THERMAL SCIENCE

International Scientific Journal

Kamel Guedri

,

Abdessattar Bouzid

,

Abdelaziz Nasr

,

Abdulmajeed S. Al-Ghamdi

THREE-DIMENSIONAL FTN FINITE VOLUME SOLUTION OF SHORT-PULSE LASER PROPAGATION THROUGH HETEROGENEOUS MEDIUM

ABSTRACT
In this paper, 3-D heterogeneous medium, containing small inhomogeneous zones, subjected to a short-pulse laser has been examined by solving the transient radiative transfer equation. Both curved-line advection method and STEP schemes of the FTn finite volume method have been applied. The curved-line advection method predictions proved that a decrease of the false scattering and ray effects are obtained. In fact, there was a good agreement between the curved-line advection method and the Monte Carlo method. However, the STEP results are slightly mismatching the predictions of the aforementioned reference method. Then, the effects of the absorption coefficient, the size, the number and the position of inhomogeneous zone on the transmittance and reflectance signals have been analyzed. The predictions showed that the increase of the size of the inhomogeneity reduces the intensity of radiation. For both homogenous and heterogonous medium, the change of the detector position varies both the broadening of the signal pulse-width and the time with peak reflectance and/or transmittance. That is can be explained by the effects of the distance and the medium property between the laser-incident source and the detector position. Thus, these both parameters are the main factors for determining the peak position and the pulse broadening. Finally, the effects of the absorption coefficient in the inhomogeneity zone on the absolute values of logarithmic slope has been discussed. The results proved that the absolute values of logarithmic slope may be a perfect indicator for detecting any abnormal absorbing zones in the medium.
KEYWORDS
Short-pulse laser, heterogeneous medium, containing a small inhomogeneous zone, the FTn Finite Volume, CLAM scheme
PAPER SUBMITTED: 2018-03-02
PAPER REVISED: 2018-04-17
PAPER ACCEPTED: 2018-06-05
PUBLISHED ONLINE: 2018-09-29
DOI REFERENCE: https://doi.org/10.2298/TSCI180302186G
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2020, VOLUME 24, ISSUE Issue 2, PAGES [1083 - 1091]
REFERENCES
  1. Shibib, K. S., et al., Finite Element Analysis of spot laer of steel welding temperature history. Thermal Science, 31(2009), 4, 143-150.
  2. Sazgarnia, A., et al., Investigation of thermal distribution for pulsed laser radiation in cancer treatment with nanoparticle-mediated hyperthermia. J. Ther. Biology, 47 (2015), pp. 32-41
  3. Tahir, M. M., Threshold of permanent cornea thermal damage due to incidental continuous wave CO2 laser irradiation, Thermal Science, 14 (2010), 2, pp. 459-467
  4. Havermann, M., Beylich, A. E., Performance and limitations of the laser-induced fluorescence measurement technique and the established experimental methods or the study of supersonic mixing, International Journal of Heat and Technology, 15 (1997), 2, pp. 3-10
  5. Guo, Z., Hunter, B., Modeling of ultrafast laser transport and applications, Proc. the 8th international Symposium on Heat Transfer, Beijing, China, 2012
  6. Wang, L., et al., Monte Carlo modeling of light transport in multi-layered tissues, Computer Methods and Programs in Biomedicine, 47, (1995), pp. 131-146
  7. Ratovoson, D., et al., Combined model of human skin - heat transfer in the vein and tissue: experimental and numerical study, Quant. infrared thermography J., 8 (2012), 2, pp. 165-186
  8. Guo, Z., et al., Multidimensional Monte Carlo simulation of short-pulse laser transport in scattering media, AIAA J Thermophys Heat Transfer, 144 (2000), 4, pp. 504-511
  9. Jang C., et al., Radiative heat transfer analysis in pure scattering layers to be used in vacuum insulation panels, Applied Energy, 112 (2013), pp. 703-709
  10. Tan, Z. M. and Hsu, P. F., An integral formulation of transient radiative transfer, ASME Journal Heat Transfer, 123 (2011), pp. 466-475
  11. Wu, S. H. and Wu, C. Y., Time-resolved spatial distribution of scattered radiative energy in a two-dimensional cylindrical medium with a large mean free path for scattering, International Journal of Heat and Mass Transfer, 44 (2001), pp. 2611-2619
  12. Wu, S. H., Wu, C. Y., Integral equation solutions for transient radiative transfer in nonhomogeneous anisotropically scattering media, ASME J Heat Transfer, 122 (2000), pp. 818-822
  13. Chen T.H., et al., Combined Natural Convection and radiation with temperature-dependent properties, Thermal Science, 21 (2017), Online First (2016), DOI: 10.2298/TSCI160225171C
  14. Hunter, B. and Guo, Z., Numerical smearing, ray effect, and angular false scattering in radiation transfer computation, International Journal of Heat and Mass Transf, 81 (2015), pp. 63-74
  15. Hunter, B., Guo, Z., Applicability of phase-function normalization techniques for radiation transfer computation, Numererical Heat Transfer (Part B), 67 (2015), 1, pp. 1-24
