کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1741165 | 1017378 | 2011 | 9 صفحه PDF | دانلود رایگان |
We consider a simplified system of equations which models the transfer of energy with conductive, convective and radiative effects inside a convex region filled with a compressible fluid whose velocity field is known. The asymptotic analysis for positive but small distance from an optically thick medium leads to a one-dimensional system of differential equation which couples the temperature and the radiative intensity. We show that this system obeys a conservation law and this feature is explored in order to reduce the problem to a single one-dimension transport equation with anisotropic scattering. This equation admits a formulation in terms of integral operators in a suitable function space which allows us to establish the existence of a solution and infer its behavior far from the boundary. We also provide numerical simulations and comparison with the theoretical results which we have shown in order to validate our methodology.
► We establish the existence of solutions for a boundary layer problem.
► We study the asymptotics of the convective-radiative transport equation.
► We establish the existence of solutions of a one-dimensional transport equation with signed kernel.
Journal: Progress in Nuclear Energy - Volume 53, Issue 8, November 2011, Pages 1105–1113