CHAPTER IV

RESISTANCE PYROMETERS

=General Principles.=—When a pure metal is heated, its resistance

to electricity increases progressively with the temperature. Certain

alloys, on the other hand, show a practically constant resistance at

all temperatures, examples of such alloys being constantan, manganin,

and platinoid. All the elementary metals, however, exhibit a tangible

rise in resistance when the temperature is augmented; and Sir W.

Siemens, in 1871, proposed to apply this principle to the measurement

of high temperatures by determining the resistance, and deducing the

corresponding temperature from a table prepared under known conditions.

The choice of a metal is in this case more greatly restricted than in

the selection of materials for a thermal junction. A certain amount

of external corrosion does not alter the E.M.F. of a junction; but an

alteration in size produces a marked difference in the resistance of

a wire, which varies directly as the length and inversely as the area

of cross-section. To the necessity for the absence of any internal

physical change affecting the resistance is therefore added the further

condition of permanence of external dimensions. For temperatures

above a red heat the only feasible metals to use are platinum or the

more expensive metals of the platinum series—and hence platinum is

universally employed for this purpose. The original Siemens pyrometer

consisted of 1 metre of platinum wire, 1 millimetre in diameter,

wrapped round a porcelain rod, and protected from furnace gases by an

iron sheath An elaborate method of measuring the resistance, involving

the electrolysis of acidulated water, was adopted for workshop use,

but was too involved to become popular. Later, Siemens employed the

differential galvanometer method, and finally the Wheatstone bridge,

to measure the resistance. Both methods are still in use in connection

with resistance pyrometers, and the principle of each will now be

explained.

=Measurement of Resistance by the Differential Galvanometer.=—A

differential galvanometer is one which possesses two windings, arranged

so that a current passing through the one tends to turn the pointer

in one direction, and through the other to cause a movement in the

opposite direction. If the currents in each winding simultaneously be

equal, the pointer remains at rest under the action of two equal and

opposite forces. The experimental attainment of the condition of rest

serves as a means of measuring resistance, the circuit being arranged

as in fig. 30. Current from a battery B passes through a divided

circuit, one branch containing the adjustable resistance R and one coil

of the galvanometer G; and the other the unknown resistance P and the

opposite coil. The resistance R is adjusted until on tapping the key K

no deflection on the galvanometer is noted, when the current in each

branch of the circuit will be the same. The resistances of each coil of

the galvanometer being equal, it follows from Ohm’s law that P is equal

to R when no deflection is obtained.

[Illustration: FIG. 30.—DIFFERENTIAL GALVANOMETER METHOD OF MEASURING

RESISTANCE.]

The accuracy of this method depends upon the sensitiveness of the

galvanometer, and also upon the extent to which the two coils may be

regarded as truly differential, as the measurement evidently assumes

complete equality in resistance and effect on the moving part. With

modern galvanometers of this pattern, it is possible to secure readings

of sufficient accuracy for the purposes of pyrometry. The method,

however, is less sensitive than the Wheatstone bridge, now to be

described.

[Illustration: FIG. 31.—PRINCIPLE OF WHEATSTONE BRIDGE.]

=Measurement of Resistance by the Wheatstone Bridge.=—The

principle of this method is shown in fig. 31, where _a_ and _b_ are

two fixed resistances of known value; _d_ is an adjustable resistance;

_x_ the resistance to be measured; B a battery; and G a sensitive

galvanometer. If, in this circuit, _d_ be adjusted until no deflection

is shown on the galvanometer, then _a_/_b_ = _x_/_d_; or _x_ = (_a_ ×

_d_)/_b_. Hence, if _a_ = _b_, then _x_ will be equal to _d_.

It is not difficult to construct a portable apparatus, suitable for

workshop use, by means of which the value of _x_ may be determined to

0·01 ohm; and in the laboratory, with a very delicate galvanometer,

0·001 ohm may readily be detected. The Wheatstone bridge method is the

best for the accurate measurement of resistance; but in resistance

pyrometers it is sometimes advisable to sacrifice extreme accuracy

in order to gain advantages in other directions, as will be shown

subsequently.

