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Book - School of Science and Technology

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Water systems - gravity circulation 249whereCP ˆ circulating pressure per m height (Pa/m)p 2 ˆ specific mass <strong>of</strong> water at temperature t 2 (kg/m 3 )p 1 ˆ specific mass <strong>of</strong> water at temperature t 1 (kg/m 3 )As a matter <strong>of</strong> convenience, values <strong>of</strong> circulating pressure (CP) have been pre-calculated<strong>and</strong> are listed in Table 9.3 for a range <strong>of</strong> flow temperatures <strong>and</strong> temperature drops, flowto return.It will be obvious that the water temperature at any point around the piping circuitmay be determined knowing the ratio between the heat emitted between the boiler <strong>and</strong>the point in question <strong>and</strong> the heat emission overall. For example, if the output <strong>of</strong>radiator `1' <strong>and</strong> the upper horizontal pipework were 25% <strong>of</strong> the overall emission, <strong>and</strong>the temperatures at the boiler were 80 C flow <strong>and</strong> 60 C return (t ˆ 20 K), thenthe temperature <strong>of</strong> the water at the top <strong>of</strong> the drop P would be 80 (0:25 20) ˆ 75 C. The circulating pressure available may be determined by use <strong>of</strong> this simplerelationship.Equilibrium conditionsFor a given quantity <strong>of</strong> heat to be transmitted from the boiler to radiators `1' <strong>and</strong> `2',water must flow through the pipework, the mass depending upon the temperature drop.N 1 21P 1Figure 9.11 Simple example <strong>of</strong> single-pipe gravity circulationTable 9.3 Circulating pressures for gravity hot water systemsFlowtemperature( C)Circulating pressure (Pa) per metre height, for the following temperaturedifferences (K) flow to return10 11 12 14 16 18 2060 47.4 56.1 64.6 72.8 80.7 88.4 95.765 50.3 59.7 68.8 77.6 86.2 94.6 10370 53.1 63.1 72.8 82.3 91.5 101 10975 55.9 66.4 76.7 86.8 96.6 106 11680 58.5 69.6 80.5 91.1 102 112 12285 61.1 72.7 84.1 95.3 106 117 128

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