The slide rule : $b a practical manualPickworth, Charles N. (Charles Newton)
Science
The slide rule : $b a practical manual
Pickworth, Charles N. (Charles Newton)
Slide-rule
Cut-off in fractions of stroke Mean pressure constant
¾ 0·968
⁷⁄₁₀ 0·952
⅔ 0·934
⅝ 0·919
⅗ 0·913
½ 0·846
⅖ 0·766
⅜ 0·750
⅓ 0·699
³⁄₁₀ 0·664
¼ 0·596
⅕ 0·522
⅙ 0·465
⅐ 0·421
⅛ 0·385
⅑ 0·355
⅒ 0·330
¹⁄₁₁ 0·309
¹⁄₁₂ 0·290
¹⁄₁₃ 0·274
¹⁄₁₄ 0·260
¹⁄₁₅ 0·247
¹⁄₁₆ 0·236
To find mean pressure:—Set 1 on C to constant on D, and under initial
pressure on C read mean pressure on D.
Given the absolute initial pressure, length of stroke, and admission
period, to find the absolute pressure at any point in the expansion
period, it being assumed that the steam expands adiabatically. (P_{2} =
(P_{1})/(R^{¹⁰⁄₉}) in which P_{1} = initial pressure and P_{2} the
pressure corresponding to a ratio of expansion R.)
Set L.H. index of C to ratio of expansion on D, and read on the back of
the slide the decimal of the logarithm. Add the characteristic, and to
the number thus obtained on D set 9 on C, and read off the value found
on D under the index of C. Set this number on the logarithmic scale to
the index mark, in the opening on the back of the rule, and under L.H.
index of C read the value of R^{¹⁰⁄₉} on D. The initial pressure divided
by this value gives the corresponding pressure due to the expansion.
EX.—Absolute initial pressure 120 lb. per square inch; stroke, 4 ft.;
cut-off ¼. Find the respective pressures when ½ and ¾ths of the stroke
have been completed.
Public-domain text, read in full here on John Shaqi.
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