=Relation between the Resistance of Platinum and Temperature.=—As

platinum is the only feasible metal to use in the construction of

resistance pyrometers, it is essential that the effect of temperature

on the resistance of this metal should be known. Difficulties were

experienced, in the early days of resistance pyrometers, from the fact

that different samples of platinum wire, of varying degrees of purity,

gave widely differing results in this connection; and no certainty was

attained until 1886, when Professor Callendar thoroughly investigated

the subject, and evolved a formula from which the temperature of a

given kind of platinum could be deduced with great accuracy from the

resistance. In order to understand this formula and its application, it

will be necessary to consider the underlying principles upon which it

is founded.

If the resistance of a platinum wire be measured at a number of

standard gas-scale temperatures, and the results depicted graphically

by plotting resistances against corresponding temperatures, the curve

obtained is part of a parabola, exhibiting a decrease in the rate at

which the resistance increases at the higher temperatures. A second

platinum wire, of different origin and purity, and of the same initial

resistance as the foregoing, would furnish a curve which, although

parabolic, would not overlap that obtained with the first wire. The

advance made by Callendar was to deduce a formula from which the

temperature of any kind of platinum wire could be deduced from its

resistance, after three measurements at known gas-scale temperatures

had been determined. The calibration of a resistance pyrometer was

thereby reduced to three exact observations, instead of a large number

distributed over the scale; and, moreover, the formula in question

was found to give results of great accuracy over a wide range of

temperature for any kind of platinum wire.

Before dealing with Callendar’s formula, the term “degrees on the

platinum scale” will be explained. Such degrees are obtained by

assuming that the increase of resistance of platinum is uniform at

all temperatures; that is, that the temperature-resistance curve is a

straight line, and not a parabola. For example, a piece of platinum

wire of 2·6 ohms resistance at 0° C. will show an increase to 3·6 ohms

at 100° C.—an addition of 1 ohm for 100°. We now assume that a

further augmentation of 1 ohm, bringing the total to 4·6 ohms, will

represent an increase of 100°, or a temperature of 200°. Similarly,

a total resistance of 5·6 ohms would indicate 300°, and 12·6 ohms

1000°. The temperature scale obtained by this process of extrapolation

is called the “platinum scale,” and differs considerably from the

true or gas scale, the difference becoming greater as the temperature

rises. This is indicated in fig. 32, in which A represents the true

parabolic relation between resistance and temperature, and B the

assumed straight-line relation. Reading from curve A, the temperature

corresponding to 8 ohms resistance is 600° C.; but from B the same

resistance is seen to represent only 545° C., which is the “temperature

on the platinum scale” to which this resistance refers. An inspection

of fig. 32 shows that at all temperatures, except between 0° and 100°,

the platinum-scale readings for given resistances are less than those

indicated on the gas scale.

Callendar’s formula is expressed in terms of the difference between the

gas-scale and platinum-scale readings, and takes the form

_t_ - _p_ = δ{(_t_/100)^2 - (_t_/100)},

where _t_ = temperature on the gas scale,

_p_ = temperature on the platinum scale.

δ = a constant, depending upon the purity of

the wire.

[Illustration: FIG. 32.—CONNECTION BETWEEN RESISTANCE OF PLATINUM AND

TEMPERATURE: A, ON GAS SCALE; B, ON PLATINUM SCALE.]

In order to determine the value of δ, it is necessary to measure the

resistance of the wire at 0°, 100°, and a third temperature, which

should be considerably above 100°. The readings at 0° and 100° are

requisite to establish the platinum scale of temperatures; the third

reading is required to calculate the value of δ, as _p_ and _t_ are

equal at 0° and 100°, these points forming the basis of both scales. An

example is appended to make this matter clear.

_Example._—A platinum wire has a resistance in ice of 2·6

ohms; in steam, 3·6 ohms; in boiling sulphur, 6·815 ohms.

To find the value of δ, the boiling point of sulphur being

444·5 on the gas scale.

Since an increase of (3·6 - 2·6) = 1 ohm is produced by

100°, the increase observed in boiling sulphur,

(6·815 - 2·6) = 4·215 ohms, will represent a temperature,

on the platinum scale, of (4·215 × 100)/1 = 421·5° _p_.

