Steady and Time-Dependent MHD Modelling of Jets

  • K. Tsinganos
  • N. Vlahakis
  • S. V. Bogovalov
  • C. Sauty
  • E. Trussoni


A brief review is given of some results of our work on the construction of (I) steady and (II) time-dependent MHD models for nonrelativistic and relativistic astrophysical outflows and jets, analytically and numerically. The only available exact solutions for MHD outflows are those in separable coordinates, i.e., with the symmetry of radial or meridional self-similarity. Physically accepted solutions pass from the fast magnetosonic separatrix surface in order to satisfy MHD causality. An energetic criterion is outlined for selecting radially expanding winds from cylindrically expanding jets. Numerical simulations of magnetic self-collimation verify the conclusions of analytical steady solutions. We also propose a two-component model consisting of a wind outflow from a central object and a faster rotating outflow launched from a surrounding accretion disk which plays the role of the flow collimator. We also discuss the problem of shock formation during the magnetic collimation of wind-type outflows into jets.


MHD solar wind ISM/stars: jets and outflows galaxies: jets 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Blandford, R.D. and Payne, D.G.: 1982, MNRAS 199, 883.ADSMATHGoogle Scholar
  2. Bogovalov, S.V.: 1994, MNRAS 270, 721.ADSGoogle Scholar
  3. Bogovalov, S.V. and Tsinganos, K.: 2001, MNRAS 325, 249.ADSCrossRefGoogle Scholar
  4. Casse, F. and Keppens, R.: 2002, ApJ 581, 988.ADSCrossRefGoogle Scholar
  5. Ferreira, J. and Pelletier, G.: 1995, A and A 295, 807.ADSGoogle Scholar
  6. Hartigan, P., Edwards, S. and Ghandour, L.: 1995, ApJ 452, 736.ADSCrossRefGoogle Scholar
  7. Heyvaerts, J. and Norman, C.A.: 1989, ApJ 347, 1055.MathSciNetADSCrossRefGoogle Scholar
  8. Krasnopolsky, R., Li, Z.-Y. and Blandford, R.: 2000, ApJ 526, 631.ADSCrossRefGoogle Scholar
  9. Livio, M.: 1999, Phys. Rep. 311, 225.ADSCrossRefGoogle Scholar
  10. Ouyed, R. and Pudritz, R.E.: 1997, ApJ 484, 794.ADSCrossRefGoogle Scholar
  11. Parker, E.N.: 1963, Interplanetary Dynamical Processes, Interscience Publishers, New York.MATHGoogle Scholar
  12. Ray, T.P.: 1996, in: K. Tsinganos (ed.), Solar and Astrophysical MHD Flows,Kluwer Academic Publishers, p. 539.Google Scholar
  13. Sauty, C. and Tsinganos, K.: 1994, A and A 287, 893 (ST94).Google Scholar
  14. Sauty, C., Trussoni, E. and Tsinganos, K.: 2002, A and A 389, 1068.ADSCrossRefGoogle Scholar
  15. Sauty, C., Trussoni, E. and Tsinganos, K.: 2004, A and A 421, 797.ADSCrossRefGoogle Scholar
  16. Shu, F.H., Najita, J., Ostriker, E., Wilkin, F., Ruden, S. and Lizano, S.: 1994, ApJ 429, 781.ADSCrossRefGoogle Scholar
  17. Tsinganos, K.C.: 1982, ApJ 252, 775.MathSciNetADSCrossRefGoogle Scholar
  18. Tsinganos, K. and Trussoni, E.: 1991, A and A 249, 156.ADSMATHGoogle Scholar
  19. Tsinganos, K., Sauty, C., Surlantzis, G., Trussoni, E. and Contopoulos, J.: 1996, MNRAS 283, 811. Tsinganos, K. and Bogovalov, S.V.: 2002, MNRAS 337, 553.Google Scholar
  20. Ustyugova, G.V., Koldoba, A.V., Romanova, M.M., Chechetkin, V.M. and Lovelace, R.V.E.: 1999, ApJ 516, 221.ADSCrossRefGoogle Scholar
  21. Vlahakis, N. and Tsinganos, K.: 1998, MNRAS 298, 777.ADSCrossRefGoogle Scholar
  22. Vlahakis, N. and Tsinganos, K.: 1999, MNRAS 307, 279.ADSCrossRefGoogle Scholar
  23. Vlahakis, N., Tsinganos, K., Sauty, C. and Trussoni, E.: 2000, MNRAS 318, 417.ADSCrossRefGoogle Scholar
  24. Vlahakis, N. and Königl, A.: 2003, ApJ 596, 1080.ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2004

Authors and Affiliations

  • K. Tsinganos
    • 1
  • N. Vlahakis
    • 1
  • S. V. Bogovalov
    • 2
  • C. Sauty
    • 3
  • E. Trussoni
    • 4
  1. 1.Department of PhysicsUniversity of Athens, PanepistimiopolisZografosGreece
  2. 2.Astrophysics InstituteMoscow State Engineering Physics InstituteMoscowRussia
  3. 3.A.P.C. and Obs. de Paris, L.U.Th.Université Paris 7MeudonFrance
  4. 4.INAF, Osservatorio Astron. TorinoPino TorineseItaly

Personalised recommendations