obtained by Hatta and Katori (op. cit.), Grimley [Trans. Inst. Chem. Eng., 23, 228 (1945)], and Vyazov [Zh. Tekh. Fiz. (U.S.S.R.), 10, 1519 (1940)] and for absorption of oxygen and hydrogen by Hodgson (S.M. thesis, Massachusetts Institute of Technology, 1949), Henley (B.S. thesis, University of Delaware, 1949), Miller (B.S. thesis, University of Delaware, 1949), and Richards (B.S. thesis, University of Delaware, 1950) was made by Sherwood and Pigford (Absorption and Extraction, McGraw-Hill, New York, 1952) and is indicated in Fig. 14-79. In general, the observed mass-transfer rates are greater than those predicted by theory and may be related to the development of surface rippling, a phenomenon which increases in intensity with increasing liquid path. Vivian and Peaceman [Am. Inst. Chem. Eng. J., 2, 437 (1956)] investigated the characteristics of the CO 2-H 2O and Cl 2-HCl, H 2O system in a wetted-wall column and found that gas rate had no effect on the liquid-phase coefficient at Reynolds numbers below 2200. Beyond this rate, the effect of the resulting rippling was to increase significantly the liquid-phase transfer rate. The authors proposed a behavior relationship based on a dimensional analysis but suggested caution in its application concomitant with the use of this type of relationship. Cognizance was taken by the authors of the effects of column length, one to induce rippling and increase of rate of transfer, one to increase time of exposure which via the penetration theory decreases the average rate of mass transfer in the liquid phase. The equation is k�h � D� = 0.433� � 1/2 µ� � ρ�D� � � 1/6 � � 0.4 2 3 ρ� gh 4Γ � µ� 2 where D � = diffusion coefficient of solute in liquid, ft 2 /h g = gravity-acceleration constant, 4.17 � 10 8 ft/h 2 h = length of wetted wall, ft k � = mass-transfer coefficient, liquid phase, ft/h � µ� (14-176) TABLE 14-17 Relative Fabricated Cost for Metals Used in Tray-Tower Construction* Relative cost per ft2 of tray area (based on Materials of construction carbon steel = 1) Sheet-metal trays Steel 1 4–6% chrome—a moly alloy steel 2.1 11–13% chrome type 410 alloy steel 2.6 Red brass 3 Stainless steel type 304 4.2 Stainless steel type 347 5.1 Monel 7.0 Stainless steel type 316 5.5 Inconel 8.2 Cast-iron trays 2.8 *Peters and Timmerhaus, Plant Design and Economics for Chemical Engineers, 4th ed., McGraw-Hill, New York, 1991. To convert cost per square foot to cost per square meter, multiply by 10.76. Γ=mass rate of flow of liquid, lb/(h)(ft of periphery) µ � = viscosity of liquid, lb/(ft)(h) ρ� = density of liquid, lb/ft 3 The equation is dimensionless. The effect of chemical reaction in reducing the effect of variation of the liquid rate on the rate of absorption in the laminar-flow regime was illustrated by the evaluation of the rate of absorption of chlorine in ferrous chloride solutions in a wetted-wall column by Gilliland, Baddour, and White [Am. Inst. Chem. Eng. J., 4, 323 (1958)]. Flooding in Wetted-Wall Columns When gas and liquid are in counterflow in wetted-wall columns, flooding can occur at high gas rates. Methods for calculating this flood are given in “Upper Limit Flooding in Vertical Tubes.” In the author’s experience, Eq. (14-204) has had an excellent track record for calculating flooding in these columns. COLUMN COSTS Estimation of column costs for preliminary process evaluations requires consideration not only of the basic type of internals but also of their effect on overall system cost. For a distillation system, for example, the overall system can include the vessel (column), attendant structures, supports, and foundations; auxiliaries such as reboiler, condenser, feed heater, and control instruments; and connecting piping. The choice of internals influences all these costs, but other factors influence them as well. A complete optimization of the system requires a full-process simulation model that can cover all pertinent variables influencing economics. Cost of Internals Installed costs of trays may be estimated from Fig. 14-80, with corrections for tray material taken from Table 14-17. For two-pass trays the cost is 15 to 20 percent higher. Approximate costs of random packing materials may be obtained from Table 14-18, but it should be recognized that, because of competition, there can be significant variations in these costs from vendor to vendor. Also, packings sold in very large quantities carry discounts. In 1995, costs of structured packings, made from sheet metal, averaged $90 to $110 per cubic foot, but the need for special distributors and redistributors can double the cost of structured-packings on a volumetric basis. Note TABLE 14-18 January 1990 Costs of Random Packings, Uninstalled, Prices in dollars per ft3 , 100 ft3 orders, f.o.b. manufacturing plant Size, in, $/ft3 1 1a2 3 Raschig rings Chemical porcelain 12.8 10.3 9.4 7.8 Carbon steel 36.5 23.9 20.5 16.8 Stainless steel 155 117 87.8 — Carbon Intalox saddles 52 46.2 33.9 31.0 Chemical stoneware 17.6 13.0 11.8 10.7 Chemical porcelain 18.8 14.1 12.9 11.8 Polypropylene Berl saddles 21.2 — 13.1 7.0 Chemical stoneware 27.0 21.0 — — Chemical porcelain Pall rings 33.5 21.5 15.6 — Carbon steel 29.3 19.9 18.2 — Stainless steel 131 99.0 86.2 — Polypropylene 21.2 14.4 13.1 Peters and Timmerhaus, Plant Design and Economics for Chemical Engineers, 4th ed., McGraw-Hill, New York, 1991. To convert cubic feet to cubic meters, multiply by 0.0283; to convert inches to millimeters, multiply by 25.4; and to convert dollars per cubic foot to dollars per cubic meter, multiply by 35.3.

