Weight fraction profiles

Figure 10. Comparison of exiting polymer weight fraction profiles as the optimal two-zone wall temperatures are approached.

Similarly, the quasi-steady oxygen weight fraction profile in the gas phase subject to the boimdary conditions in Equations 11 and 12 is ... 

Upon substituting Equation 20 for the reaction rate of fuel into Equations 16,17, and 18 and performing the integrations, the quasi-steady gas-phase temperature and weight fraction profiles during ignition and combustion are found to be ... 

Estimates of the film thicknesses, 8j, needed to determine the gas-phase temperature and weight fraction profiles are based on the empirical Nusselt number correlations developed by Ranz and Marshall (23) for... 

Figure 3.10 Relative H2 weight fraction profiles at changing membrane permeability...

Fig. XI-7. Volume fraction profile of 280,000-molecular-weight poly(ethylene oxide) adsorbed onto deuterated polystyrene latex at a surface density of 1.21 mg/m and suspended in D2O, from Ref. 70.

The simplest way computationally of obtaining a sedimentation coefficient distribution is from time derivative analysis of the evolving concentration distribution profile across the cell [40,41]. The time derivative at each radial position r is d c r,t)/co /dt)r where cq is the initial loading concentration. Assuming that a sufficiently small time integral of scans are chosen so that Ac r t)/At= dc r t)ldt the apparent weight fraction distribution function g (s) n.b. sometimes written as (s ) can be calculated... 

Figure 4 [29] shows the (s) versus profiles for potato amylose and the amylose/amylopectin mixture from wheat starch corresponding to the concentration versus radial displacement data of Fig. 3. The s data used in the concentration dependence plot of Fig. 3 for wheat amylopectin comes from (s) vs. s analysis data of Fig. 2b and similar. The concentrations shown in the abscissa in Fig. 4 have been obtained from the total starch loading concentration normalised by the weight fraction of the amylopectin component estimated from the (s) vs. s profiles.

Figure 4. Entrance region polymer weight fraction (relative to value at the tube centerline) profiles in the tube cross section for a zeroth order reaction and uniform viscosity at GrSc = 10 and = 0.05 and 0.1.

Weight percent profiles through first-stage (left) and second stage reactor of a) alkanes (full fines) and cycloalkanes (dashed fines) and b) aromatic components. Thick lines correspond to C23 finctions, thin lines to 23 fractions. Operating conditions p, 17.5 MPa LHSV 1.67 niL (nv hf molar H2/HC 18 Tmiei 661 K (reactor 1) 622 K (reactor 2). Catalyst NiMo on amorphous silica-alumina. 

Fig. 2.2 Comparative chromatographic profiles of low molecular weight fraction isolated from rat brain...

Fig. 6.37 Interfacial volume fraction profiles calculated for a ternary blend of a PS-PB block copolymer with PS and PB homopolymers in a good solvent (Noolandi and Hong 1982). The diblock has N — 600 and f = The homopolymers have infinite molecular weight. The solid lines are the volume fractions of homopolymer (A = PS) (B = PB), the dashed lines indicate the volume fractions of PS and PB blocks of the diblock. The dots correspond to the total volume fractions of the A and B components and the position is measured in units of a segment length a = 6.95 A.

FIGURE 6 Concentration profile of CA in membrane at moment of precipitation for different CA-acetone weight fraction ratios. 

After establishing the droplet surface temperature at this time, profiles for droplet temperature, gas-phase temperature, fuel weight fraction, and oxygen weight fraction are computed using Equations 15, 22, 23, and 24, respectively. 

From (5.5.32-34) v (z) can be obtained from the volume fraction profiles through (5.5.29 and 30) the fields D,(z) and the weighting factors Gj(z) are found. These serve as the basis for the computation of the end point distributions Gj(z s) and, through the composition law (5.5.3), of the volume fractions. Again, the final solution requires a numerical iteration. 

Normally the measured quantities will he the weight fractions of (/i— 1) species, the flame velocity (for a one-dimensional flat flame this is the velocity component of the cold gas normal to the front), the temperature profile of the flame and the distance, although in certain cases other parameters may be substituted These are the quantities whose measurement is difficult and produced the problems which... 

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