Acetylene, the Principles of Its Generation and Use: A Practical Handbook on the Production, Purification, and Subsequent Treatment of Acetylene for the Development of Light, Heat, and PowerLeeds, F. H. (Frank Henley)
Science
Acetylene, the Principles of Its Generation and Use: A Practical Handbook on the Production, Purification, and Subsequent Treatment of Acetylene for the Development of Light, Heat, and Power
Leeds, F. H. (Frank Henley)
Acetylene
Consequently a bell which is _d_ inches in diameter, and gives a
pressure of _p_ inches of water, will weigh 0.028302_pd^2_ lb.
Or, if W = the weight of the bell in lb., the pressure thrown by it will
be W/0.028302_d^2_ or 35.333W/_d^2_. This is the fundamental
formula, which is sometimes given as _p_ = 550W/_d^2_, in which
W = the weight of the bell in tons, and _d_ the diameter in feet.
This value of _p_, however, is actually higher than the holder would
give in practice. Reductions have to be made for two influences, viz.,
the lifting power of the contained gas, which is lighter than air, and
the diminution in the effective weight of so much of the bell as is
immersed in water. The effect of these influences was studied by Pole,
who in 1839 drew up some rules for calculating the pressure thrown by a
gasholder of given dimensions and weight. These rules form the basis of
the formula which is commonly used in the coal-gas industry, and they may
be applied, _mutatis mutandis_, to acetylene holders. The
corrections for both the influences mentioned vary with the height at
which the top of the gasholder bell stands above the level of the water
in the tank. Dealing first with the correction for the lifting power of
the gas, this, according to Pole, is a deduction of _h_(1 -
_d_)/828 where _d_ is the specific gravity of the gas and
_h_ the height (in inches) of the top of the gasholder above the
water level. This strictly applies only to a flat-topped bell, and hence
if the bell has a crown with a rise equal to about 1/20 of the diameter
of the bell, the value of _h_ here must be taken as equal to the
height of the top of the sides above the water-level (= _h'_), plus
the height of a cylinder having the same capacity as the crown, and the
same diameter as the bell, that is to say, _h_=_h'_ +
_d_/40 where _d_ = the diameter of the bell. The specific
gravity of commercially made acetylene being constantly very nearly 0.91,
the deduction for the lifting power of the gas becomes, for acetylene
gasholders, 0.0001086_h_ + 0.0000027_d_, where _h_ is the
height in inches of the top of the sides of the bell above the water-
level, and _d_ is the diameter of the bell. Obviously this is a
negligible quantity, and hence this correction may be disregarded for all
acetylene gasholders, whereas it is of some importance with coal-gas and
other gases of lower specific gravity. It is therefore wrong to apply to
acetylene gasholders formulæ in which a correction for the lifting power
of the gas has been included when such correction is based on the average
specific gravity of coal-gas, as is the case with many abbreviated
gasholder pressure formulæ.
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