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BOILER ACCESSORIES 133


methods known generically as mechanical draught, very much higher rates of consumption of fuel are obtained with a given grate area than are usual with chimney draught, and as this produces a larger quantity of hot gases, if they are not to be throttled by the chimney the sectional area of the latter must be increased in proportion. On the other hand, where the chimney is only employed to get rid of the hot gases, these will be at a much lower temperature than is usual with chimney draught, and therefore their volume will be less from that cause than it would have been where the hot gases create the draught. The Factors ruling the Height of a Chimney It has been explained that the chimney is required to carry a column of hot gases of sufficient size to furnish the necessary motive column. The weight of the column of gases in the chimney, however, will depend inversely upon their absolute temperature. Further, the velocity of the gases have an important bearing upon the matter, as will be seen, The velocity at which the gases pass through the chimney rules the velocity with which they pass through the boiler tubes, or the space around the tubes, flues, etc., and this again rules the rate at which air is admitted to the furnace, and at which com- bustion takes place. Hence the velocity of the gases in the chimney rules the rate of combustion, this again being ruled by the difference in the pressure between the ashpit and the furnace. Again, the velocity of the gases is ruled by the difference of pressure between the column of the atmosphere, and the column of hot gases in the chimney. The pressure exerted by the motive column is known as the head, and is usually denoted by the letter H, and the head of any motive column is equivalent to the height through which the gases composing that column would have fallen in acquiring the velocity at which the gases are moving. The velocity at which the gases are moving is found from the formula v = √2gh, where v is the velocity of the gases, h is the height of the motive column, under which they are moving, and g is the accelerating force of gravity, taken usually as 32-2 feet per second. The formula will be. recognized as that which is applied to all falling bodies. It will be seen from it, however, that the velocity of the gases, the accelerating force of gravity being constant, varies as the square root of the head of the motive column. In mining work this is expressed by saying that the velocity of the air varies inversely as the square root of the water-gauge, and this may be applied equally to boiler-work. The height of any column of any fluid required to furnish a given pressure depends directly upon the pressure, and inversely upon the density of the fluid.