Inverse Estimation of Main Parameters of SLW Model with Few Gray Gases to Simulate the Radiation in Non-Gray Media

[+] Author and Article Information
Amir Dehghanian

Mechanical Engineering Department, Shahid Bahonar University of Kerman, 76175-133, Kerman, Iran

Seyed M. Hosseini Sarvari

Mechanical Engineering Department, Shahid Bahonar University of Kerman, 76175-133, Kerman, Iran

1Corresponding author.

ASME doi:10.1115/1.4037496 History: Received October 05, 2016; Revised June 08, 2017


The aim of this study is to present a reduced SLW model to simulate the radiation heat transfer in non-gray media at high temperatures. Inverse approach is used to divide the absorption cross-section band into a clear gas with one gray gas and two gray gases, which are called the S-1 and S-2 approaches, respectively. The unknown absorption cross-sections are determined from the knowledge of measured total incident intensities received by wall surfaces. In order to simulate the exact solution of radiation heat transfer in non-gray gaseous media, the discrete transfer method in combination with S-20 model is used, where the non-gray medium is replaced with a set of a clear gas and 20 gray gases. The inverse problem is formulated as an optimization problem to minimize a least square objective function, which is solved by the conjugate gradient method. The accuracy of the present method is verified by comparing with previous researches and the S-20 approach with a large number of gray gases. The effects of noisy data on the inverse solution are investigated by considering an extreme case with large measurement error. The results show that the unknown absorption cross-sections are retrieved well, even for noisy data.

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