A new numerical model is developed to simulate the 3D inverse heat transfer in a composite target with pyrolysis and outgassing effects. The gas flow channel size and gas addition velocity are determined by the rate equation of decomposition chemical reaction. The thermophysical properties of the composite considered are temperature-dependent. A nonlinear conjugate gradient method (CGM) is applied to solve the inverse heat conduction problem for high-energy laser-irradiated composite targets. It is shown that the front-surface temperature can be recovered with satisfactory accuracy based on the temperature/heat flux measurements on the back surface and the temperature measurement at an interior plane.
Issue Section:
Combustion and Reactive Flows
References
1.
Agarwal
, B. D.
, and Broutman
, L. J.
, 1990
, Analysis and Performance of Fiber Composites
, 2nd ed., Wiley
, New York
.2.
Reed
, H. E.
, and Rice
, M. H.
, 1993
, “Failure of Solid Rocket Engines due to Laser Radiation Exposure
,” Report No. SSS-DFR-93-14222
.3.
Chen
, J. K.
, Perea
, A.
, and Allahdadi
, F. A.
, 1995
, “A Study of Laser/Composite Material Interactions
,” Compos. Sci. Technol.
, 54
, pp.
35
–44
.10.1016/0266-3538(95)00034-84.
Zhou
, J.
, Zhang
, Y.
, Chen
, J. K.
, and Smith
, D. E.
, 2008
, “A Non-Equilibrium Thermal Model for Rapid Heating and Pyrolysis of Organic Composites
,” ASME J. Heat Transfer
, 130
, p. 064501
.10.1115/1.28973375.
Zhou
, J.
, Zhang
, Y.
, and Chen
, J. K.
, 2007
, “Numerical Simulation of Compressible Gas Flow and Heat Transfer in a Microchannel Surrounded by Solid Media
,” Int. J. Heat Fluid Flow
, 28
(6
), pp.
1484
–1491
.10.1016/j.ijheatfluidflow.2007.03.0016.
Dell'Erba
, M.
, Galantucci
, L. M.
, and Miglietta
, S.
, 1992
, “An Experimental Study on Laser Drilling and Cutting of Composite Materials for the Aerospace Industry Using Excimer and CO2 Sources
,” Compos. Manuf.
, 3
(1
), pp.
14
–19
.10.1016/0956-7143(92)90178-W7.
Beck
, J. V.
, Blackwell
, B.
, and St. Clair
, C. R.
, 1985
, Inverse Heat Conduction: Ill Posed Problems
, Wiley
, New York
.8.
Özisik
, M. N.
, and Orlande
, H. R. B.
, 2000
, Inverse Heat Transfer: Fundamentals and Applications
, Taylor & Francis
, New York
.9.
Yang
, C.-Y.
, and Chen
, C.-K.
, 1996
, “The Boundary Estimation in Two-Dimensional Inverse Heat Conduction Problems
,” J. Phys. D
, 29
, pp.
333
–339
.10.1088/0022-3727/29/2/00910.
Emery
, A. F.
, Nenarokomov
, A. V.
, and Fadale
, T. D.
, 2000
, “Uncertainties in Parameter Estimation: The Optimal Experimental Design
,” Int. J. Heat Mass Transfer
, 43
, pp.
3331
–3339
.10.1016/S0017-9310(99)00378-611.
Frankel
, J. I.
, Osborne
, G. E.
, and Taira
, K.
, 2006
, “Stabilization of Ill-Posed Problems Through Thermal Rate Sensors
,” J. Thermophys. Heat Transfer
, 20
(2
), pp.
238
–246
.10.2514/1.913612.
Loulou
, T.
, and Scott
, E. P.
, 2006
, “An Inverse Heat Conduction Problem With Heat Flux Measurements
,” Int. J. Numer. Methods Eng.
, 67
, pp.
1587
–1616
.10.1002/(ISSN)1097-020713.
Aviles-Ramos
, C.
, Haji-Sheikh
, A.
, and Beck
, J. V.
, 1998
, “Exact Solution of Heat Conduction in Composite Materials and Application to Inverse Problems
,” ASME J. Heat Transfer
, 120
, pp.
592
–599
.10.1115/1.282431614.
Zhou
, J.
, Zhang
, Y.
, Chen
, J. K.
, and Feng
, Z. C.
, 2010
, “Inverse Estimation of Surface Heating Condition in a Three-Dimensional Object Using Conjugate Gradient Method
,” Int. J. Heat Mass Transfer
, 53
(13–14
), pp.
2643
–2654
.10.1016/j.ijheatmasstransfer.2010.02.04815.
Anderson
, J. D.
, 2003
, Modern Compressible Flow With Historical Perspective
, 3rd ed., McGraw-Hill
, New York
.16.
John
, J. E.
, and Keith
, T. G.
, 2006
, Gas Dynamics
, 3rd ed., Prentice-Hall
, Englewood Cliffs, NJ
.17.
Smith
, D. E.
, Zhang
, Y.
, and Chen
, J. K.
, 2006
, “HELVAMP: Laser/Composite Interaction Research Project
,” Final Technical Report Submitted to Air Force Research Laboratory/Ball Aerospace
.18.
Childs
, P. R. N.
, 2002
, “Advances in Temperature Measurement
,” Adv. Heat Transfer
, 36
, pp.
111
–181
.10.1016/S0065-2717(02)80006-5Copyright © 2012 by ASME
You do not currently have access to this content.
