THERMAL SCIENCE

International Scientific Journal

Sohel Rana

,

Jeevan Kanesan

,

Ahmed Wasif Reza

,

Harikrishnan Ramiah

TICKHONOV BASED WELL-CONDITION ASYMPTOTIC WAVEFORM EVALUATION FOR DUAL-PHASE-LAG HEAT CONDUCTION

ABSTRACT
The Tickhonov based well condition asymptotic waveform evaluation (TWCAWE) is presented here to study the non-Fourier heat conduction problems with various boundary conditions. In this paper, a novel TWCAWE method is proposed to overwhelm ill-conditioning of the asymptotic waveform evaluation (AWE) technique for thermal analysis and also presented for time-reliant problems. The TWCAWE method is capable to evade the instability of AWE and also efficaciously approximates the initial high frequency and delay similar as well-established numerical method, such as Runge-Kutta (R-K). Furthermore, TWCAWE method is found 1.2 times faster than the AWE and also 4 times faster than the traditional R-K method.
KEYWORDS
Tickhonov well-condition asymptotic waveform evaluation, finite element method, heat conduction, boundary condition
PAPER SUBMITTED: 2014-04-10
PAPER REVISED: 2014-06-24
PAPER ACCEPTED: 2014-08-19
PUBLISHED ONLINE: 2014-09-06
DOI REFERENCE: https://doi.org/10.2298/TSCI140410104R
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Issue 6, PAGES [1891 - 1902]
REFERENCES
  1. Burke, G. J., et al., Using model-based parameter estimation to increase the efficiency of computing electromagnetic transfer functions, IEEE Transaction Magazine, 25 (1989), 4, pp. 2807- 2809
  2. Pillage, L. T., Rohrer, R. A., Asymptotic waveform evaluation for timing analysis, IEEE Transaction Computer-Aided Design, 9 (1990), 4, pp. 352-366
  3. Loh, J. S., et al., Fast transient thermal analysis of Fourier and non-Fourier heat conduction, Int. J. Heat Mass Transfer, 50 (2007), 21, pp. 4400-4408
  4. Lanczos, C., An iteration method for the solution of the eigenvalue problem of linear differential and integral operators, United States Governm. Press Office, 1950
  5. Slone, R. D., Well-Conditioned Asymptotic Waveform Evaluation for Finite Element, IEEE Transaction on Antennas and Propagation, 51 (2003), 9, pp. 2442-2447
  6. Lenzi, M. S., et al., A fast frequency sweep approach using Pade approximations for solving Helmoltz finite element models, Journal of Sound and Vibration, 32 (2013), 8, pp. 1897-1917
  7. Baumeister, K. J., Hamill, T. D., Hyperbolic heat conduction equation - a solution for the semiinfinite body problem-I, J. Heat Transfer, 9 (1969), 4, pp. 543-548
  8. Baumeister, K. J., Hamill, T. D., Hyperbolic heat conduction equation - a solution for the semiinfinite body problem-II, J. Heat Transfer, 9 (1971), 3, pp. 126-127
  9. Tang, D. W., Araki, N., Non-Fourier heat conduction in a finite medium under periodic surface thermal disturbance, Int. J. Heat Mass Transfer, 39 (1996), 8, pp. 1585-1590
  10. Tang, D. W., Araki, N., Non-Fourier heat conduction in a finite medium under periodic surface thermal disturbance-II. Another form of solution, Int. J. Heat Mass Transfer, 39 (1996), 15, pp. 3305- 3308
  11. Tang, D.W., Araki, N., Analytical solution of non-Fourier temperature response in a finite medium under laser-pulse heating. Heat Mass Transfer 31 (1996), 5, pp. 359-363
  12. Tang, D.W., Araki, N., Non-Fourier heat conduction behavior in finite mediums under pulse surface heating, Mater. Sci. Eng., 29 (2000), 2, pp. 173-178
  13. Liu, P., et al., Fast thermal simulation for runtime temperature tracking and management, IEEE transaction on computer -aided design of integrated circuits and systems, 25 (2006), 12, pp. 2882- 2893
  14. Rana, S., Kanesan, J., Reza, A. W., Ramiah, H., Well-Condition Asymptotic Waveform Evaluation Method for Heat Conduction Problem, Advanced Materials Research, 845 (2014), pp. 209-215
  15. Rana, S., Kanesan, J., Reza, A. W., Ramiah, H., Fast Transient Thermal Analysis of Non-Fourier Heat Conduction Using Tikhonov Well-Conditioned Asymptotic Waveform Evaluation, The Scientific World Journal, 2014 (2014), Article ID 671619, 7 pages
  16. Mishra, S. C., Sahai, H., Analysis of non- Fourier conduction and radiation in cylindrical medium using lattice Boltzmann method and finite volume method, Int. J. Heat Mass Transfer, 61 (2013), 1, pp. 41-55
  17. Neumaier, A., Solving ill-conditioned and singular linear system, a tutorial on regularization, Siam Review, 40 (1998), 3, pp. 636-666
  18. Gheorghe, B., et al., FEM Analysis of Brushless DC Servomotor with Fractional Number of Slots per Pole, Advances in Electrical and Computer Engineering, 14 (2014), 1, pp. 103-108
  19. Mosallanejad, A., et al., Investigation and Calculation of Magnetic Field in Tubular Linear Reluctance Motor Using FEM, Advances in Electrical and Computer Engineering, 10 (2010), 4, pp. 34-48
  20. Adrian M., et al., FEM-based Analysis of a Hybrid Synchronous Generator with Skewed Stator Slots, Advances in Electrical and Computer Engineering,11 (2011), 4, pp. 9-14
  21. Yevgeny, S., The Practical Stability of the Linear Systems with the Phase Space Variable Measurability, Advances in Electrical and Computer Engineering, 7 (2011), 1, pp. 50-53
  22. Lefteriu, S., et al., On a fast frequency sweep approach for the Helmholtz FE problem via model reduction, Noise and Vibration, 38 (2012), 8,pp. 1-12
  23. Quintanilla, R., Racke, R., A note on stability in dual-phase -lag heat conduction, Int. J. Heat Mass Transfer, 49 (2006), 7, pp. 1209-1213
PDF VERSION [DOWNLOAD]
Tickhonov based well-condition asymptotic waveform evaluation for dual-phase-lag heat conduction

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence