Exact solutions to a time-dependent vacuum transport problem

Details Exact solutions to a time-dependent vacuum transport problem Exact solutions to a time-dependent vacuum transport problem

Nov 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985jqsrt..34..435h&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer (ISSN 0022-4073), vol. 34, Nov. 1985, p. 435-445. DOE-sponsored rese

Statistics

Computation

2

Computational Astrophysics, Nebulae, Radiative Heat Transfer, Stellar Radiation, Albedo, Integral Equations, Point Sources, Step Functions, Time Dependence, Variable Stars

Scientific paper

A point source of radiation emitting into an empty spherical volume with a well-defined boundary is considered. This geometry represents, for example, an eruptive variable star at the center of a spherical-shell nebula. The nebula has a fixed albedo. For various time histories of the emission of the central star, solutions are derived for the time dependence of the flux falling on the nebular boundary. This flux has two components: the direct flux from the star and the diffuse flux reemitted by the boundary. Solutions generally involve combinations of hyperbolic sines and cosines and change character abruptly at multiples of t(c), the light-travel time across the nebula.

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