Abstract

The finite-volume method for radiation in a three-dimensional non-orthogonal gas turbine combustion chamber with absorbing, emitting and anisotropically scattering medium is presented. The governing radiative transfer equation and its discretization equation using the step scheme are examined, while geometric relations which transform the Cartesian coordinate to a general body-fitted coordinate are provided to close the finite-volume formulation. The scattering phase function is modeled by a Legendre polynomial series. After a benchmark solution for three-dimensional rectangular combustor is obtained to validate the present formulation, a problem in three-dimensional non-orthogonal gas turbine combustor is investigated by changing such parameters as scattering albedo, scattering phase function and optical thickness. Heat flux in case of isotropic scattering is the same as that of non-scattering with specified heat generation in the medium. Forward scattering is found to produce higher radiative heat flux at hot and cold wall than backward scattering and optical thickness is also shown to play an important role in the problem. Results show that finite-volume method for radiation works well in orthogonal and non-orthogonal systems.

Keywords

• Radiative Heat Transfer;
• Gas Turbine Combustor;
• Finite-Volume Method for Radiation;
• Control Angle;
• Directional Weights;
• Scattering Albedo;
• Scattering Phase Function;
• Optical Thickness

• 복사열전달;
• 가스터빈 연소기;
• 유한체적복사해법;
• 검사각도;
• 방향가중치;
• 산란알베도;
• 산란위상함수;
• 광학두께;