In our previous papers, we have introduced theoretical formulae which render it possible to calculate the pressure produced in the pressure-responsive-chamber of a pneumatic tube type fire detector, if the temperature variation of the tube be given.
But it is necessary to know how the temperature of the tube fluctuates with the time in the case of an actual fire or in the case of room heating, in order that these formulae may be utilized properly.
In this report, we give particulars of our experimental investigations on the fluctuation of the temperature of a pneumatic tube.
As a practical installation, a long single tube of copper is commonly used and is set (in a coil) so as to extend to all the peripherical edges of ceilings of several rooms. In our investigation, our attention was firstly directed to one portion of this tube and the local temperature of this portion was discussed. From this, a conception of the efficiency of a pneumatic tube for detecting a fire was established. Such efficiencies are shown in Table 1 by the reference letter
η.
Next, we dealt with the problem of the mean temperature of the whole pneumatic tube, and obtained the following experimental formula which gives the relation among the mean temperature, the size and the structure of the room, and the magnitude of the heat source :
θ0=
ktSε-0.057Lwhere
L denotes the length of a pneumatic tube ;
S the surface area of a pan which contains burning methanol ; and the coefficient
kt approximately 0.014 for concrete building, while 0.011 for a wooden building ;
θ0 the rate of temperature-rise (°C/min) ; and
ε the base of the natural logarithm.
This experimental formula is applicable to the case where the pneumatic tube is in contact with the periphery of the ceiling of a room and the pan containing burning methanol is located at the center of the room which is nearly square in plan, with a height (from floor to ceiling) of 3 to 3.5m. If the shape of the room is rectangular and appreciably deviates from square shape,
θ0 will be a little higher than what is predicted by the above formula. This formula can be applied to the case where the setting of the tube is in a usual way, provided the tube is not painted at all after it has been installed. But, if the tube is painted after having been fixed to the ceiling,
θ0 will be lower than that given by this formula by some 20 to 30%.
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