Development of the zone method for inhomogeneous non-isothermal participating plane layer media

作者：Byun K H^*

来源：Journal of Mechanical Science and Technology, 2016, 30(10): 4765-4771.

DOI：10.1007/s12206-016-0948-1

• Zone method
• Inhomogeneous
• Non-isothermal
• Matrix
• Participating plane layer
• Gray diffuse wall

The purpose of this paper is to present the first step in developing the zone method for inhomogeneous media that has never been published in the literature. It was derived and formulated using matrix relations for a plane layer system enclosing a non-isothermal and inhomogeneous gray and absorbing, emitting and isotropically scattering media. The media are enclosed by two infinite parallel plates that are opaque, diffuse, and gray, but the formulations allow transparent plate. The formulations recover homogeneous cases and satisfy the conservation relations. The accuracy of the zone method is verified by comparing with available exact solutions. Through the accuracy check, validity of the zone method is also shown. Thus, formulations presented can be used to test the accuracy of the works by others for the problem in the study that has many applications in engineering and science.

• 出版日期2016-10