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.
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September 2018
This article was originally published in
Journal of Heat Transfer
Research-Article
Inverse Estimation of Thermal Properties in a Semitransparent Graded Index Medium With Radiation-Conduction Heat Transfer
Sina Khayyam,
Sina Khayyam
Mechanical Engineering Department,
Shahid Bahonar University of Kerman,
Kerman 76175-133, Iran
Shahid Bahonar University of Kerman,
Kerman 76175-133, Iran
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S. M. Hosseini Sarvari
S. M. Hosseini Sarvari
Mechanical Engineering Department,
Shahid Bahonar University of Kerman,
Kerman 76175-133, Iran
e-mail: sarvari@uk.ac.ir
Shahid Bahonar University of Kerman,
Kerman 76175-133, Iran
e-mail: sarvari@uk.ac.ir
Search for other works by this author on:
Sina Khayyam
Mechanical Engineering Department,
Shahid Bahonar University of Kerman,
Kerman 76175-133, Iran
Shahid Bahonar University of Kerman,
Kerman 76175-133, Iran
S. M. Hosseini Sarvari
Mechanical Engineering Department,
Shahid Bahonar University of Kerman,
Kerman 76175-133, Iran
e-mail: sarvari@uk.ac.ir
Shahid Bahonar University of Kerman,
Kerman 76175-133, Iran
e-mail: sarvari@uk.ac.ir
1Corresponding author.
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.
J. Heat Transfer. Sep 2018, 140(9): 092701 (10 pages)
Published Online: May 22, 2018
Article history
Received:
January 9, 2018
Revised:
March 30, 2018
Citation
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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