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Computational Thermal Sciences: An International Journal
ESCI SJR: 0.249 SNIP: 0.434 CiteScore™: 0.7

ISSN 印刷: 1940-2503
ISSN オンライン: 1940-2554

Computational Thermal Sciences: An International Journal

DOI: 10.1615/ComputThermalScien.2017019557
pages 335-349

A NUMERICAL APPROACH TO INVERSE BOUNDARY DESIGN PROBLEM OF COMBINED RADIATION-CONDUCTION WITH DIFFUSE SPECTRAL DESIGN SURFACE

Mohamad Omid Panah
Mechanical Engineering Department, School of Engineering, Shahid Bahonar University of Kerman, Kerman, Iran
S. A. Gandjalikhan Nassab
Mechanical Engineering Department, School of Engineering, Shahid Bahonar University of Kerman, Kerman, Iran
S. M. Hosseini Sarvari
Mechanical Engineering Department, School of Engineering, Shahid Bahonar University of Kerman, Kerman, Iran

要約

In the present work, an optimization technique is applied for inverse boundary design problem of radiative-conductive heat transfer in a square cavity. All the boundary walls except the design surface are gray. The main goal is to verify the effect of spectral behavior of the design surface on the solution of an inverse problem. The conjugate gradient method is used to find the unknown temperature distribution over the heater surface, which is located along the top wall, to satisfy the prescribed temperature and heat flux distributions over the design surface. The variation of emissivity with respect to the wavelength is approximated by considering a set of spectral bands with constant emissivity, and then the radiative transfer equation is solved by the discrete ordinates method for each band. The sensitivity problem is obtained by differentiation of all governing equations and related boundary conditions with respect to the unknown variable (heater temperature). The performance of the present method is evaluated by comparing the results to those obtained by considering a diffuse gray design surface. Finally, an attempt is made to investigate the spectral behavior of the design surface on the calculated temperature distribution over the heater surface. For the direct problem, the present numerical results are compared to theoretical findings in literature and a good consistency is found.