On the thermal structure and stability of configurations with heat diffusion and a gain-loss function. I - General results

Abstract

view Abstract Citations (6) References (9) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS On the Thermal Structure and Stability of Configurations with Heat Diffusion and a Gain-Loss Function. I. General Results Ibanez S., Miguel H. ; Parravano, Antonio ; Mendoza B., Cesar A. Abstract The range of values of the parameters characterizing the energy transport mechanisms and boundary conditions, for which slablike, cylindrical, and spherical structures are thermally stable, are determined. The configurations are assumed to be heated at a rate about T exp m cooled at a rate about T exp n and with a thermal conductivity coefficient about Tk. The linear stability of the trivial solution of the steady heat balance equation was carried out analytically. The remaining families of solutions were obtained numerically. They were classified, the minimal boundary temperature for steady solutions obtained, their stability analyzed, and their general properties depending on the indexes nu (symmetry), m, n, and k were outlined. Publication: The Astrophysical Journal Pub Date: October 1992 DOI: 10.1086/171846 Bibcode: 1992ApJ...398..177I Keywords: Energy Transfer; Plasma Diffusion; Plasma Heating; Thermal Conductivity; Thermal Stability; Transport Properties; Heat Balance; Plasma Temperature; Temperature Distribution; Plasma Physics; HYDRODYNAMICS; INSTABILITIES; PLASMAS; RADIATIVE TRANSFER full text sources ADS |