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Estimation of slab surface radiative emissivities by solving an inverse coupled conduction, convection, and radiation problem

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Indexed by:期刊论文

Date of Publication:2017-11-17

Journal:NUMERICAL HEAT TRANSFER PART A-APPLICATIONS

Included Journals:SCIE、EI

Volume:72

Issue:10

Page Number:765-779

ISSN No.:1040-7782

Abstract:Slab surface radiative emissivities severely affect the radiative heat transfer in a reheating furnace, as well as the slabs' coupled conduction, convection, and radiation. Accurate evaluation of these parameters is of significance to ensure the high accuracy of the mathematical model for a reheating furnace, which is beneficial to the energy saving. However, it is difficult to directly and accurately measure these parameters. In this article, slab surface radiative emissivities in a reheating furnace are estimated by solving a nonlinear inverse problem, which is an inverse coupled conduction, convection, and radiation problem. An efficient and accurate gradient method, i.e., Levenberg-Marquardt algorithm, is applied to obtain the solution of the inverse problem. First, a finite difference method and the complex- variable- differentiation method are used for sensitivity analysis, and the inversion accuracy coupled with the efficiency is demonstrated. Then, effects of initial guesses, measurement errors, and measurement locations on estimated slab surface radiative emissivities are investigated in detail. Finally, conclusions are drawn based on the results and analysis.

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