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In the name of God
Convection Heat Transfer
Supervisor: Dr. Goharkhah
Topic:
Inverse Heat Transfer Problems (IHTP)
Presenter: Siavash Azizi
Sahand University of Technology
Mechanical Engineering Faculty
25 December 2017
Table of Contents
 Introduction
 The importance of research
 History of work
 Application
 Classified
 Example I
 Example II
2 25 December 2017
 Direct Heat Problems
 Inverse Heat Problems
 Problem  ill – posed
 Answer  algorithm
3 25 December 2017
Introduction
 Unique Solution
 Problem Stability
The importance of research
4 25 December 2017
History of work Inverse Heat Transfer
Mathematician-Physicist-Engineer
 Tikhonov’s regularization procedure 1963-1977
 Alifanov’s iterative regularization technique 1974-
1995
 Beck’s function estimation approach 1962-1985
 Giedt: Heat transfer in gun 1955
 Stolz: Surface Temp. & heat flux in body quenched
1960
5 25 December 2017
History of work Inverse Convection
 Moutsouglou 1989-1990
An inverse convection problem
Elliptic inverse convection problem using a whole
domain regularization technique
 Ozisik & Huang 1992
Unknown heat flux in laminar flow through a parallel
plate
 Ozisik & Liu 1996
Estimation of inlet temperature profile in laminar duct
flow6 25 December 2017
Application
 Estimation of thermophysical properties of material
 Estimation of bulk radiation properties and boundary
conditions
 Estimation of inlet condition and boundary heat flux in forced
convection insides ducts
7 25 December 2017
Classified according heat transfer
 IHTP of Natural Convection
 IHTP of Forced Convection
 IHTP of simultaneous conduction and
convection
 IHTP of conduction
 IHTP of surface radiation
 IHTP of simultaneous conduction and radiation
 IHTP of phase change
8 25 December 2017
Classified according characteristic
 IHTP of boundary conditions
 IHTP of thermophysical properties
 IHTP of initial condition
 IHTP of source term
 IHTP of geometric characteristics of heated
body
9 25 December 2017
Example I
 Estimation of the inlet temperature profile in laminar
flow
10 25 December 2017
Example I
11 25 December 2017
Example I
12 25 December 2017
u 2.5 Cm/s
Re 400
h 12.8 Cm
n 63.5 Cm
q 500 W/m^2
Result Example I
13 25 December 2017
Example II
 Estimation of the axial variation of the wall heat flux in
laminar flow
14 25 December 2017
Example II
15 25 December 2017
To 20 C
b 1.6 m
h 0.01 m
y1 0.009 m
x1 0.1 m
rho 840 Kg/m^3
k 0.137 W/mC
Cp 2200 J/kgC
um 0.04 m/s
Result Example II
16 25 December 2017
Paper Example
17 25 December 2017
Estimation of the local heat-transfer coefficient in the
laminar flow regime in coiled tubes by the Tikhonov
regularization method
Paper Example
18 25 December 2017
References
25 December 201719
Authors Subject Year
M.Nacati Ozicik &
Helico R. B. Orlande
Inverse Heat Transfer Fundamental and applications 2000
Fabio Bozzoli
Luca Cattani
Sara Rainieri
Fermín S. Viloche
Bazán
Leonardo S. Borges
Estimation of the local heat-transfer coefficient in the
laminar flow regime in coiled tubes by the Tikhonov
regularization method
2014
20 25 December 2017
Thank you for your attention
Perhaps it is time to change our minds about the world!

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Inverse Heat Transfer Problems (IHTP)

  • 1. In the name of God Convection Heat Transfer Supervisor: Dr. Goharkhah Topic: Inverse Heat Transfer Problems (IHTP) Presenter: Siavash Azizi Sahand University of Technology Mechanical Engineering Faculty 25 December 2017
  • 2. Table of Contents  Introduction  The importance of research  History of work  Application  Classified  Example I  Example II 2 25 December 2017
  • 3.  Direct Heat Problems  Inverse Heat Problems  Problem  ill – posed  Answer  algorithm 3 25 December 2017 Introduction  Unique Solution  Problem Stability
  • 4. The importance of research 4 25 December 2017
  • 5. History of work Inverse Heat Transfer Mathematician-Physicist-Engineer  Tikhonov’s regularization procedure 1963-1977  Alifanov’s iterative regularization technique 1974- 1995  Beck’s function estimation approach 1962-1985  Giedt: Heat transfer in gun 1955  Stolz: Surface Temp. & heat flux in body quenched 1960 5 25 December 2017
  • 6. History of work Inverse Convection  Moutsouglou 1989-1990 An inverse convection problem Elliptic inverse convection problem using a whole domain regularization technique  Ozisik & Huang 1992 Unknown heat flux in laminar flow through a parallel plate  Ozisik & Liu 1996 Estimation of inlet temperature profile in laminar duct flow6 25 December 2017
  • 7. Application  Estimation of thermophysical properties of material  Estimation of bulk radiation properties and boundary conditions  Estimation of inlet condition and boundary heat flux in forced convection insides ducts 7 25 December 2017
  • 8. Classified according heat transfer  IHTP of Natural Convection  IHTP of Forced Convection  IHTP of simultaneous conduction and convection  IHTP of conduction  IHTP of surface radiation  IHTP of simultaneous conduction and radiation  IHTP of phase change 8 25 December 2017
  • 9. Classified according characteristic  IHTP of boundary conditions  IHTP of thermophysical properties  IHTP of initial condition  IHTP of source term  IHTP of geometric characteristics of heated body 9 25 December 2017
  • 10. Example I  Estimation of the inlet temperature profile in laminar flow 10 25 December 2017
  • 11. Example I 11 25 December 2017
  • 12. Example I 12 25 December 2017 u 2.5 Cm/s Re 400 h 12.8 Cm n 63.5 Cm q 500 W/m^2
  • 13. Result Example I 13 25 December 2017
  • 14. Example II  Estimation of the axial variation of the wall heat flux in laminar flow 14 25 December 2017
  • 15. Example II 15 25 December 2017 To 20 C b 1.6 m h 0.01 m y1 0.009 m x1 0.1 m rho 840 Kg/m^3 k 0.137 W/mC Cp 2200 J/kgC um 0.04 m/s
  • 16. Result Example II 16 25 December 2017
  • 17. Paper Example 17 25 December 2017 Estimation of the local heat-transfer coefficient in the laminar flow regime in coiled tubes by the Tikhonov regularization method
  • 18. Paper Example 18 25 December 2017
  • 19. References 25 December 201719 Authors Subject Year M.Nacati Ozicik & Helico R. B. Orlande Inverse Heat Transfer Fundamental and applications 2000 Fabio Bozzoli Luca Cattani Sara Rainieri Fermín S. Viloche Bazán Leonardo S. Borges Estimation of the local heat-transfer coefficient in the laminar flow regime in coiled tubes by the Tikhonov regularization method 2014
  • 20. 20 25 December 2017 Thank you for your attention Perhaps it is time to change our minds about the world!