Pyrometry: A Practical Treatise on the Measurement of High TemperaturesDarling, Charles R. (Charles Robert)
Science
Pyrometry: A Practical Treatise on the Measurement of High Temperatures
Darling, Charles R. (Charles Robert)
Pyrometry
The wires pass to terminals _b_ and _b´_ on the outside of the tube,
from which leads are taken to the indicator. In order to discover
when the junction is in the focus of the mirror, an eye-piece, O, is
fitted in the end of the tube, which enables the junction to be seen,
magnified, through a hole in the centre of M. By means of an optical
device placed near the junction, the image of the sighted object,
produced by M, is reflected in two portions to the eye-piece O. When
the junction is exactly in the focus of M, a circular image is seen
round the junction; when out of focus, the appearance presented is
that of two semi-circles not coinciding laterally. The adjustment
consists in moving the mirror until the separate semi-circles produce a
continuous circle; a method at once simple and definite. The front end
of the pyrometer is shown in fig. 45, in which it will be seen that the
entrance may be partially closed by a diaphragm, or left entirely open,
as required. The diaphragm is used to cut off a definite proportion of
the radiations, and is used for very high temperatures, at which, with
full aperture, the indicator needle would be urged beyond the limits
of the scale. On the indicator two separate temperature scales are
provided, one referring to full, and the other to partial aperture.
The same end might be achieved by inserting a suitable resistance in
series with the indicator: but in this case the junction might be
unduly heated, and possibly damaged thereby. The proportions of the
pyrometer are such that at the highest temperatures measured the heat
incident on the junction never raises it above 110° C. Although the
intensity of radiations diminishes as the square of the distance, the
quantity impinging on the junction is, within limits, independent of
the distance: This arises from the property of concave mirrors with
respect to the relation between the size of an image and the distance
of the object producing it. If _r_ = the radius of the mirror, _u_
the distance of the object, and _v_ the distance of the image, both
measured from the centre of the mirror, the relation 1/_u_ + 1/_v_ =
2/_r_ holds for a concave mirror, and when two of these are known the
third may be calculated. Further, if _d_ be the linear dimension of
an object, and _d_{1}_ that of its image, the relation _d_/_d_{1}_
= _u_/_v_ also holds, and from these two expressions all the points
arising in connection with the Féry pyrometer may be determined, as
will best be made clear by examples.
_Example I._—To find the position of the image of an object
formed by a mirror of 6 inches radius, with object at
distance (_a_) 10 feet, (b) 20 feet.
Reducing to inches, and applying in the formula
1 1 2 1 1 1
────── + ────── = ─────── , ──── + ─────── = ───
_u_ _v_ _r_ 120 _v_ 3
and
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