Abstract
view Abstract Citations (3) References (10) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS The heating of a thermally conducting stratified medium. II. A simple plane model on an atmosphere. Lerche, I. ; Low, B. C. Abstract Exact solutions of the following theoretical problem are presented: A plane atmosphere is in hydrostatic equilibrium with a uniform gravity. The ideal gas law is assumed. Heat is generated everywhere at a rate proportional to the local density. The atmosphere is maintained in a steady state through cooling by thermal conduction and radiation. This problem is reducible to quadratures for a thermal conductivity which is an arbitrary, but prescribed, function of the temperature, and for a radiative loss which is expressible as the product of the density and an arbitrary, but prescribed, function of the pressure. The analysis is carried out for the case of power law thermal conductivity, and a radiative loss proportional to the square of the density and to the first power of the temperature. The radiative cooling function adopted here has the basic mathematical form for an optically thin medium. The solutions reproduce the macroscopic ordering of a hot 'corona' separated from a 'photosphere' by a layer of temperature minimum. The analytic solutions allow direct illustration of the interplay between steady energy transport and the requirements of hydrostatic equilibrium. Publication: The Astrophysical Journal Pub Date: October 1980 DOI: 10.1086/158359 Bibcode: 1980ApJ...241..459L Keywords: Atmospheric Heating; Atmospheric Models; Atmospheric Stratification; Magnetohydrodynamic Flow; Solar Atmosphere; Thermal Conductivity; Atmospheric Radiation; Radiative Transfer; Solar Corona; Temperature Effects; Solar Physics; Atmospheres:Hydrodynamics; Solar Atmosphere:Models full text sources ADS |
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