Applying Callendar’s formula,

(444·5 - 421·5) = δ{(444·5/100)^2 - (444·5/100)}

the value of δ is found to be 1·5.

Callendar, in his experiments, employed the boiling point of sulphur

for the third point, and determined this temperature on the gas scale

with great accuracy, The necessity for extreme precision in applying

this formula is made clear by noting the effects on the value of δ

resulting from small differences in the figures chosen in the above

example. If, for instance, the boiling point of sulphur on the gas

scale were taken at 2° lower, or 442·5, the value of δ would work out

to 1·37; and the error at 1200° C. thus caused would amount to 17°. The

same discrepancy would be observed if the resistance in boiling sulphur

were taken as 6·835 ohms, an error of 0·02 ohm; and a still greater

error would result if the difference in resistance at 0° and 100° were

measured as 0·99 ohm instead of 1 ohm. From an extensive experience of

the difficulties attendant on correctly determining the value of δ,

the author has found that no reliable result can be obtained unless

measuring instruments of the highest precision are used, and elaborate

precautions taken to ensure the exact correction for alterations in

the boiling points of water and sulphur occasioned by changes in

atmospheric pressure. Unless the necessary facilities are at hand, an

operator would be well advised to standardize a resistance pyrometer by

taking several fixed points and drawing a calibration curve, after the

manner recommended for a thermo-electric pyrometer.

If a resistance pyrometer be calibrated so as to read in platinum-scale

degrees, and the value of δ be known for the wire, the correct

gas-scale temperatures may be calculated from Callendar’s formula. The

table on next page gives the results of a number of calculations made

in this manner.

=Changes in Resistance of Platinum when constantly Heated.=—The

resistance of platinum undergoes a gradual change when the wire is kept

continuously above a red heat; and if the temperature exceed 1000° C.

the change becomes very marked after a time, leading to serious errors

in temperature indications when used in a pyrometer. The alteration

under notice is due, as shown by Sir William Crookes, to the fact that

platinum is distinctly volatile above 1000° C., and hence the diameter

of the wire diminishes. This variation constitutes a serious drawback

to the use of resistance pyrometers for temperatures exceeding 1000° C.

COMPARISON OF GAS AND PLATINUM SCALES.

δ = 1·5.

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬┬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬┬▬▬▬▬▬▬▬▬▬▬▬▬

Platinum Thermometer│Air Thermometer Reading│ Difference

Reading (Pt.). │ _t_ (deg. C.). │(_t_ ▬ Pt.).

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬┼▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬┼▬▬▬▬▬▬▬▬▬▬▬▬

-100 │ -97·1 │ +2·9

│ │

0 │ 0 │ 0

50 │ 49·6 │ -0·04

100 │ 100 │ 0

200 │ 203·1 │ 3·1

300 │ 309·8 │ 9·8

│ │

400 │ 420·2 │ 20·2

500 │ 534·9 │ 34·9

600 │ 654·4 │ 54·4

700 │ 779·4 │ 79·4

800 │ 910·7 │ 110·7

│ │

900 │ 1049·4 │ 149·4

1000 │ 1197·0 │ 197·0

1100 │ 1355·0 │ 255·0

1200 │ 1526·7 │ 326·7

1300 │ 1716·0 │ 416·0

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬┴▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬┴▬▬▬▬▬▬▬▬▬▬▬▬

=Terms used in Resistance Pyrometry.=—Following on the researches

of Callendar and others, certain terms relating to resistance

pyrometers have come into use, and will now be defined.

(1) _The Fundamental Interval_ is the increase in resistance between

0° C. and 100° C, or R_{100}-R_{0}. It should be remembered that the

increases between 200° and 300°, or 800° and 900°, all temperatures

being taken on the gas scale, differ from the fundamental increase.

(2) _The Fundamental Coefficient_ is that fraction of the resistance

at 0° C. by which it increases per degree between 0° and 100°, on the

average, or

(R_{100} - R_{0})

───────────────── .

(R_{0} × 100)

This figure is in reality the average temperature coefficient between

0° and 100°. For pure platinum the value is or 1/260 or 0·003846.

