2D MHD modelling of compressible and heated coronal loops obtained via nonlinear separation of variables and compared to TRACE and SoHO observations 

Gordon Petrie Submitted: 20030704 05:42
An analytical MHD model of coronal loops with compressible flows and
including heating is compared to observational data.
The model is constructed via a systematic nonlinear separation of
the variables method used to calculate several classes of exact MHD
equilibria in Cartesian geometry and uniform gravity.
By choosing a particularly versatile solution class with a large
parameter space we are able to calculate models whose loop length,
shape, plasma density, temperature and velocity profiles are fitted
to loops observed with TRACE, SoHO/CDS and SoHO/SUMER. Synthetic emission
profiles are also calculated and fitted to the observed emission patterns.
An analytical discussion is given of the twodimenional balance of the
Lorentz force and the gas pressure gradient, gravity and inertial
forces acting along and across the loop.
These models are the first to include a fully consistent description
of the magnetic field, 2D geometry, plasma density and temperature,
flow velocity and thermodynamics of loops.
The consistently calculated heating profiles which are largely dominated
by radiative losses and concentrated at the footpoints are influenced by the
flow and are asymmetric,
being biased towards the upflow footpoint.
Authors: G.J.D. Petrie, C. Gontikakis, H. Dara, K. Tsinganos, M.J. Aschwanden
Projects: None

Publication Status: A&A (in press)
Last Modified: 20030704 05:42



2D MHD modelling of compressible and heated coronal loops obtained via nonlinear separation of variables and compared to TRACE and SoHO observations 

Gordon Petrie Submitted: 20030318 05:39
An analytical MHD model of coronal loops with compressible flows and
including heating is compared to observational data.
The model is constructed via a systematic nonlinear separation of
the variables method used to calculate several classes of exact MHD
equilibria in Cartesian geometry and uniform gravity.
By choosing a particularly versatile solution class with a large
parameter space we are able to calculate models whose loop length,
shape, plasma density, temperature and velocity profiles are fitted
to loops observed with TRACE, SoHO/CDS and SoHO/SUMER. Synthetic emission
profiles are also calculated and fitted to the observed emission patterns.
An analytical discussion is given of the twodimenional balance of the
Lorentz force and the gas pressure gradient, gravity and inertial
forces acting along and across the loop.
These models are the first to include a fully consistent description
of the magnetic field, 2D geometry, plasma density and temperature,
flow velocity and thermodynamics of loops.
The consistently calculated heating profiles which are largely dominated
by radiative losses are influenced by the flow and are asymmetrical
being concentrated at the upflow footpoint.
Authors: G.J.D. Petrie, C. Gontikakis, H. Dara, K. Tsinganos & M.J. Aschwanden
Projects:

Publication Status: submitted to A&A
Last Modified: 20030318 05:46




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