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

► An analytical solution of the heat equation is obtained in the Hankel–Laplace spaces. ► An inverse method is implemented using temperatures coming from infrared thermography as input data. ► The unknown 2D transient heat flux can be recovered with a high accuracy using a low CPU. In this paper, we...

Full description

Saved in:
Bibliographic Details
Published in:Experimental thermal and fluid science 2012, Vol.36, p.56-64
Main Authors: Gradeck, M., Ouattara, J.A., Rémy, B., Maillet, D.
Format: Article
Language:English
Subjects:
Applied sciences
Conduction
Cooling
Engineering Sciences
Exact sciences and technology
Fluids mechanics
Fundamental areas of phenomenology (including applications)
Hankel transform
Hardening. Tempering
Heat conduction
Heat flux
Heat transfer
Heat treatment
Impinging jet
Infrared
Instruments, apparatus, components and techniques common to several branches of physics and astronomy
Integral transform
Inverse
Inverse heat conduction problem (IHCP)
IR thermography
Mechanics
Metals. Metallurgy
Physics
Production techniques
Reactive fluid environment
Thermal instruments, apparatus and techniques
Thermics
Thermography
Thermometry
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:► An analytical solution of the heat equation is obtained in the Hankel–Laplace spaces. ► An inverse method is implemented using temperatures coming from infrared thermography as input data. ► The unknown 2D transient heat flux can be recovered with a high accuracy using a low CPU. 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 °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.
ISSN:0894-1777
1879-2286
DOI:10.1016/j.expthermflusci.2011.08.003