Computer Science – Numerical Analysis
Scientific paper
Feb 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995apj...439.1034c&link_type=abstract
The Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 439, no. 2, p. 1034-1043
Computer Science
Numerical Analysis
85
Cooling, Coronal Loops, Magnetohydrodynamics, Numerical Analysis, Plasmas (Physics), Solar Flares, Conductive Heat Transfer, Mathematical Models, Radiative Heat Transfer, Scaling Laws, Temperature Distribution
Scientific paper
Theoretical models of the cooling of flare plasma are reexamined. By assuming that the cooling occurs in two separate phase where conduction and radiation, respectively, dominate, a simple analytic formula for the cooling time of a flare plasma is derived. Unlike earlier order-of-magnitude scalings, this result accounts for the effect of the evolution of the loop plasma parameters on the cooling time. When the conductive cooling leads to an 'evaporation' of chromospheric material, the cooling time scales L5/6/p1/6, where the coronal phase (defined as the time maximum temperature). When the conductive cooling is static, the cooling time scales as L3/4n1/4. In deriving these results, use was made of an important scaling law (T proportional to n2) during the radiative cooling phase that was forst noted in one-dimensional hydrodynamic numerical simulations (Serio et al. 1991; Jakimiec et al. 1992). Our own simulations show that this result is restricted to approximately the radiative loss function of Rosner, Tucker, & Vaiana (1978). for different radiative loss functions, other scaling result, with T and n scaling almost linearly when the radiative loss falls off as T-2. It is shown that these scaling laws are part of a class of analytic solutions developed by Antiocos (1980).
Antiochos Spiro K.
Cargill Peter J.
Mariska John T.
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