Document BmQdQoNNe9yQawmg6Q80qLNj

374 CHAPTER 26 1960 Guide jtif s V rW P ./ HOCN or m o. y~ m ZEE / *N 1 \ \ CLAMCD TIUC-MIMUTtS Fig. 21.... Relation Between Elapsed Time, Steam Pressure, Condensate and Air Elimination Rates rate is obtained when the system steam pressure is lower than that existing during a period of constant condensing rate. It will also be noted that the peak rate of air elimina tion does not coincide with the higher condensing rate. Steam Row Table 2.... Pressure Drops in Common Use for Sizing Steam Pipe* (For Corresponding Initial Sfooo Preoarer) initial Stoato Prastoto, Pag ftroxatro Drop For 100 Ft, Pel Total Ptoauro Drop in Stoaa Soppfy Piping, Pa Subatmos. or 1 vacuum return/ 0 l 2 5 10 2-4 oz 2 os 2 oz 4 oz 8 os 1-2 psi 1 oz 1-4 oz 8 03 IX psi 3 psi 15 1 psi 4 psi 30 2 psi 5-10 psi 50 2-5 psi 10-15 psi 100 2-5 psi 15-25 psi 150 2-10 psi 25-30 psi i* Equipment, control volvon, ate., must ba selected on the basis c delivered The rate of flow of dry steam, or steam with a amount of water Sowing in the same direction, is in ac cordance with the general laws of gas flow, and is a func tion of the length and diameter of the pipe, the density of the steam, and the pressure drop through the pipe. This rela tionship, developed by Unwin and later by Babcock, has been used for years as a means of determining steam flow through pipes. The new charts for weight-flow rate, pres sure drop, and velocity presented in this chapter take into account the Reynolds number and its effect on friction loss, two items which were not considered when using the Un win or Babcock formulas. The data presented in Figs. 22, 23, 24, 25, 26 and Table 5, in later sections of this chapter, are based on the Moody Friction Factor where the absolute roughness of the internal pipe surface is that of new commercial steel or wrought iron. The Reynolds number, as expressed' by Equation 9, Chap ter 4, is (1) tohere V s velocity of the steam, feet per second, d -- internal diameter of the pipe, feet. p density of saturated steam at a specified saturation pressure, pounds per cubic foot. p -- absolute viscosity, pounds per foot-second. The velocity is determined by the equation W V 3600p A (2) where W = given weight-flow rate, pounds per hour. A = internal pipe area, square feet. The values used for the absolute viscosity of saturated steam are those of Lieb, published in Combustion, Decem ber, 1940. The relative roughness of the internal pipe surface is obtained by dividing the absolute surface roughness by the internal pipe diameter. The values for absolute rough ness are those presented by L. F. Moody in Mechanical Engineering, Vol. 69, 1947, p. 1005, and appear in Table 1, Chapter 4. From the Reynolds number and relative rough ness, the friction factor / is obtained from the Moody Fric tion Factor Chart, Fig. 4 of Chapter 4. The head loss in feet is given by the equation fLV* 2gd (3) where / = friction factor. h -- length of pipe (100 ft). g ** acceleration due to gravity, 32.174 feet per (second) (second). Table 3----- Comparative Capacity of Steam Lines at Various Fitches for Steam and Condensate Flowing in Opposite Directions* (Pitch of Pipe in tneho* por 10 Ft. Volodty bi Ft par Soe) Pitch of Pipe.. X X m. 1 in. 2 in. 3 m. 4 In. J in. Copoc- Max. Capac- Mon. Copoc- Max. Capac- Max. Copoc- Max. Copoc Max. Copoc- Max. Copoc- Max. *y *Y ity VeL *Y Vol. iff Vol. tr VoL *r Voi. Capacity Expressed in Pounds per Hour K 6.3 12 7.6 14 9.3 18 10.1 19 10.6 20 11.5 21 11.9 22 12.3 23 11.5 12 13.2 15 15.8 17 17.5 20 18.8 22 20.8 23 22.0 25 22.6 26 Wo 26.2 18 29.3 20 33.3 23 36.1 25 38.5 27 41.3 28 43.2 29 44.6 ix 35.7 18 39.8 21 45.3 23 49.1 25 52.3 27 56.0 28 58.7 30 60.7 31 2 59.0 19 65.9 20 74.9 23 81.4 25 86.6 27 92.4 28 97.1 29 100.3 30 * From Toi Amemca* Socirrr or Humra. RmigiutMo akd Aio-Coiromowwo Eirourena Rarereb Lbortory. Steam Heating Systems 375 The pressure drop in psi per 100 ft of pipe is pAh AP 144 (4) Pipe Sizes The determination of pipe sizes for a given load in steam hating depends on the following principal factors: 1 The initial pressure and the total pressure drop which may be allowed between the source of supply and at the end of the return system. 