(3) _The Fundamental Zero_ is the temperature, on the platinum scale,

at which the resistance would vanish; it is evidently the reciprocal of

(2), prefaced by a minus sign, or

(R_{0} × 100)

─ ───────────────── .

(R_{100} - R_{0})

For pure platinum this temperature would be -260_p_, since it is

assumed that the average increase or decrease per degree holds

throughout; that is, for every degree the metal is cooled the loss of

resistance is taken to be 1/260 the resistance at 0°. Hence at -260_p_

the resistance, on this assumption, would vanish.

(4) _The Difference Formula_ is the expression which gives the relation

between gas-scale and platinum-scale temperatures, or

_t_ - _p_ = δ{(_t_/100)^2 - (_t_/100)}

This formula has already been fully dealt with.

(5) _The Platinum Constant_ is δ in the above expression. The value

for pure platinum is about 1·5, but small quantities of impurities may

alter the figure considerably. The truth of the formula (4), however,

is unaffected by changes in δ, as _p_ would be correspondingly

altered.

[Illustration: FIG. 33.—PLATINUM RESISTANCE PYROMETER.]

=Practical Forms of Resistance Pyrometers.=—A typical form of

resistance pyrometer, made by the Cambridge and Paul Instrument

Company, is illustrated in fig. 33. The coil of platinum wire is

wound round the edges of a mica framework, made of two strips of mica

fastened at right angles so as to form a + in section. This method of

winding is due to Callendar, who discovered that mica was chemically

inert towards platinum, even at high temperatures. The leads, also of

platinum wire, pass from the coil through mica washers to terminals

fastened to the boxwood head. A second wire, not connected with the

coil, but identical in length and diameter with the ordinary leads,

is bent into two parallel branches, which are passed through the mica

washers side by side with the leads, and are brought to a second pair

of terminals in the head. The function of this wire is to compensate

for changes in the resistance of the leads when heated, by opposing

the compensating wire to the pyrometer in the measuring arrangement,

when the resistance of the leads and wire, being equal, will cancel,

the resistance actually measured being in consequence that of the

coil only. Fig. 34 shows the connections for a Wheatstone bridge when

this method of compensation is employed, _a_ and _b_ representing

two equal fixed resistances, P the pyrometer coil, _x_ the leads, L

the compensating wire, and _d_ the adjustable resistance. When no

deflection is observed on the galvanometer,

_a_ _x_ + P

──── = ──────── ,

_b_ L + _d_

and since _a_ = _b_ and _x_ = L, it follows that P = _d_.

The protecting tube used by the Cambridge and Paul Instrument Company

is made of porcelain, which is found to shield the platinum completely

from the furnace gases, but is extremely fragile, and for workshop use

should be protected by an outer iron sheath.

[Illustration: FIG. 34.—WHEATSTONE BRIDGE AS USED WITH A RESISTANCE

PYROMETER.]

Resistance pyrometers made by other firms differ in detail from the

foregoing. In the Siemens pyrometer the coil is wound on special

fireclay, and protected by an iron sheath, the space between the coil

and the sheath being filled with magnesia, which effectively prevents

the corrosion of the platinum; and compensation is effected by means

of a single wire passing down the centre and connected to one end of

the coil, a special form of Wheatstone bridge being used to take the

measurement. In the instruments made by R. W. Paul the coil is made

of flat strip rolled out from wire, wound on mica, and protected by

a silica tube and outer iron sheath. The Leeds-Northrup Company of

Philadelphia employ a rod of obsidian on which to wind the coil, and

also make a form in which the coil is wound so as to be

self-sustaining, thus dispensing with the support. In all cases the

coil is wound non-inductively, _i.e._ the wire is doubled before making

into a spiral.

