Research Article | Open Access
Volume 3 | Issue 9 | Year 2016 | Article Id. IJME-V3I9P102 | DOI : https://doi.org/10.14445/23488360/IJME-V3I9P102An analytical approach for inverse heat conduction problem
Kevin Agrawal
Citation :
Kevin Agrawal, "An analytical approach for inverse heat conduction problem," International Journal of Mechanical Engineering, vol. 3, no. 9, pp. 5-8, 2016. Crossref, https://doi.org/10.14445/23488360/IJME-V3I9P102
Abstract
The inverse method has been adopted for finding the heat flux on a plate from the temperature data. On a plate which has been heated by electron beam rastering the temperature of the plate can be found using the thermal camera, however the heat flux cannot be measured directly. For the heat flux a numerical formulation needs to be performed for which methods such as the Fourier transformation, Duhamel Theorem and the second form of Newton Leibnitz equation have to be used. Applying these methods the final formulation has been done in MATLAB and validated using ANSYS. This method could be significant for estimating the heat flux which is generated from different designs of the laser beam rastering and could find applications in various fields of science and engineering.
Keywords
Inverse Heat Conduction problem, Heat Flux estimation, electron beam rastering, Duhamel Theorem.
References
[1] Taler, J. and Duda, P., Solving Direct and Inverse Heat Conduction Problems, Springer, Berlin (2006).
[2] Ozisik, M. N. and Orlande, R. B. H., Inverse Heat Transfer, Taylor and Francis, New York ( 2000).
[3] Beck, J. V., Blackwell, B. and St. Clair, C. R., Inverse Heat Conduction, III Posed Problems, A Wiley Interscience Publication, New York (1985).
[4] Tervola, P., A Method to Determine the Thermal Conductivity from Measured Temperature Profiles, Int. J. Heat Mass Transfer, 32:1425-1430 (1989).
[5] Incropera and Dewitt, Fundamentals of Heat and Mass Transfer, Seventh Edition
[6] H.S. Carslaw and J.C. Jaeger, Conduction of Heat in Solids, Oxford (1973)
[7] B.K. Bein and E.R. Muller, Derivation of the power deposition on limiters and divertot from time and space resolved thermographical measurements, Journal of Nuclear Materials
[8] Tariq Muneer, Jorge Kubie. Thomas Grassie, Heat Transfer : A Problem Solving Approach, Volume 1
[9] Lesnic, D., Elliott, L. and Ingham, D. B., The Solution of an Inverse Heat Conduction Problem Subject to the Specification of Energies", Int. J. Heat Mass Transfer, 41: 25- 32 (1998).