An inverse radiation-conduction analysis is performed for simultaneous estimation of the thermal properties in an absorbing, emitting, and linear-anisotropically scattering medium with spatially variable refractive index. The discrete ordinates method in conjugation with finite volume method is adopted to solve the direct problem. The conjugate gradient method (CGM) is employed to simultaneously estimate the conduction-radiation parameter, optical thickness, single scattering albedo, scattering phase function, and the wall emissivities from the knowledge of the exit radiation intensities over the boundaries. The effects of these parameters and the measurement errors on the precision of the inverse analysis are investigated. Results show that the proposed inverse approach can successfully retrieve the unknown parameters for different refractive index profiles.
Inverse Estimation of Thermal Properties in a Semitransparent Graded Index Medium With Radiation-Conduction Heat Transfer
Shahid Bahonar University of Kerman,
Kerman 76175-133, Iran
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received January 9, 2018; final manuscript received March 30, 2018; published online May 22, 2018. Assoc. Editor: Zhixiong Guo.
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Khayyam, S., and Hosseini Sarvari, S. M. (May 22, 2018). "Inverse Estimation of Thermal Properties in a Semitransparent Graded Index Medium With Radiation-Conduction Heat Transfer." ASME. J. Heat Transfer. September 2018; 140(9): 092701. https://doi.org/10.1115/1.4039992
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