Self-similar Lagrangian hydrodynamics of beam-heated solar flare atmospheres

Abstract

view Abstract Citations (3) References (24) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Self-similar Lagrangian Hydrodynamics of Beam-heated Solar Flare Atmospheres Brown, John C. ; Emslie, A. Gordon Abstract The one-dimensional hydrodynamic problem in Lagrangian coordinates (Y, t) is considered for which the specific energy input Q has a power-law dependence on both Y and t, and the initial density distribution is rho(0) which is directly proportional to Y exp gamma. In regimes where the contributions of radiation, conduction, quiescent heating, and gravitational terms in the energy equation are negligible compared to those arising from Q, the problem has a self-similar solution, with the hydrodynamic variables depending only on a single independent variable which is a combination of Y, t, and the dimensional constants of the problem. It is then shown that the problem of solar flare chromospheric heating due to collisional interaction of a beam of electrons (or protons) with a power-law energy spectrum can be approximated by such forms of Q(Y, t) and rho(0)(Y), and that other terms are negligible compared to Q over a restricted regime early in the flare. Publication: The Astrophysical Journal Pub Date: April 1989 DOI: 10.1086/167367 Bibcode: 1989ApJ...339.1123B Keywords: Magnetohydrodynamics; Solar Atmosphere; Solar Flares; Solar Heating; Computational Astrophysics; Plasma Heating; Stellar Models; Solar Physics; HYDRODYNAMICS; SUN: FLARES full text sources ADS |