A modified form of the sequential function specification method (SFSM) is developed with specific consideration given to multiple time scales in an effort to avoid overregularization of the solution estimates. The authors extend their approach to solve the inverse heat conduction problem (IHCP) associated with the application of thermal barrier coatings (TBC) to in-cylinder surfaces of an internal combustion engine. Subsurface temperature measurements are used to calculate surface heat flux profiles. The modified inverse solver is validated ex situ using a custom fabricated radiation chamber. The solution methodology is extended in situ to evaluate temperature data collected from a single-cylinder research engine operating in homogeneous charge compression ignition (HCCI) mode. Crank angle resolved, thermal barrier coating surface temperature and heat flux profiles are produced—enabling correlation of thermal conditions at the gas-wall boundary with engine performance, emission, and efficiency metrics.

Issue Section:
Combustion and Reactive Flows
Keywords:
Combustion, Conduction, Heat and mass transfer, Reactive flows
Topics:
Engines, Heat flux, Probes, Radiation (Physics), Temperature, Thermal barrier coatings, Combustion, Heat transfer, Heat conduction

References

1.
Chang
,
J.
,
Filipi
,
Z.
,
Assanis
,
D.
,
Kuo
,
T. W.
,
Najt
,
P.
, and
Rask
,
R.
,
2005
, “
Characterizing the Thermal Sensitivity of a Gasoline Homogeneous Charge Compression Ignition Engine With Measurements of Instantaneous Wall Temperature and Heat Flux
,”
Int. J. Engine Res.
,
6
(
4
), pp.
289
–
310
.
Google Scholar
Crossref
Search ADS
 
2.
Alkidas
,
A. C.
,
1980
, “
Heat Transfer Characteristics of a Spark-Ignition Engine
,”
ASME J. Heat Transfer
,
102
(
2
), pp.
189
–
193
.
Google Scholar
Crossref
Search ADS
 
3.
Güralp
,
O. A.
,
2004
, “
Development and Application of a Telemetry System for Piston Surface Temperature Measurements in a Homogeneous Charge Compression Ignition Engine
,” MS thesis, University of Michigan, Ann Arbor, MI.
4.
Luo
,
X.
,
Yu
,
X.
, and
Jansons
,
M.
,
2015
, “
Simultaneous In-Cylinder Surface Temperature Measurements With Thermocouple, Laser-Induced Phosphorescence, and Dual Wavelength Infrared Diagnostic Techniques in an Optical Engine
,”
SAE
Technical Paper No. 2015-01-1658.
5.
Hendricks
,
T.
, and
Ghandhi
,
J.
,
2012
, “
Estimation of Surface Heat Flux in IC Engines Using Temperature Measurements: Processing Code Effects
,”
SAE
Technical Paper No. 2012-01-1208.
6.
Ebadi
,
A.
,
Mehdi
,
F.
, and
White
,
C.
,
2015
, “
An Exact Integral Method to Evaluate Wall Heat Flux in Spatially Developing Two-Dimensional Wall-Bounded Flows
,”
Int. J. Heat Mass Transfer
,
84
, pp.
856
–
861
.
Google Scholar
Crossref
Search ADS
 
7.
Güralp
,
O.
,
Hoffman
,
M.
,
Assanis
,
D. N.
,
Filipi
,
Z.
,
Kuo
,
T. W.
,
Najt
,
P.
, and
Rask
,
R.
,
2006
, “
Characterizing the Effect of Combustion Chamber Deposits on a Gasoline HCCI Engine
,”
SAE
Technical Paper No. 2006-01-3277.
8.
Güralp
,
O.
,
Hoffman
,
M.
,
Assanis
,
D. N.
,
Filipi
,
Z.
,
Kuo
,
T. W.
,
Najt
,
P.
, and
Rask
,
R.
,
2009
, “
Thermal Characterization of Combustion Chamber Deposits on the HCCI Engine Piston and Cylinder Head Using Instantaneous Temperature Measurements
,”
SAE
Technical Paper No. 2009-01-0668.
9.
Tikhonov
,
A. N.
, and
Arsenin
,
V. I.
,
1977
,
Solutions of Ill-Posed Problems
,
V. H. Winston
,
Washington, DC
.
10.
Beck
,
J. V.
,
1985
,
Inverse Heat Conduction: Ill-Posed Problems
,
Wiley-Interscience
,
New York
.
11.
Ozisik
,
M. N.
,
2000
,
Inverse Heat Transfer: Fundamentals and Applications
,
Taylor & Francis
,
New York
.
12.
Beck
,
J. V.
,
1962
, “
Calculation of Surface Heat Flux From an Internal Temperature History
,”
ASME
Paper No. 62.
13.
Beck
,
J. V.
, and
Wolf
,
H.
,
1965
, “
Nonlinear Inverse Heat Conduction Problem
,”
Mechanical Engineering.
87
(
10
), p. 77.
14.
Myers
,
G. E.
,
1998
, “
Analytical Methods in Conduction Heat Transfer
, AMCHT Publications, Madison, WI.
15.
Ozisik
,
M. N.
,
1993
,
Heat Conduction
,
Wiley
,
New York
.
16.
Ozisik
,
N.
,
1994
,
Finite Difference Methods in Heat Transfer
,
CRC Press
,
Boca Raton, FL
.
17.
Woodbury
,
K. A.
, ed.,
2002
,
Inverse Engineering Handbook
,
CRC Press
,
Boca Raton, FL
.
18.
Güralp
,
O.
,
Najt
,
P.
, and
Filipi
,
Z.
,
2013
, “
Method for Determining Instantaneous Temperature at the Surface of Combustion Chamber Deposits in an HCCI Engine
,”
ASME J. Eng. Gas Turbines Power
,
135
(
8
), p.
081501
.
Google Scholar
Crossref
Search ADS
 
