Solution of an inverse problem in the Hankel space - Infrared thermography applied to estimation of a transient cooling flux

被引:26
作者
Gradeck, M. [1 ]
Ouattara, J. A. [1 ]
Remy, B. [1 ]
Maillet, D. [1 ]
机构
[1] LEMTA Nancy Univ, CNRS, Vandoeuvre Les Nancy, France
关键词
IR thermography; Inverse heat conduction problem (IHCP); Impinging jet; Integral transform; Hankel transform; JET-FLOW RATE; HEAT-TRANSFER;
D O I
10.1016/j.expthermflusci.2011.08.003
中图分类号
O414.1 [热力学];
学科分类号
摘要
In this paper, we consider a two-dimensional inverse heat conduction problem (IHCP) in a jet cooling experiment. A nickel disk is heated by an induction device up to 600 degrees C before being cooled by a water jet impinging on its front side and, at the same time, the temperature on the rear side is measured by a high resolution infrared thermography. The transient heat flux at the cooled face is determined from the IR measurements. To achieve this goal, an inverse heat conduction problem (IHCP) is formulated using an analytical solution of the direct problem expressed in the Hankel space. Then, results of simulated experiments are given in order to illustrate the performance of this method but also its limitations. Finally, an example of heat flux estimation from real temperature measurements is made. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码:56 / 64
页数:9
相关论文
共 14 条
[1]  
Beck J.V., 1985, Inverse Heat Conduction: Ill-Posed Problems
[2]  
Bracewell Ronald N., 2000, The Fourier Transform and Its Applications
[3]   Heat transfer associated to a hot surface quenched by a jet of oil-in-water emulsion [J].
Gradeck, M. ;
Ouattara, A. ;
Maillet, D. ;
Gardin, P. ;
Lebouche, M. .
EXPERIMENTAL THERMAL AND FLUID SCIENCE, 2011, 35 (05) :841-847
[4]   Identification of boundary heat fluxes in a falling film experiment using high resolution temperature measurements [J].
Gross, S ;
Somers, M ;
Mhamdi, A ;
Al Sibai, F ;
Reusken, A ;
Marquardt, W ;
Renz, U .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2005, 48 (25-26) :5549-5562
[5]   Jet impingement boiling from a circular free-surface jet during quenching: Part 1 - Single-phase jet [J].
Hall, DE ;
Incropera, FP ;
Viskanta, R .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 2001, 123 (05) :901-910
[6]   Movement of maximum heat flux and wetting front during quenching of hot cylindrical block [J].
Hammad, J ;
Mitsutake, Y ;
Monde, M .
INTERNATIONAL JOURNAL OF THERMAL SCIENCES, 2004, 43 (08) :743-752
[7]   CONJUGATE-GRADIENT METHOD FOR DETERMINING UNKNOWN CONTACT CONDUCTANCE DURING METAL CASTING [J].
HUANG, CH ;
OZISIK, MN ;
SAWAF, B .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1992, 35 (07) :1779-1786
[8]   THE ESTIMATION OF SURFACE THERMAL-BEHAVIOR OF THE WORKING ROLL IN HOT-ROLLING PROCESS [J].
HUANG, CH ;
JU, TM ;
TSENG, AA .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1995, 38 (06) :1019-1031
[9]   Study of the jet-flow rate of cooling in machining .1. Theoretical analysis [J].
Li, XP .
JOURNAL OF MATERIALS PROCESSING TECHNOLOGY, 1996, 62 (1-3) :149-156
[10]   Study of the jet-flow rate of cooling in machining .2. Simulation study [J].
Li, XP .
JOURNAL OF MATERIALS PROCESSING TECHNOLOGY, 1996, 62 (1-3) :157-165