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Comments on “Macroscopic Quasilinear Theory of the Garden‐Hose Instability”
1.R. C. Davidson and H. J. Völk, Phys. Fluids 11, 2259 (1968).
2.V. D. Shapiro and V. I. Shevchenko, Zh. Eksp. Teor. Fiz. 45, 1612 (1963)
2.[V. D. Shapiro and V. I. Shevchenko, Sov. Phys.—JETP 18, 1109 (1964)].
3.C. F. Kennel and R. Z. Sagdeev, J. Geophys. Res. 72, 3303 (1967).
4.B. Abraham‐Shrauner, J. Geophys. Res. 73, 6299 (1968).
5.A. Barnes, Phys. Fluids 11, 2644 (1968).
6.B. Abraham‐Shrauner, Washington University Tech. Rept. No. 68‐10 (1968). The results in this comment are somewhat altered from those in the technical report. In particular, errors in signs and an algebraic error in Eq. (16) have been changed. The fourth‐order velocity moment has been added for a more consistent approximation.
7.The fluctuating heat flux must be kept if lowest‐order results are to be correct. Davidson and Völk drop this term because fluctuations in the inertial terms give the same results in lowest order. The retention of the macroscopic fourth‐order velocity moment and dropping of the macroscopic heat flux are reasonable approximations as the results are exact for a two‐temperature Maxwellian for the averaged one‐particle distribution function.
8.I. B. Bernstein and F. Engelmann, Phys. Fluids 9, 937 (1966).
9.C. F. Kennel and F. L. Scarf, J. Geophys. Res. 73, 6149 (1968).
10.J. P. Klozenberg (private communication).
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