2. The maximum velocity of steam allowable for quiet and dependable operation of the system, taking into consideration the direction of condensate flow. 3. The equivalent length of the run from the boiler or source of supply to the farthest heating unit. 4. The direction of flow of the condensate, whether against or with the steam. Initial Pressure and Pressure Drop Theoretically, there are several factors to be considered such as initial pressure and pressure required at the end of the line, but it is most important that: (1) the total pressure drop does not exceed the initial gage pressure of the system, and in actual practice it should never exceed one-half of the initial gage pressure; (2) the pressure drop is not so great as to cause excessive velocities'; (3) there is a constant initial pressure, except on systems specially designed for varying initial pressures, such as the subatmospheric, which normally operate under controlled partial vacuums, and orifice and vapor systems, which at times operate under such partial vacuums as may be obtained due to the condition of the fire; and (4) the rise in water due to pressure drop does not ex ceed the difference in level, for gravity return systems, be tween the lowest point on the steam main, the heating units, or the dry-return, and the boiler water line. Table 2 lists pressure drops in common use with .corre sponding initial steam pressures for sizing steam piping. It is common practice to limit the total drop in the supply piping to approximately l/i of the initial pressure. The allow able pressure per 100 ft is thereby determined by the equiva lent length. Designers may utilize total pressure drops up to Vi the initial pressure when steam velocities and operating pressure requirements of the selected equipment will per mit. For initial pressures of 30 psig and higher many de signers prefer to size steam piping on the velocity method. The total pressure drop should never exceed one-half of the initial gage presure when condensate is flowing in the same direction as the steam. Where the condensate must flow counter to the steam, the governing factor is the veloc ity permissible without interfering with the condensate flow. ASHRAE Research Laboratory experiments limit this to the capacities given in Table 3 for horizontal pipes at various grades. Maximum Velocity The capacity of a steam pipe in any part of a steam sys tem depends upon the quantity of condensate present, the direction in which the condensate is flowing, and the pres sure drop in the pipe. Where the quantity of condensate is limited and is flowing in the same direction as the steam, only the pressure drop need be considered. When the conden sate must flow against the steam, even in limited quantity, the velocity of the steam must not exceed limits above which the disturbance between the steam and the counter flowing water may produce objectionable sounds, such as water hammer, or may result in the retention of water in Table A .... length m Feet of Pipe to be Added to Actual length of Run--Owing to Fittings--To Obtain Equivalent length length in Foot to be Added to Ran Size of Pipe Me* Standard Bbow Sido Outlet Trob Got* Volvo* Globe Volve* Volvo* X H 1.3 3 0.3 14 7 1.8 4 0.4 18 10 l 2.2 5 0.5 23 12 IX 3.0 6 0.6 29 15 ix 2 3.5 7 0.8 34 18 4.3 8 1.0 46 22 2X 3 5.0 11 1.1 54 27 6.5 13 1.4 66 34 3X 4 8 15 1.6 80 40 9 18 1.9 92 45 5 11 22 2.2 112 56 6 13 27 2.8 136 67 8 17 35 3.7 180 92 10 21 45 4.6 230 112 12 27 53 5.5 270 132 14 30 63 6.4 310 152 * VaIvb id hill open Position. b Values givoa apply only to a tee need to divert the flow in the main to the last riser. Example erf length in teet of pipe to be added to actual length of run. -LAST RISER OR , RADIATOR Measured Length -- 193.0 ft 4 in-Gate Valve " 1.9 ft 4-4 in. Elbows -- 98.0 ft M in. Tees - 9S.0 ft Equivalent -- 905.9 ft certain parts of the system until the steam flow is reduced sufficiently to permit the water to pass. The velocity at which such disturbances take place is a function of (1) the pipe size, whether the pipe runs horizontally or vertically; (2) the pitch of the pipe if it runs horizontally; (3) the quantity of condensate flowing against the steam; and (4) freedom of the piping from water pockets which under cer tain conditions act as a restriction in pipe size. Reaming Important It is extremely important that the ends of all pipe be reamed or filed. This insures full pipe area and minimizes disturbance of the steam or condensate stream. Equivalent Length of Run All tables for the flow of steam in pipes, based on pres sure drop, must allow for the friction offered by the pipe, as well as for the additional resistance of the fittings and valves. These resistances generally are stated in terms of straight pipe; in other words, a certain fitting will produce a drop in pressure equivalent to the stated number of feet of straight run of the same size of pipe. Table 4 gives the num ber of feet of straight pipe usually allowed for the more common types of fittings and valves. In all pipe sizing tables in this chapter the length of run refers to the equivalent length of run as distinguished from the actual length of pipe