Theoretical Aspects of Radiative Energy Transport for Nanoscale System: Thermodynamic Uncertainty

Author(s):  
Andrei Moldavanov
Author(s):  
Tianshu Liu ◽  
John P. Sullivan ◽  
Keisuke Asai ◽  
Christian Klein ◽  
Yasuhiro Egami

The effect of radiative energy transport on the onset and evolution of natural convective flows is studied in a Rayleigh–Bénard system. Steady, axisymmetric flows of a radiatively participating fluid contained in a rigid-walled, vertical cylinder which is heated on the base, cooled on top, and insulated on the side wall are calculated by using the Galerkin finite element method. Bifurcation analysis techniques are used to investigate the changes in the flow structure due to internal radiation. The results of this two-parameter study – where the Rayleigh number, Ra and optical thickness, ז , are varied – apply to fluids ranging from opaque to nearly transparent with respect to infrared radiation. For any non-opaque fluid, internal radiation eliminates the static state that, without radiation, exists for all values of the Rayleigh number. This heat transfer mechanism also destroys a symmetry of the system that relates clockwise and counter-clockwise flows. The connectivity between characteristic flow families and the range of Ra where families are stable are found to depend greatly on ז . Results demonstrate the inadequacy of characterizing the behaviour of this system using simple notions of radiative transfer in optically thick or thin media; the nonlinear interaction of radiation and flow are far more complicated than these asymptotic limits would imply.


1990 ◽  
Vol 138 ◽  
pp. 181-184 ◽  
Author(s):  
Oskar Steiner ◽  
J.O. Stenflo

Multi-dimensional radiative energy transport is coupled self-consistently to magnetohydrostatic solutions for fluxtubes with rotational symmetry. It is shown that the photospheric layers of plage and network fluxtubes are heated by radiation by as much as 300 K at equal geometrical height. The amount of heating depends on the density reduction within the tube. The results are compared with observational data and the most recent semi-empirical model.


1987 ◽  
Vol 36 (7) ◽  
pp. 3279-3287 ◽  
Author(s):  
T. Mochizuki ◽  
K. Mima ◽  
N. Ikeda ◽  
R. Kodama ◽  
H. Shiraga ◽  
...  

As energy is released in coronal flare loops, strong temperature gradients may appear and large-scale flows can be set up. In the absence of, or in addition to, energetic particle beams, thermal conduction and mass motions are major processes that distribute energy throughout the flare atmosphere. We review basic physical concepts of the energy transport processes, and their observational evidence. We then turn to radiative energy transport, an often ignored processes that may constitute a major transfer mechanism, particularly into and throughout the dense, optically thick, chromospheric and photospheric layers. The basic physics of radiative energy transport is reviewed, and some specific examples discussed in detail, particularly in connection with upper photosphere heating and white light flare events.


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