Occurrence of periodic regimes in steady supersonic MHD flows due to loss of electrical conductivity of medium.

*(English. Russian original)*Zbl 0594.76107
Fluid Dyn. 20, 613-623 (1985); translation from Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza 1985, No. 4, 138-149 (1985).

A study is made of the features of supersonic magnetohydrodynamic flows due to the vanishing of the electrical conductivity of the gas as a result of its cooling. The study is based on the example of the exhausting from an expanding nozzle of gas into which a magnetic field perpendicular to the plane of the flow is initially frozen.

It is demonstrated analytically on the basis of a qualitative model and by numerical experiment that besides the steady flow there is also a periodic regime in which a layer of heated gas of electric arc type periodically separates from the conducting region in the upper part of the nozzle.

It is demonstrated analytically on the basis of a qualitative model and by numerical experiment that besides the steady flow there is also a periodic regime in which a layer of heated gas of electric arc type periodically separates from the conducting region in the upper part of the nozzle.

##### MSC:

76W05 | Magnetohydrodynamics and electrohydrodynamics |

76J20 | Supersonic flows |

76M99 | Basic methods in fluid mechanics |

##### Keywords:

supersonic magnetohydrodynamic flows; expanding nozzle of gas; numerical experiment; steady flow; periodic regime; layer of heated gas of electric arc type
PDF
BibTeX
XML
Cite

\textit{A. A. Barmin} et al., Fluid Dyn. 20, 613--623 (1985; Zbl 0594.76107); translation from Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza 1985, No. 4, 138--149 (1985)

Full Text:
DOI

**OpenURL**

##### References:

[1] | A. A. Barmin, and A. G. Kulikovskii, ?Features of supersonic MHD flows connected with the onset of conductivity as gas cools,? in: Selected Questions of Contemporary Mechanics, Part 1 [in Russian], Izd. Moscow State University (1981), pp. 153-164. |

[2] | K. V. Brushlinskii and A. I. Morozov, ?Calculation of two-dimensional flows of plasma in channels,? in: Reviews of Plasma Physics, No. 8 [in Russian], Atomizdat, Moscow (1974), pp. 88-163. |

[3] | K. V. Brushlinskii, G. A. Kalugin, and A. I. Kozlov, ?Numerical simulation of the flow of an ionizing gas in a channel,? Preprint No. 50 [in Russian], M. V. Keldysh Institute of Applied Mathematics, USSR Academy of Sciences (1982). |

[4] | S. A. Belyaev, D. A. Gol’dina, L. V. Leskov, et al., Calculation of Unsteady Acceleration of Plasma in the One-Dimensional Approximation [in Russian], Moscow (1969). |

[5] | A A Samarskii, S. P. Kurdyumov, Yu. N. Kulikov, et al., ?Magnetohydrodynamic model of unsteady acceleration of plasma,? Dokl. Akad. Nauk SSSR,206, 307 (1972). |

[6] | V. V. Savel’ev, ?Two-dimensional calculation of the flow of ionizing gas in the channel of an accelerator,? Pis’ma Zh. Tekh. Fiz.,2, 593 (1976). |

[7] | A. B. Vatakhin, G. A. Lyubimov, and S. A. Regirer, Magnetohydrodynamic Flows in Channels [in Russian], Nauka, Moscow (1970), Chap. 1, pp. 54-128. |

[8] | A. G. Kulikovskii and G. A. Lyubimov, Magnetohydrodynamics [in Russian], Fizmatgiz, Moscow (1962). |

[9] | A. A. Barmin and A. G. Kulikovskii, Ionization and Recombination Fronts in an Electromagnetic Field, Hydromechanics 1970, Vol. 5, Results of Science [in Russian], VINITI AN SSSR, Moscow (1971), pp. 6-31. |

[10] | D. S. Butler, ?One-dimensional flow in an ionizing gas,? J. Fluid Mech.,23, 1 (1965). · Zbl 0134.45403 |

[11] | A. A. Barmin and A. G. Kulikovskii, ?The piston problem in the presence of recombination waves in a magnetic field,? Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 136 (1975). |

[12] | A. A. Barmin, ?Simple rarefaction waves with electrical conductivity close to zero in the presence of an electromagnetic field in the case when the conductivity depends on temperature,? Report No. 1125 of the Institute of Mechanics [in Russian], Moscow (1970). |

[13] | S. K. Godunov and V. S. Ryaben’kii, Difference Schemes. An Introduction to the Theory [in Russian], Nauka, Moscow (1977). |

[14] | A. A. Samarskii and Yu. P. Popov, Difference Schemes of Gas Dynamics [in Russian], Nauka, Moscow (1975). |

This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.