### Table 3 gives values of turbulence parameters at this Reynolds number, including the turbulent kinetic energy, defined in terms of Favre fluctuations,

2002

"... In PAGE 12: ...93 1.84 Table3 . Final parameters of the simulations.... In PAGE 20: ... (6.4) Table3 lists both ravg and the peak value of r.Allvalues of r were found to be within 20% of ravg,and,inparticular,nosystematic dependence of r on x2 was found to exist, there being only gradual fluctuations of r with x2,atabout the 20% level.... ..."

### Table I: Slopes of the streamwise growth rate of Reynolds stresses and turbulent kinetic energy.

1996

Cited by 1

### Table 5.2: The equations for the second moments. The trace of the Reynolds stress equation, i.e. the turbulence kinetic energy equation, is listed separately, for convenience.

### Table 1. Summary of the runs. In addition to the value of and its variance the normalized Maxwell stress, the inverse plasma beta, and the ratio of magnetic to turbulent kinetic energy are also given. For some values of =! there are two di erent results corresponding to runs with di erent initial conditions.

"... In PAGE 2: ...ariance of . The solid line is a linear t through the data. The uncertainty in the averages is generally less than the variance. The results are summarized in Table1 . Note that increases monotonously with q.... ..."

### Table 1: Turbulent energy density as a fraction of the magnetic energy density needed for acceleration of 10% of the background electrons. to the acceleration within a second in plasmas with density n = 109cm?3 and uniform magnetic elds of 100 and 1000 Gs, respectively. Another factor which a ects fturb is the shape of its spectrum. For a power law distribution (as assumed in PP1) this depends on the index q and the value of kmin. Using the results from PP1 we show the required values of the turbulence with krel min lt; k lt; kth min apos; 1 for several plasma parameters in Table 2. For each energy we use the correspondent value of krel min, the minimum wave number of the waves which are in resonance with the relativistic electron. E, MeV

"... In PAGE 10: ... Using the results presented in Figure 13 we calculate the value for the level of turbulence with k kth min, needed for acceleration of 10% of thermal electrons. Table1 summarizes these results. The amount of turbulence required for further acceleration to higher energies depends on several factors.... In PAGE 11: ... This suggests that the turbulent spectrum could atten at lower k values having a smaller value of spectral index q. Assuming that one half of the turbulent energy is due to the waves with high wave numbers we can give the very conservative estimation of the total level of the plasma turbulence ftot turb by doubling the numbers given in Table1 . The very steep behavior of the curves on Figure 13 suggests that a small increase in the turbulence level will lead to a signi cant increase in the fraction of... ..."

### Table 1. Summary of the runs. In addition to the value of and its variance the normalizedMaxwell stress, the inverse plasma beta, and the ratio of magnetic to turbulent kinetic energy are also given. For some values of =! there are two di erent results corresponding to runs with di erent initial conditions. q 0.1 0.5 1.0 1.5 1.7 1.8

"... In PAGE 4: ...yczka et al. 1995). However, for small negative values of q (q = ?0:1) we found that decayed very quickly to zero. The results are summarized in Table1 . Note that increases monotonously with q.... ..."

### Tables Table 1: Model descriptions. Spatial resolution is given as the latitude x longitude grid size, or quot;T quot; or quot;R quot; for triangular or rhomboidal spectral truncation respectively . The number of model levels/layers is denoted by quot;L quot;. Key to convection schemes: MF-mass flux, SC-shallow convection, MCA-moist convective adjustment, MCC-moisture convergence closure, AS-Arakawa Schubert, DD-downdrafts. Key to ocean mixing: TKE-turbulent kinetic energy closure, Ri-Richardson number dependent, ML-explicit mixed layer. See text for further details.

in The Seasonal Cycle over the Tropical Pacific in Coupled Ocean-Atmosphere General Circulation Models

13

### Table 2 The blade angles, hub size, ratio of angular to axial velocities at inlet for three

"... In PAGE 15: ... Consequently, the SKE for Case C does not increase (or, indeed, decays very slowly) ahead of the diffuser element. If we increase the average value of U =Ux (or U =Ux in Table2 ) at inlet from 0:7 to 1:48 as in Case B, the swirl motion is increased dramatically, generating a high level of turbulence. The maximum level of turbulence energy for Case B is about 30% higher than that of Case A.... ..."