The zero resistance of a given instrument depends upon the accuracy

of the measuring appliances used, and upon the degree of precision

it is desired to attain. If, for example, it is intended to read to

1°C., with appliances capable of measuring to 1/100 of an ohm, a

convenient zero resistance is 2·6 ohms; it being found that with pure

platinum the resistance rises from 2·6 ohms at 0° to 3·6 ohms at 100°

C., an increase of 1/100 of an ohm for 1° C. With coarser measuring

arrangements, for the same degree of precision, a correspondingly

higher zero resistance will be required; thus if 1/25 ohm be the least

amount detectable by the measuring device, a zero resistance of 10·4

ohms would enable 1° C. to be observed. It is evident that a suitable

zero resistance may be calculated similarly in all cases when the

limit of the measuring appliance is known, and the minimum temperature

interval specified.

For work above a red heat, the leads from the coil should always

be made of platinum. Copper leads, when heated, give off vapour in

sufficient quantity to attack the platinum; and the same applies to

a greater degree to all kinds of solder. For low temperature work,

however, copper leads may be used, thus reducing the cost of the

instrument. Mica, above 1000° C., tends to crumble; and most forms melt

at 1300° C. or lower; hence a mica-wound instrument should not be

used continuously above 1000° C. The fireclay winding used by Siemens

permits of occasional readings being taken up to 1400° C., and the same

applies to wires wound on obsidian (melting point = 1550° C.), or those

in which the coil is self-sustaining. As previously mentioned, however,

alterations in the platinum itself render continuous readings above

1000° C. inaccurate after a short time.

It has been pointed out that with accurate measuring devices, a

resistance corresponding to a change of 1° C. can be measured; and it

might appear at first sight that the resistance method is considerably

more accurate in practice than the thermo-electric. If a perfectly

constant temperature were to be measured, a resistance pyrometer

would undoubtedly give a closer indication; but constancy to 10°

C. is seldom possible with gas-fired or coal furnaces or other hot

spaces in which pyrometers are used. The accuracy of a pyrometer under

workshop conditions therefore depends upon the rapidity with which it

responds to temperature fluctuations, which condition will evidently

be influenced by the thermal conductivity of the sheath. As it is

necessary to protect a resistance pyrometer with a porcelain or silica

sheath, both of which are poor conductors of heat, this instrument is

in consequence not capable of following a rapidly changing temperature.

The same applies to the magnesia packing used in the Siemens form;

whereas a thermo-electric pyrometer is often sufficiently shielded

by an iron tube, which transmits heat with a fair degree of freedom.

The superior delicacy of the resistance method is therefore nullified

by the sluggishness of its indications; and for reading changing

temperatures the thermo-electric pyrometer is at least equally

accurate. If, however, a constant temperature can be obtained, as

in the determination of melting points, or when using experimental

furnaces capable of exact regulation, the steady temperature reading

may be secured with greater precision by using the resistance pyrometer.

=Indicators for Resistance Pyrometers.=—All existing indicators

for resistance pyrometers are in reality outfits for measuring

resistance, either by the Wheatstone bridge, differential galvanometer,

or other method, the resistance being translated on the dial into

corresponding temperatures. Typical examples will now be described.

[Illustration: FIG. 35.—SIEMENS’ DIAL INDICATOR.]

=Siemens’ Indicator.=—This instrument is based upon the

Wheatstone bridge principle, and is shown in fig. 35. The galvanometer

is mounted in the centre of the dial, round the edge of which is fixed

a ring on which the adjustable resistance is wound in spiral form.

Suitable terminals are provided, duly labelled, to which the battery,

pyrometer leads, and compensator are attached. A brass arm, movable

about the centre of the dial, terminates in a tapping-key which moves

over the adjustable resistance; the key being placed in the battery

circuit. The fixed known resistances are located in the interior of the

indicator. The adjustment consists in moving the key round the

circumference until, on tapping, no deflection is obtained on the

galvanometer. The pointed end of the movable arm then indicates

the temperature of the pyrometer on the dial, which is marked in

temperatures corresponding to the resistance opposed to the pyrometer

for different positions of the key. In taking a reading, the operator

is guided by the fact that when the temperature indicated is too high,

the movement of the galvanometer needle will be in one direction;

whereas if too low an opposite deflection will be given. The

intermediate position of no deflection must then be found by trial; and

the procedure should not occupy more than two minutes if the observer

possess an approximate notion of the temperature to be measured.

[Illustration: FIG. 36—WHIPPLE’S INDICATOR.]