19.
Keanini
,
R. G.
,
Xianwu
,
L.
, and
Cherukuri
,
H. P.
,
2005
, “
A Modified Sequential Function Specification Finite Element-Based Method for Parabolic Inverse Heat Conduction Problems
,”
Comput. Mech.
,
36
(
2
), pp.
117
–
128
.
Google Scholar
Crossref
Search ADS
 
20.
EXACT
,
2016
, “
Exact Analytical Conduction Toolbox
,”
University of Nebraska
, Lincoln, NE.http://exact.unl.edu/exact/home/home.php
21.
Medtherm, 2014, “
Medtherm
,”
Medtherm Corporation
, Huntsville, AL.http://medtherm.com/
22.
Jordan
,
E. H.
,
Xie
,
L. L.
,
Gell
,
M.
,
Padture
,
N.
,
Cetegen
,
B.
,
Ozturk
,
A.
,
Ma
,
X.
,
Roth
,
J.
,
Xiao
,
T. D.
, and
Bryant
,
P.
,
2004
, “
Superior Thermal Barrier Coatings Using Solution Precursor Plasma Spray
,”
J. Therm. Spray Technol.
,
13
(
1
), pp.
57
–
65
.
Google Scholar
Crossref
Search ADS
 
23.
Jadhav
,
A. D.
,
Padture
,
N.
,
Jordan
,
E.
,
Gell
,
M.
,
Miranzo
,
P.
, and
Fuller
,
E.
,
2006
, “
Low-Thermal-Conductivity Plasma-Sprayed Thermal Barrier Coatings With Engineered Microstructures
,”
Acta Mater.
,
54
(
12
) pp.
3343
–
3349
.
Google Scholar
Crossref
Search ADS
 
24.
Hoffman
,
M. A.
,
Lawler
,
B. J.
,
Filipi
,
Z. S.
,
Güralp
,
O. A.
, and
Najt
,
P. M.
,
2014
, “
Development of a Device for the Nondestructive Thermal Diffusivity Determination of Combustion Chamber Deposits and Thin Coatings
,”
ASME J. Heat Transfer
,
136
(
7
), p.
071601
.
Google Scholar
Crossref
Search ADS
 
25.
AVL, 2016, “Measure & Control; Indicating Amplifiers,” AVL LIST GmbH, Graz, Austria, https://www.avl.com/-/indicating-amplifiers
26.
AVL, 2009, “AVL Product Description: Indiset Advanced Gambit™,” AVL List GmbH, Graz, Austria, https://www.avl.com/documents/10138/885893/DataSheet_642.pdf
27.
Eilers
,
P. H. C.
,
2003
, “
A Perfect Smoother
,”
Anal. Chem.
,
75
(
14
), pp.
3631
–
3636
.
Google Scholar
Crossref
Search ADS
PubMed
 
28.
Powell
,
T.
,
O'Donnell
,
R.
,
Killingsworth
,
N.
,
Hoffman
,
M.
,
Prucka
,
R.
, and
Filipi
,
Z.
, “
Simulating the Gas-Wall Boundary Conditions in a Thermal Barrier Coated Low Temperature Combustion Engine
,”
Int. J. Powertrains
, (in press).
29.
Chang
,
J.
,
Güralp
,
O.
,
Filipi
,
Z.
,
Assanis
,
D. N.
,
Kuo
,
T. W.
,
Najt
,
P.
, and
Rask
,
R.
,
2004
, “
New Heat Transfer Correlation for an HCCI Engine Derived From Measurements of Instantaneous Surface Heat Flux
,”
SAE
Technical Paper No. 2004-01-2996.
Copyright © 2017 by ASME
You do not currently have access to this content.