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APPLICATION OF SYNTHETIC KERNEL (SKN) APPROXIMATION TO RADIATIVE TRANSFER PROBLEMS IN PARTICIPATING, LINEARLY ANISOTROPICALLY SCATTERING HOMOGENEOUS AND INHOMOGENEOUS SOLID SPHERICAL MEDIUM

DOI: 10.1615/ICHMT.2007.RadTransfProc.140
10 pages

Mesut Tekkalmaz
Osmangazi University, Mechanical Engineering Department, School of Engineering and Architecture, TURKEY

Zekeriya Altac
Osmangazi University, Mechanical Engineering Department, School of Engineering and Architecture, TURKEY

Resumo

The Synthetic Kernel (SKN) method is applied to a solid spherical absorbing, emitting and linearly anisotropically scattering homogeneous and inhomogeneous medium. The SKN method relies on approximating the integral transfer kernels by synthetic kernels. The radiative integral transfer equation is then reducible to a set of coupled second-order differential equations. The SKN method which uses Gauss quadratures is tested against integral equation and the discrete-ordinates S8 solutions for various optical radius and scattering albedo variations.

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