=Whipple’s Indicator.=—This instrument (fig. 36) is employed

by the Cambridge and Paul Instrument Company, and is also a form of

Wheatstone bridge. The pyrometer leads and compensator are connected to

properly labelled terminals T, and the battery to other terminals

at the opposite side of the box. The pointer of the galvanometer is

visible through the small window B, and a battery of two dry cells is

placed at the side of the box. The fixed resistances are contained in

the interior, and the adjustable resistance consists of a continuous

wire wound on a drum, which may be rotated by the handle H. The shaft

connecting H with the drum is screwed, and works in a nut, so that the

turning of H produces a spiral movement of the drum. The adjustment

consists in rotating H until, on tapping the key F, no deflection of

the galvanometer pointer is observed. The temperature of the pyrometer

is then read off directly from a paper scale wound round the drum and

rotating with it, visible through the window A, the reading being

indicated by a fixed pointer. This arrangement forms a compact and

convenient indicator.

[Illustration: FIG. 37.—THE HARRIS INDICATOR.]

=The Harris Indicator.=—In the Siemens and Whipple indicators it

is necessary, before a reading can be taken, to adjust a resistance

until the galvanometer shows no deflection—an operation which takes

up time and requires a fair amount of skill. This is obviated in the

Harris indicator, made by R. W. Paul, and shown in fig. 37. This

instrument is a special form of ohmmeter, which automatically indicates

the resistance of the pyrometer by the movement of the pointer; the

scale, however, being divided so as to read corresponding temperatures.

In this indicator the scale may be made to notify an excess

temperature—say 100°—above a given fixed number, and hence is capable

of yielding an exact reading over the working range for which it is

used. It may also be connected so that the whole scale represents the

complete range—say 0° to 1000° C.—or other specified interval. The

advantage possessed by this instrument is that the manipulation is much

simpler than in the indicators previously described.

=The Leeds-Northrup Indicator.=—In this apparatus the Wheatstone

bridge principle is employed, but the galvanometer is provided with a

scale divided or temperatures. Coils are provided which correspond to

an increase of resistance due to a rise of 100° C. on the part of the

pyrometer, and by inserting these coils in the circuit the temperature

is obtained to the nearest 100°. If the temperature were exactly at an

even hundred—say 700°—the pointer of the galvanometer would be at

zero on its scale; but if now the temperature rose, the system would

no longer be balanced, and the galvanometer pointer would move over

its scale by an amount depending upon the potential difference at its

terminals. A very sensitive galvanometer would give a movement to the

end of its scale with a slight alteration from the correct balance of

the system; but by using a coarser instrument the pointer would remain

within bounds; and the greater the increase of resistance, the larger

would be the deflection. It is possible, in such a case, to divide

the galvanometer scale to read temperatures corresponding to a given

increase above that of the coils placed in the circuit. In one form

of the Leeds-Northrup indicator, the whole scale is thus divided to

read 100°, and the reading is obtained by adding the figure shown on

the galvanometer to the hundreds represented by the coils inserted.

In another form the galvanometer has a central zero, and its scale is

divided both right and left, one side giving the number of degrees

above, and the other below, the nearest hundred. The observations are

thus much simpler than in the case where adjustment to the condition of

no deflection is requisite.

=Siemens’ Differential Indicator.=—This form of indicator is

still in use, and consists of a differential galvanometer and box of

resistance coils, connected as shown in fig. 30. By adjusting the

coils until no deflection is produced, the resistance of the pyrometer

is obtained, and the corresponding temperature read off from tables

provided. This form of indicator is preferred by some users, but it is

less sensitive than the more recent Wheatstone bridge indicator made by

this firm (fig. 35), and equally difficult to manipulate.

