Y expansion

Y expansion faetor, ratio of flow eoeffieient for a gas to that... 

F3 = area thermal-expansion factor. Takes into account the expansion of the orifice with temperature changes h = full-scale orifice pressure differential, in. H2O at 68°F k = specific heat ratio (constant pressure to constant volume Cp/C ) P = upstream pressure, psia AP = full-scale orifice pressure-differential, psi Q = full-scale flow rate at upstream conditions, fp/min = ti ue full-scale flow rate, Ib/s Y = expansion factor... 

As mentioned previously, once the curvature enei y expansion is obtained in terms of A.o, it can further be minimized over 27 and the area-equilibrated expansion can be derived as was done in Eqs. (6.5,6.9,6.10). This implies that under the constraint of constant local volume, the thickness of the curved membrane. A, is related to that of the flat membrane, A.o, by... 

Total investment for the 40,000 t/y expansion was 30 million U. S. dollars, which is equivalent to 750 /t. This may be one of the most economical expansion projects in the world. 

This is our second-order F-ordered result for F (l 2). From further y expansion we see that it yields, for symmetrically charged spheres, the contribution, to lowest order in y. 

Substrate Material Transition Temperature of X-Y Expansion Thermal Conductivity Absorption... 

As for the second class, there is a cancellation of many of the terms. In fact the only one that survives is the contribution from the first term in which both momentum operators operate on 1/r/y. Expansion of the scalar quadruple product gives... 

Cotter is based on the scaled particle theory. The alternative way is to use the so-called y-expansion of the hard-core free energy proposed by Gelbart and Barboy [44]. This is an expansion in powers of 7] /(1 - rj) which is much more reliable at high densities compared with the usual virial expansion in powers of rj. The y-expansion has also been used by Mulder and Frenkel [51 ] in the interpretation of the results of computer simulations for a system of hard ellipsoids. 

Figure 5 Mean aggregation number (s) versus solute concentration for polydis-perse rodlike aggregates. (Adapted from Ref. 44.) Ideal means that no intermiceUar interactions are included. The excluded volume interaction is calculated based on the assumption that the aggregates are spherocylinders using the so-called y-expansion. ...

Y = expansion factor, which allows for the change in gas density as it expands adiabatically from p to p2 [3],... 

Q = volumetric flow, Sm /s Y = expansion factor, dimensionless K = flow resistance factor of pipes and fittings d = diameter, m Ap = differential pressure, kPa Pi = vessel pressure, kPaA T = temperature, K Sg = specific gravity (air = 1)... 

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