142 THE DYNAMICS OF STEAM. [CHAP. V.
(d) STEAM OF ANY INITIAL QUALITY.-The reason for tabulat- ing all the quantities below E appears when we consider the gen- eral adiabatic equation of relation, (70), 1 b₂ (117) and note that just as z, varies between the limits 0 and 1, so x varies between 1 and ₂, and v varies between and . That is, in Fig 45, the variable intercept E'C', between the two adiabatic curves AE and BC, is divided in constant ratio by the intermediate adiabatic FG. Suppose that, for p,-150 and p₁-15, x,-.60: then the total energy, represented by AFGD in Fig. 45, we get either by adding 60 per cent. of E, to E,, or by subtracting 40 per cent. of E, from E; giving either E' .6x152.66+14.64 = =91.60+14.64 = 106.24 or E' 167.30 .4×152.66 = - =167.30-61.06=106.24. This table reduces operations with the adiabatics of saturated steam to simple slide-rule arithmetic; while the drawing of adia- batic curves for superheated steam is provided for by Table II. In getting the two limits, v, is taken to be the same as s₂; for where 8, is small, z, is near unity, and where x, departs from 1.00, s, is large and w, relatively insignificant: but for v₂, the exact expression is used. Vx=t¢z+£¼ (e) JET-CONDITIONS DETERMINED.-The general results set forth in Table V. are applied in Table 24 A and Fig. 46 to the particular case of the flow of a steam-jet under adiabatic conditions. The arrangement of this table is similar to that of Table V., and the first quantity E is taken directly from Table V. Then the next, V, is the velocity in feet per second of the jet at p, if all the energy