=Recorders for Resistance Pyrometers.=—The value of records in

high-temperature work has led to the invention of recording mechanisms

for use with resistance pyrometers. The form in common use in Britain

is that devised by Callendar, shown in fig. 38, and consists of a

mechanism for restoring automatically the balance of the resistances

in a Wheatstone bridge circuit, in such a manner as to indicate the

existing resistance on a chart. To this end the moving coil of the

galvanometer carries a boom, or contact-arm, which, on swinging to the

right or left, completes one of two electric circuits. The closing of

either circuit brings into action a clockwork mechanism, which causes

a slider carrying a pen to move over the bridge wire until the balance

is restored, and incidentally to produce a mark in ink on a paper wound

on a drum, which rotates at a known speed. When the resistance of the

pyrometer is balanced, the galvanometer boom will be in a central

position, and the slider at rest; whereas a rise in temperature causing

an increase in the resistance of the pyrometer, will result in the

boom swinging over and completing the circuit, which introduces more

resistance in opposition to the pyrometer. A fall in temperature will

similarly result in the liberation of the second mechanism, owing to

the boom swinging in the opposite direction, with the result that the

slider moves so as to oppose a less resistance to the pyrometer. If the

chart be divided horizontally into equal spaces, representing equal

increments or decrements of resistance, they may be marked to represent

degrees on the platinum scale, which may be translated into ordinary

degrees by reference to a conversion table. In careful and skilled

hands this recorder gives excellent results, and the value of the

records obtained is clearly shown by an inspection of the example shown

in fig. 39, which represents the fluctuations of an annealing furnace

during a period of nine hours. It will be noted that during the period

covered by workman A the furnace has received constant and careful

attention; but workman B has evidently neglected his duty conspicuously

at two separate times.

[Illustration: FIG. 38.—CALLENDAR’S RECORDER.]

[Illustration: FIG. 39.—RECORD OBTAINED WITH CALLENDAR’S RECORDER.]

=The Leeds-Northrup Recorder.=—In the Callendar recorder the

boom which completes the electric circuits is pressed against the

contact-surface merely by the small force due to the axial twist of the

galvanometer coil, which necessitates the use of delicate mechanism

if certainty of action is to be secured. A surer contact is secured

in the instrument made by the Leeds-Northrup Company of Philadelphia,

by means of an intermittent action which will be understood from the

annexed drawing (fig. 40). The boom from the galvanometer terminates in

a platinum tip, P, which moves between two blocks, the upper of which

consists of two pieces of silver, A and B, separated by a strip of

ivory, I, whilst the lower block, C, is another piece of silver, which

is moved periodically up and down by an electro-magnetic contrivance

not shown in the drawing. When the galvanometer is at the position of

balance, the tip of the boom is beneath the ivory piece I; and when C

ascends the tip P is then squeezed on to the ivory, and no current will

then pass from the battery through either of the circuits E or F. If,

however, the point of the boom be beneath A, owing to an alteration in

the temperature of the pyrometer, then on C rising the circuit through

E will be completed; and, similarly, if beneath B the circuit through F

will be established. The result in either case is to bring into action

a mechanism which moves a slider, carrying a pen, over a resistance

wire opposed to the pyrometer in such a manner as to restore the

balance. Certainty of contact is thus secured, which enables all the

parts to be strongly made. The actual recorder is shown in fig. 41, in

which it will be seen that the slider carries an ordinary stylographic

pen in contact with the chart. This recorder is worked on the

differential galvanometer method; and the adjusting resistance, over

which the slider moves, consists of a manganin wire wound on a tapered

core, such that horizontal movements represent equal changes of

temperature, and not of resistance, thus obviating the necessity of

translating platinum-scale readings into ordinary degrees. Concordant

and accurate results, coupled with robust construction, are claimed for

this instrument by the makers. The other type of recorder made by this

firm (fig. 26) may also be used in conjunction with a resistance

pyrometer. In this case the movements described introduce or cut out

resistance opposed to the pyrometer in a Wheatstone bridge circuit,

until the balance is restored.

[Illustration: FIG. 40.—PRINCIPLE OF LEEDS-NORTHRUP RECORDER.]

[Illustration: FIG. 41.—LEEDS-NORTHRUP RECORDER.]

=Paul’s Recorder.=—This instrument, as used for thermo-electric

pyrometers, has already been described. By replacing the galvanometer

by a Harris indicator, and using a suitable chart, the same mechanism

serves to record the indications of a resistance pyrometer.

