Document Y5wgyVgxb1ovkV7emV4zJGkK

300 Chapter 15 k'1945 Guide --will-be,-respectively, about 9000rl5;36o,ahdl4,300 milinches. To increase the/A of Circuit 1 from 9000 to 15,000 milinches would require the insertion in the circuit of a section of % in. pipe, or an orifice resistor, or a regulating valve. However, this would cause unnecessary expense. The system will function well with the pipe system shown in Fig. 11. If the circulator maintains a pressure head of 15,300 milinches, the velocity in Circuit 1 will increase until the /A of the circuit is also 15,300 milinches; i. e., its/A will be increased from the calculated 9000 to the required 15,300, or 6300 milinches. As calculated, the three radiators are to dissipate 10, 15, and 20 Mbh, respectively, with a temperature difference of 20 F. Consequently, water must flow through these three radiators at the rates of 1,1.5, and 2 gpm, respectively. When water flows through a in. pipe at the rate of 1 gpm, the velocity in the pipe is (Fig. 3) about 13 in. per second and the unit fh is 165 milinches. The equivalent length of sections 4-10, 10-1 1-11, and 11-9 of this circuit is 50 ft, and its total fh is 8250. In order that the fh may be increased 6300 milinches, the unit fh must be increased 126 milinches; consequently, the velocity in the J'S in. pipe (Fig. 3) must be increased from 13 to 16 in. per second. Hence, when the fh of Circuit .1 has been increased to 15,300, water will flow through Radiator 1 at the rate of 16 -3- 13, or 1.23 gpm. This increase in volume of water will increase the load on the circulating pump in the proportion of 450 to 473 and will increase Circuit . Load ' Mbh 0-1 3600 1-2 3150 2-3 . 2700 3-4 i 2250 4-5 1800 5-6 1350 900 7-8 450 8-16 450 . 16-17 17-18 3600 7200 Table 7, Tabulated Data fob Example 7 Pipe Length Ft 65 130 130 130 130 130 ' 130 130 65 130 Elbows No. 1.8 0 0 0 2 0 0 0 Equivalent Length Ft 78 130 130 130 142 130 130 130 Size In. -6 5 5 5 4 4 3H 2J4 Estimated Friction Head 1.8 78 0 130 6 8 Unit,Friction Total Milinches Friction,- per Ft Milinches 100 7800 180 23,900 150 100 13,000 210 29.800 125 16,200 113 14.700 190 24,700 20,000 100 90 Total 11,670 188,570 the heat dissipation of Radiator 1 slightly (about 3 per cent) but otherwise will not affect the operation of the system. One-Pipe Gravity Circulation System Example s. A one-pipe system is one in which the water flows through more than one radiator before it returns to the boiler to be reheated. A two-pipe system as shown in Figs. 10 and 11 is one in which the water returns to the boiler to be reheated after it has passed through one radiator. Many large heating systems contain some one-pipe and some two-pipe Sections. The piping system shown in Fig. 12 functions with a flow-return temperature difference of 40 F. .- Solution. -Since the four radiators are each to deliver 15 Mbh, and since the water is to leave the boiler at 200 F and return at 160 F, Radiator 1 will receive 200 F water. Radiator 2, 190 F water. Radiator 3, 180 F water, and Radiator 4, 170 F water. Since the system is to supply 60 Mbh with a temperature difference of 40 F and since 1 lb of water liberates 1 Btu when cooled 1 F, it is necessary that water circulate through this system at- the rate of 60,000 -i- 40, or 1,500 lb per hour, or 25 lb per minute. Assuming one gallon of water to weigh 8.33 lb, water must circulate in the system at the rate of 3 gpm. If the temperature difference were 20 F instead of 40, the circulation would be at the rate of 6 gpm. It'is well to remember that, with a temperature difference of 20 F, water circulating at the rate of 1 gpm will convey heat at the rate of 10 Mbh. The chart of Fig. 3 shows the rate of circulation in gpm on the upper scale and the corresponding heat conveyance oit the lower scale. The syst-em may be divided into 5 separate systems.. Each of the four radiators with its flow and return lines constitutes an elementary heating system (similar to Example 1), and the flow main with its two risers is also a complete elementary system. If the center of the boiler is 4 ft below the center of the flow main, and if the flow Hot Water Heating Systems and Piping 301 riser contains 200 F water and the return riser, 160 F water, the.6A for the main'circuit is (Fig- 4) 4 x 175, or 700 milinches. The circuit consists of 110 ft of pipe aiid 10 elbow equivalents; its equivalent length is about 150 ft if a 2 in. pipe is used as the main. The average ph will be 700 -s- 150, or 4.7 milinches. According to Fig. 3 or Table 1 for a 4.7 piilinch fh, a 2 in. pipe will convey about 70 Mbh. Since the pipe is to convey only 60 Mbh, it is slightly too large but should be used. The fh will, then, be 3.5 milinches. instead of the permissible 4.7. The water will circulate with a temperature difference slightly less than 40 F, and the three last radiators would receive water slightly warmer, than indicated in Fig. 12. ' . As the water flows in the main and arrives at one of the four points marked A, the flow will be divided and a portion of the water will .take the short path in the main to the point B, and the remainder will take the long path through the radiator to the point B. Since the two paths together offer less resistance to the flow than the one path alone, the unit./A will be less than 3.5 milinches between the points A and B. If the distance from A to B is 4 ft, and if, for example, the flow in the short path is 2 gpm, the ph forcing the water along the two paths is 4 x 1.6, or about 6 milinches. ' Since the fh of the long path is much greater than the fh of the short path, only a comparatively small portion of the water would take the long path. However, the gravity head of the radiator supplies an additional ph for the long path'. If the center of the radiator is 4 ft above the 140 F 150F Fig. 12. One-pipe Gravity Circulation System main and if the radiator circuit is designed for a temperature difference of 30 F, the radiator ph will be about 4 x 120, or 480 milinches. In that case, the ph is 6 milinches ` for the short path and 486 milinches for the long path. The radiator circuit consists of 11 ft of pipe and about 14 elbow equivalents. If the circuit is of 1 in. pipe, its equivalent length is about 40 ft and the unit fh should be 486 -3- 40, or 12 milinches. For this fh and 30 F temperature difference, a 1 in. pipe conveys about 15 Mbh (Fig; 3). A 1 in. pipe is, therefore, the correct size, and the water would flow through the radiator with a temperature difference of 30 F. " Since each of the four radiators delivers one fourth of the total heat, and since the total temperature difference is to be 40 F, the water would cool 10 F in every radiator if all the water passed through every, radiator. Since the water cools about 30 F in flowing through the radiator only } of the water flows through the radiator and % flow through the main from point A to point B. It follows from these calculations that, if the main is of 2 in. pipe and the radiator branches are of 1 in. pipe, water will circulate through the system at the.rate of 3 gpm with a temperature difference somewhat less than.40 F and that, at the radiator connec tions, water will .circulate through the radiators at the rate of 1 gpm and that,, conse quently, between radiator branch connections the fh is at a lower rate since only 2 gpm now through in the main between those points. One-Pipe Forced Circulation System Example 6. The system shown in Fig. 12 as a gravity circulation system may be changed to a forced circulation system by inserting a circulating pump as shown in Fig. 13. The location of the expansion tank should then be changed as indicated. Solution. To design this system the pipe sizes and the temperature difference may be assumed; for example, 1 }/i in. pipe may be selected for the main and M in. pipe for the radiator branches and risers, and. 20 F as the flow-return temperature difference.