14-86 EQUIPMENT FOR DISTILLATION, GAS ABSORPTION, PHASE DISPERSION, AND PHASE SEPARATION Installed cost, dollars/tray 10 4 10 3 10 2 Quantity factors apply to all types of trays Bubble-cap trays (stainless steel) that for Fig. 14-80 and Table 14-17, the effective cost date is January 1990, with the Marshall and Swift cost index being taken as 904. As indicated above, packed column internals include liquid distributors, packing support plates, redistributors (as needed), and holddown plates (to prevent movement of packing under flow conditions). Costs of these internals for columns with random packing are given in Fig. 14-81, based on early 1976 prices, and a Marshall and Swift cost index of 460. 1 2 3 4 5 6 7 3.00 2.80 2.65 2.50 2.30 2.15 2.00 8 9 10 11 12 13 14 1.80 1.65 1.50 1.45 1.40 1.35 1.30 15 16 17 18 19 20 30 40+ 29 39 Valve trays (stainless steel) 1.25 1.20 1.15 1.10 1.05 1.00 0.98 0.97 Stamped turbogrid trays (stainless steel) Valve trays (carbon steel) Sieve trays (stainless steel) Sieve trays (carbon steel) or Bubble-cap trays (carbon steel) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Tower diameter, ft FIG. 14-80 Cost of trays. Price includes tray deck, valves, bubble caps, risers, downcomers, and structural-steel parts. The stainless steel designated is type 410 (Peters and Timmerhaus, Plant Design and Economics for Chemical Engineers, 4th ed., McGraw-Hill, New York, 1991). GENERAL REFERENCES: For an overall discussion of gas-liquid breakup processes, see Brodkey, The Phenomena of Fluid Motions, Addison-Wesley, Reading, Massachusetts, 1967. For a discussion of atomization devices and how they work, see Masters, Spray Drying Handbook, 5th ed., Wiley, New York, 1991; and Lefebvre, Atomization and Sprays, Hemisphere, New York, 1989. A beautifully illustrated older source is Dombrowski and Munday, Biochemical and Biological Engineering Science, vol. 2, Academic Press, London, 1968, pp. 209–320. Steinmeyer [Chem. Engr. Prog., 91(7), 72–80 (1995)] built on Hinze’s work with turbulence and showed that several atomization processes follow the common theme of breakup of large droplets due to turbulence in the gas phase. Turbulence in turn correlates with power dissipation per unit mass. In the text below, correlations referring to power/mass are taken from this source. For a survey on fog formation, see Amelin, Theory of Fog Formation, Israel Program for Scientific Translations, Jerusalem, 1967. PHASE DISPERSION Cost of Column The cost of the vessel, including heads, skirt, nozzles, and ladderways, is usually estimated on the basis of weight. Figure 14-82 provides early 1990 cost data for the shell and heads, and Fig. 14-83 provides 1990 cost data for connections. For very approximate estimates of complete columns, including internals, Fig. 14-84 may be used. As for Figs. 14-82 and 14-83, the cost index is 904. BASICS OF INTERFACIAL CONTACTORS Steady-State Systems: Bubbles and Droplets Bubbles are made by injecting vapor below the liquid surface. In contrast, droplets are commonly made by atomizing nozzles that inject liquid into a vapor. Bubble and droplet systems are fundamentally different, mainly because of the enormous difference in density of the injected phase. There are situations where each is preferred. Bubble systems tend to have much higher interfacial area as shown by Example 16 contrasted with Examples 14 and 15. Because of their higher area, bubble systems will usually give a closer approach to equilibrium.

