Inverse convection-diffusion problem of estimating boundary velocity based on internal temperature measurements

Inverse Problems in Engineering

Volumn 10, Issue 3, 2002, Pages 271-291

  Szczygiel, Ireneusz ^a   Fic, Adam ^a  

^a SILESIAN UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Boundary velocity estimation; Convection diffusion heat transfer; Finite element method; Inverse problem; Sensitivity coefficients

Indexed keywords

ALGORITHMS; BOUNDARY VALUE PROBLEMS; DIFFUSION; FINITE ELEMENT METHOD; FLOW OF FLUIDS; HEAT TRANSFER; PARAMETER ESTIMATION; SENSITIVITY ANALYSIS; TEMPERATURE MEASUREMENT;

BOUNDARY VELOCITIES;

INVERSE PROBLEMS;

EID: 0036623175     PISSN: 10682767     EISSN: None     Source Type: Journal    
DOI: 10.1080/10682760290024463     Document Type: Article

References (27)

1. A.K. Alekseev (1999). The solution of an inverse retrospective problem of convection. High Temperature, 37, 552-558.
2. J.V. Beck et al. (1985). Inverse Heat Conduction: Ill Posed Problems. Wiley Intersc., New York.
3. W.M. Brasil et al. (2001). An inverse problem for the estimation of upstream velocity profiles in an incompressible turbulent boundary layer. In: Proceedings of 2nd International Conference on Computational Heat and Mass Transfer. Rio de Janeiro.
4. M.J. Colaco and H.R.B. Orlande (2001). Inverse forced convection problem of simultaneous estimation of two boundary heat fluxes in irregularly shaped channels. Numerical Heat Transfer Part A - Applications, 39, 737-760.
5. A. Fic (1999). Influence of arrangement of freezing tubes on the ground freezing process with flowing groundwater. In: Proceedings of Int. Conf. Moving Boundary V. Lubliana.
6. A. Fic (2000). Fern technique of solving of the ground freezing problem with flowing groundwater. In: Proceedings of 34 National Heat Transfer Conference. Pittsburgh.
7. F.H.R. Franca et al. (2001). Inverse boundary design combining radiation and convection heat transfer. Journal of Heat Transfer - Transactions of the ASME, 123, 884-891.
8. C.V. Goncalves et al. (2000). An inverse technique applied to natural convection over a heated vertical plate. In: Proceedings of 34 National Heat Transfer Conference. Pittsburgh.
9. C.H. Huang and W.C. Chen (2000). A three-dimensional inverse forced convection problem in estimating surface heat flux by conjugate gradient method. International Journal of Heat and Mass Transfer, 43, 3171-3181.
10. K. Kurpisz and A.J. Nowak (1995). Inverse Thermal Problems. Computational Mechanics Publications.
11. H.Y. Li and W.M. Yan (2000). Inverse convection problem for determining wall heat flux in annular duct flow. Journal of Heat Transfer - Transactions of the ASME, 122, 460-464.
12. J.H. Lin et al. (2000). The inverse estimation of the thermal boundary behavior of a heated cylinder normal to a laminar air stream. International Journal of Heat and Mass Transfer, 43, 3991-4001.
13. T. Metzger et al. (2001). Experimental design for thermal dispersion estimation in porous media. In: Proceedings of EUROTHERM Seminar 68 Inverse Problems and Experimental Design in Thermal and Mechanical Engineering. Poitters.
14. W.J. Minkowycz et al. (1988). Handbook of Numerical Heat Transfer. J. Wiley and Sons.
15. M.N. Özisik and H.R.B. Orlande (2000). Inverse Heat Transfer. Taylor and Francis.
16. H.M. Park and O.Y. Chung (1999). Inverse natural convection problem of estimating wall heat flux using a moving sensor. Journal of Heat Transfer - Transactions of the ASME, 121, 828-836.
17. H.M. Park and O.Y. Chung (2000). On the solution of an inverse natural convection problem using various conjugate gradient methods. International Journal for Numerical Methods in Engineering, 47, 821-842.
18. H.M. Park and W.S. Jung (2001). The Karhunen-Loeve Galerkin method for the inverse natural convection problems. International Journal of Heat and Mass Transfer, 44, 155-167.
19. M. Prud'homme and T.H. Nguyen (2001). Solution of inverse free convection problems by conjugate gradient method: effects of Rayleigh number. International Journal of Heat and Mass Transfer, 44, 2011-2017.
20. M. Prud'homme and T.H. Nguyen (2001). Solution of the inverse steady state convection problem in a porous medium by adjoint equation. International Communications in Heat and Mass Transfer, 28, 11-21.
21. R.S. Sampath and N. Zabaras (2000). Inverse thermal design of thermo-magnetically driven Bonssinesq flows. In: Proceedings of 34 National Heat Transfer Conference. Pittsburgh.
22. J. Su et al. (2000). Estimation of unknown wall heat flux in turbulent circular pipe flow. International Communications in Heat and Mass Transfer, 27, 945-954.
23. I. Szczygiel (1995). Estimation of Boundary Conditions in Convection Heat Transfer Problems. PhD thesis, Silesian Technical University, Gliwice, Poland (in Polish).
24. I. Szczygiel (1997). Estimation of the boundary conditions in convectional heat transfer problems. In: Proceedings of National Heat Transfer Conference. Baltimore.
25. I. Szczygiel (1998). Utilization of the algor package in solution of the inverse heat convection problems. In: Advanced Computational Methods in Heat Transfer. Cracow.
26. G.Z. Yang and N. Zabaras (1998). The adjoint method for an inverse domain problem in the directional solidification of binary alloys. Journal of Computational Physics, 140, 432-452.
27. G.Z. Yang and N. Zabaras (1998). An adjoint method for the inverse design of solidification processes with natural convection. International Journal for Numerical Methods in Engineering, 42, 1121-1144.