=Installations of Resistance Pyrometers.=—The resistance method

cannot be so readily applied to the purpose of a centrally controlled

installation as the thermo-electric, owing to the difficulty of

producing a set of pyrometers exactly equal in resistance. The

introduction of the ohmmeter method of measuring resistances, as in

the Harris indicator (page 122), has, however, rendered this project

feasible, as it is possible in this arrangement to bring a set of

pyrometers to a common resistance by adding the requisite amount in

the form of a wire of negligible temperature coefficient. Several

instruments, brought thus to a zero resistance of 3 ohms, for example,

may then be wired up to a Harris recorder, and will give closely

identical results. For various reasons, however, a thermo-electric

installation is preferable.

=Management of Resistance Pyrometers.=—It is not advisable to use

resistance pyrometers continuously above 900° C. (1650° F.), although

an occasional reading may be taken up to 1200° C. (2190° F.). Great care

must be taken that metallic vapours or furnace gases do not find access

to the interior, and for this reason a cracked or defective sheath

should immediately be replaced. As the resistance gradually changes,

even when 900° C. is not exceeded, a reading should be checked at

a fixed point in the neighbourhood of the working temperature, and

allowance made for the observed error. Another method of correction

recommended by some makers is to measure the resistance in ice, and

to note how much this differs from the zero resistance noted when the

indicator was marked, and to correct by simple proportion. Thus, if the

observed resistance in ice were 10·2 ohms, the original having been

10·0 the reading on the indicator would be multiplied by 10·0/10·2 =

0·98, a correction which assumes a linear relation between resistance

and temperature, and is therefore only approximate. Generally speaking,

any serious defect entails the sending of the instrument to the maker,

as a special degree of skill is required to execute the necessary

repairs.

As the indicators are usually not automatic in action, care should be

taken in the manipulation not to damage any part, particularly the

galvanometer; and it is advisable not to trust the instruments to

unskilled observers. The remarks applying to recorders and protecting

sheaths in relation to thermo-electric pyrometers (page 92) apply

equally in this case.

=Special Uses of Resistance Pyrometers.=—In all cases in which

an exact reading is required, and a steady temperature can be secured,

the resistance pyrometer can be used to advantage. Thus for accurate

determinations of melting points and boiling points, or for exact

readings of temperatures in experimental furnaces, a resistance

pyrometer is superior to appliances of other kinds. On the other hand,

it is not capable of responding to changes with the same rapidity as a

thermal junction, and is therefore inferior for such purposes as the

determination of recalescence points, or the temperature of exhaust

gases from an internal combustion engine. The resistance method may

be applied to atmospheric and very low temperatures (liquefied gases,

etc.), to measure steady conditions with accuracy, nickel wire being

sometimes used instead of platinum below 400° C. Many cold stores

are fitted with resistance thermometers, the temperature being read

directly on the galvanometer, which is placed across a Wheatstone

bridge, and shows a deflection which depends upon the amount by which

the bridge is thrown out of balance. Changes in the temperature of the

resistance element may thus be read accurately. Whether the resistance

method is suitable to a given purpose must be decided by the three

factors: (1) temperature to be measured, which must not exceed 1000°

C. continuously; (2) degree of accuracy required (a thermo-electric

pyrometer giving results to 10° C.); (3) stability of the temperature

measured, rapid changes not being readily shown by resistance

pyrometers.

One advantage of resistance pyrometers is that the readings are

independent of the resistance of the wires used to connect the

pyrometer with the indicator, as such wires are duplicated and opposed

to each other in the measuring device, their resistance being thereby

cancelled. Hence the same reading is obtained at any distance, and,

in addition, the head of the pyrometer may vary in temperature to any

extent without altering the reading. These are points of superiority

over the thermo-electric method; but, on the other hand, resistance

pyrometers and indicators are more costly, more fragile, more difficult

to repair, require more skilled attention, and are more liable to get

out of order when used for industrial purposes. These drawbacks have

resulted in restricting the use of resistance pyrometers to special

purposes, the general run of observations being conducted by means of

thermo-electric pyrometers.

Pyrometry: A Practical Treatise on the Measurement of High Temperatures · 第 4 / 9 章