14-86 EQUIPMENT FOR DISTILLATION, GAS ABSORPTION, PHASE DISPERSION, AND PHASE SEPARATION<br />

Installed cost, dollars/tray<br />

10 4<br />

10 3<br />

10 2<br />

Quantity factors apply to all types of trays<br />

Bubble-cap trays<br />

(stainless steel)<br />

that for Fig. 14-80 and Table 14-17, the effective cost date is January<br />

1990, with the Marshall and Swift cost index being taken as 904.<br />

As indicated above, packed column internals include liquid distributors,<br />

packing support plates, redistributors (as needed), and holddown<br />

plates (to prevent movement of packing under flow conditions). Costs of<br />

these internals for columns with random packing are given in Fig. 14-81,<br />

based on early 1976 prices, and a Marshall and Swift cost index of 460.<br />

1<br />

2<br />

3<br />

4<br />

5<br />

6<br />

7<br />

3.00<br />

2.80<br />

2.65<br />

2.50<br />

2.30<br />

2.15<br />

2.00<br />

8<br />

9<br />

10<br />

11<br />

12<br />

13<br />

14<br />

1.80<br />

1.65<br />

1.50<br />

1.45<br />

1.40<br />

1.35<br />

1.30<br />

15<br />

16<br />

17<br />

18<br />

19<br />

20<br />

30<br />

40+<br />

29<br />

39<br />

Valve trays<br />

(stainless steel)<br />

1.25<br />

1.20<br />

1.15<br />

1.10<br />

1.05<br />

1.00<br />

0.98<br />

0.97<br />

Stamped turbogrid<br />

trays (stainless steel)<br />

Valve trays<br />

(carbon steel)<br />

Sieve trays<br />

(stainless steel)<br />

Sieve trays<br />

(carbon steel)<br />

or<br />

Bubble-cap trays<br />

(carbon steel)<br />

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15<br />

Tower diameter, ft<br />

FIG. 14-80 Cost of trays. Price includes tray deck, valves, bubble caps, risers, downcomers, and structural-steel<br />

parts. The stainless steel designated is type 410 (Peters and Timmerhaus, Plant Design and Economics for Chemical<br />

Engineers, 4th ed., McGraw-Hill, New York, 1991).<br />

GENERAL REFERENCES: For an overall discussion of gas-liquid breakup<br />

processes, see Brodkey, The Phenomena of Fluid Motions, Addison-Wesley,<br />

Reading, Massachusetts, 1967. For a discussion of atomization devices and how<br />

they work, see Masters, Spray Drying Handbook, 5th ed., Wiley, New York,<br />

1991; and Lefebvre, Atomization and Sprays, Hemisphere, New York, 1989. A<br />

beautifully illustrated older source is Dombrowski and Munday, Biochemical<br />

and Biological Engineering Science, vol. 2, Academic Press, London, 1968, pp.<br />

209–320. Steinmeyer [Chem. Engr. Prog., 91(7), 72–80 (1995)] built on Hinze’s<br />

work with turbulence and showed that several atomization processes follow the<br />

common theme of breakup of large droplets due to turbulence in the gas phase.<br />

Turbulence in turn correlates with power dissipation per unit mass. In the text<br />

below, correlations referring to power/mass are taken from this source. For a<br />

survey on fog formation, see Amelin, Theory of Fog Formation, Israel Program<br />

for Scientific Translations, Jerusalem, 1967.<br />

PHASE DISPERSION<br />

Cost of Column The cost of the vessel, including heads,<br />

skirt, nozzles, and ladderways, is usually estimated on the basis<br />

of weight. Figure 14-82 provides early 1990 cost data for the<br />

shell and heads, and Fig. 14-83 provides 1990 cost data for<br />

connections. For very approximate estimates of complete<br />

columns, including internals, Fig. 14-84 may be used. As for<br />

Figs. 14-82 and 14-83, the cost index is 904.<br />

BASICS OF INTERFACIAL CONTACTORS<br />

Steady-<strong>State</strong> Systems: Bubbles and Droplets Bubbles are<br />

made by injecting vapor below the liquid surface. In contrast,<br />

droplets are commonly made by atomizing nozzles that inject liquid<br />

into a vapor. Bubble and droplet systems are fundamentally different,<br />

mainly because of the enormous difference in density of the<br />

injected phase. There are situations where each is preferred. Bubble<br />

systems tend to have much higher interfacial area as shown by<br />

Example 16 contrasted with Examples 14 and 15. Because of their<br />

higher area, bubble systems will usually give a closer approach to<br />

equilibrium.

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