Heat flux determination from measured heating rates using thermographic phosphors

Journal of Heat Transfer

Volumn 127, Issue 6, 2005, Pages 560-570

  Walker, D Greg ^a  

^a VANDERBILT UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DATA REDUCTION; HEAT CONDUCTION; OPTIMIZATION; PHOSPHORS; THERMOGRAPHY (TEMPERATURE MEASUREMENT);

HEATING RATES; TEMPERATURE DEPENDENT; TEMPERATURE RESIDUALS; VOLTERRA EQUATION;

HEAT FLUX;

HEAT TRANSFER;

EID: 21744451692     PISSN: 00221481     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1915389     Document Type: Article

References (36)

1. Holmberg, D. G., and Diller, T. E., 1995, "High-frequency heat flux sensor calibration and modeling," J. Fluids Eng., 117, pp. 659-664.
2. Piccini, E., Guo, S. M., and Jones, T. V., 2000, "The development of a new direct-heat-flux gauge for heat-transfer facilities," Meas. Sci. Technol., 11, pp. 342-349.
3. Diller, T. E., and Kidd, C. T., 1997, "Evaluation of numerical methods for determining heat flux with a null point calorimeter," in Proceedings of the 42nd International Instrumentation Symposium, Research Triangle Park, NC, pp. 251-262.
4. Buttsworth, D. R., and Jones, T. V., 1997, "Radial conduction effects in transient heat transfer experiments," Aeronaut. J., 101, pp. 209-212.
5. Ireland, P. T., and Jones, T. V., 2000, "Liquid crystal measurements of heat transfer and surface shear stress," Meas. Sci. Technol., 11, pp. 969-986.
6. Newton, P. J., Yan, Y., Stevens, N. E., Evatt, S. T., Lock, G. D., and Owen, J. M., 2003, "Transient heat transfer measurements using thermochromic liquid crystal. Part 1: An improved technique," Int. J. Heat Fluid Flow, 24, pp. 14-22.
7. Beck, J. V., Blackwell, B., and St. Claire, Jr., C. R., 1985, Inverse Heat Conduction: Ill-Posed Problems, Wiley-Interscience, NY.
8. Guo, S. M., Lai, C. C., Jones, T. V., Oldfield, M. L. G., Lock, G. D., and Rawlinson, A. J., 1998, "The application of thin-film technology to measure turbine-vane heat transfer and effectiveness in a film-cooled, engine-simulated environment," Int. J. Heat Fluid Flow, 19, pp. 594-600.
9. Dinu, C., Beasley, D. E., and Figliola, R. S., 1998, "Frequency response characteristics of an active heat flux gage," J. Heat Transfer, 120, pp. 577-582.
10. Hadamard, J., 1923, Lectures on Cauchys Problems in Linear Partial Differential Equations, Yale University Press, New Haven, CT.
11. Kirsch, A., 1996, An Introduction to the Mathematical Theory of Inverse Problems, Springer, Berlin, Vol. 120.
12. Cook, W. J., 1970, "Determination of heat transfer rates from transient surface temperature measurements," AIAA J., 8, pp. 1366-1368.
13. Kendall, D. N., and Dixon, W. P., 1966, "Heat transfer measurements in a hot shot wind tunnel," IEEE Trans. Aerosp. Electron. Syst., AES-3, pp. 596-603.
14. Walker, D. G., and Scott, E. P., 1997, "Evaluation of estimation methods for high unsteady heat fluxes from surface measurements," AIAA J., 12, pp. 543-551.
15. Buttsworth, D. R., and Jones, T. V., 1998, "A fast-response high spatial resolution. total temperature probe using a pulsed heating technique," J. Turbomach., 120, pp. 612-617.
16. Dunn, M. G., George, W. K., Rae, W. J., Woodward, S. H., Moller, J. C., and Seymour, P. J., 1986, "Heat flux measurements for the rotor of a full-stage turbine: Part II: Description of analysis technique and typical time-resolved measurements," ASME J. Turbomach., 108, pp. 98-107.
17. Ehrich, F. F., 1954, "Differentiation of experimental data using least squares fitting," J. Aeronaut. Sci., 22, pp. 133-134.
18. Tikhonov, A. N., and Arsenin, V. Y., 1977, Solutions of Ill-Posed Problems, V. H. Winston & Sons, Washington, D.C.
19. George, W. K., Rae, W J., Seymour, P. J., and Sonnemneier, J. R., 1987, "An evaluation of analog and numerical techniques for unsteady and heat transfer measurements with thin film gauges in transient facilities," in Proceedings of the ASME/JSME Thermal Engineering Joint Conference, Honolulu, HI, Vol. 2, pp. 611-617.
20. Walker, D. G., Scott, E. P., and Nowak, R. J., 2000, "Estimation methods for 2D conduction effects of shock-shock heat fluxes from temperature measurements," ALAA J., 14, pp. 533-539.
21. Frankel, J. I., and Keyhani, M., 1999, "Inverse heat conduction: The need for heat rate data for design and diagnostic purposes," in Proceedings of the 18th LASTED International Conference on Modeling, Identification and Control, Innsbruck, Austria, February.
22. Frankel, J., and Osborne, G., 2004, "Motivation for the development of heating/cooling rate and heat flux rate sensors for engineering applications," in Proceedings of the 42nd AIAA Aerospace Sciences Meeting and Exhibit.
23. Lamm, P. K., 1995, "Future-sequential regularization methods for ill-posed volterra equations," J. Math. Anal. Appl., 195, pp. 469-494.
24. Walker, D. G., and Schetz, J. A., 2003, "A new technique for heat flux determination," in Proceedings of the ASME Summer Heat Transfer Conference, Las Vegas, NV.
25. Allison, S. W., and Gillies, G. T., 1997, "Remote thermometry with thermographic phosphors: Instrumentation and applications," Rev. Sci. Instrum., 68, pp. 2615-2650.
26. Sholes, R. R., 1980, "Fluorescent decay thermometry with biological applications," Rev. Sci. Instrum., 51, pp. 882-884.
27. 2S: SM powder as a thermographic phosphor for high temperature applications," Meas. Sci. Technol., 11, pp. 942-947.
28. Allison, S. W., Cates, M. R., Noel, B. W., and Gillies, G. T., 1988, "Monitoring permanent-magnet motor heating with phosphor thermometry," IEEE Trans. Instrum. Meas., 37, pp. 637-641.
29. Necati Özişik, M., 1968, Boundary Problems of Heat Conduction, Dover, New York.
30. Kress, R., 1989, Linear Integral Equations, Vol. 82 in Applied Mathematical Sciences, Springer-Verlag, Berlin.
31. Corduneanu, C., 1991, Integral Equations and Applications, Cambridge University Press, Cambridge.
32. Stolz, Jr. G., 1960, "Numerical solutions to an inverse problem of heat conduction for simple shapes," J. Heat Transfer, 82, pp. 20-26.
33. Shionoya, S., and Yen, W. M., editors, 1999, Phosphor Handbook, CRC Press, Boca Raton.
34. Beck, J. V., and Arnold, K. J., 1977, Parameter Estimation in Engineering and Science, Wiley, New York.
35. Hogg, Robert V., and Ledolter, Johannes, 1992, Applied Statistics for Engineers and Physical Scientists, 2nd ed., Macmillan, NY.
36. Belding, D. F., and Mitchell, K. J., 1991, Foundation of Analysis, Prentice-Hall, NJ.