  16. Ren, Y. T., et al., Estimation of radiative parameters in participating media using Shuffled Frog Leaping algorithm, Thermal Science, 21, 2017, 6, pp. 2287-2297
  17. Chai, J. C., et al., Finite volume method for radiation heat transfer, AIAA J Thermophys Heat Transfer, 8 (1994), 3, pp. 419-425
  18. Raithby, G. D., Chui, E. H, A finite-volume method for predicting radiant heat transfer in enclosures with participating media, ASME Journal of Heat Transfer, 112 (1990), pp. 415-423
  19. Chai, J. C., Patankar, S. V., Finite-volume method for radiation heat transfer, Advanced Numererical Heat Transfer, 2 (2000), pp. 110-135
  20. Chai, J. C., et al., Treatment of irregular geometries using a Cartesian-coordinates-based discrete-ordinates-method, Radiation Heat Transfer Theory and Application HTD, 244 (1993), pp. 49-54
  21. Coelho, P. J., Bounded skew high-order resolution schemes for the discreteordinates method, Journal of Computational Physics, 175 (2002), 2, pp. 412 -437
  22. Guedri, K.,et al., Application of high-resolution NVD differencing schemes to the FTn finite volume method for radiative heat transfer, Heat Transfer-Asian Reserach, 47 (2018), 2, pp. 366-388
  23. Guedri, K., Al-Ghamdi, A.S., Radiative heat transfer in complex enclosures using NVD differencing schemes of the FTn Finite Volume Method, Heat Transfer Research, 48 (2017), 15, pp. 1379-1398
  24. Guedri, K., et al., Numerical study of radiative heat transfer effects on a complex configuration of rack storage fire, Energy, 36 (2011), 5, pp. 2984-2996
  25. Coelho, P. J., Aelenei, D., Application of high-order spatial resolution schemes to the hybrid finite volume/finite element method for radiative transfer in participating media, International Journal of Numererical Methods Heat & Fluid Flow, 18 (2008), 2, pp. 173-184
  26. Ren Y. T., et al., Estimation of radiative parameters in participating media using the Shuffled Frog Leaping Algorithm, Thermal Science, 21 (2017), 6A, 2287-2297
  27. Byun, D., et al., Radiative heat transfer in discretely heated irregular geometry with an absorbing, emitting, and anisotropically scattering medium using combined Monte-Carlo and finite volume method, International Journal of Heat and Mass Transfer, 47 (2004), pp. 4195-4203
  28. Chai, J. C., Moder, J. P., Radiation heat transfer calculation using an angular-multiblock procedure, Numererical Heat Transfer (Part B), 38 (2000), 1, pp. 1-13
  29. Kim, S. H., Huh, K.Y., A new angular discretization scheme of the finite volume method for 3-D radiative heat transfer in absorbing, emitting and anisotropically scattering media, International Journal of Heat and Mass Transfer, 43 (2000), pp. 1233-1242
  30. Guedri, K., et al., Evaluation of the FTn Finite Volume Method for Transient Radiative Transfer in Anisotropically Scattering Medium, Numer. Heat Transfer (Part B), 68 (2015), pp. 1137-1154
  31. Padhi, B. N., Thermal modeling of short pulse collimated radiation in a participating medium, Ph.D thesis, The National Institute of Technology, Odisha, India, 2012
  32. Bhowmik, A., et al., Analysis of radiative signals from normal and malignant human skins subjected to a short-pulse laser, Inter. J. Heat Mass Transfer, 68 (2014), pp. 278-294
  33. Modest, M.F., Radiative Heat Transfer, second ed., New York, 2003
  34. Guo, Z., Kumar, S., Discrete-ordinates solution of short-pulsed laser, Applied Optics, 40 (2001), 19, pp. 3156-3163
  35. Anidu, A. O., et al., Dynamic Computation of Runge-Kutta's Fourth-Order Algorithm for First and Second Order Ordinary Differential Equation Using Java, Interernational Journal of Computer Science, 12 (2015), 3, pp. 211-218
  36. Tan, Z.M., Hsu, P. F., Transient radiative transfer in three-dimensional homogeneous and nonhomogeneous participating media, J. Quant Spectrosc RA, 73 (2002), pp. 181-194
  37. Pereira, P., et al., Influence of the optical tissue parameters on the transmitted and reflected signals from short pulse laser, Congresso de Métodos Numéricos em Engenharia. Lisboa, 2015.
  38. Coelho, P.J., et al., Multi-scale methods for the solution of the radiative transfer equation, Computational Thermal Radiation in Participating Media V- Eurotherm Seminar 105, France, 2015.
  39. Roger, M., et al., A hybrid transport-diffusion model for radiative transfer in absorbing and scattering media, Journal of Computational Physics, 275 (2014), pp. 346-362
  40. Guo, Z., Hunter, B., Advances in ultrafast radiative transfer modeling and applications: a review. Heat Transfer Research, 44 (2013), pp. 305-346
  41. Guo, Z., Kumar, S., Equivalent isotropic scattering formulation for transient short-pulse radiative transfer in anisotropic scattering planar media, Appied Optics, 39 (2000), pp. 4411-4417
  42. Guo, Z., Kim, K., Ultrafast-laser-radiation transfer in heterogeneous tissues with the discrete-ordinates method, Applied Optics, 42 (2003), 16, pp. 2897-2905
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Three-dimensional FTn finite volume solution of short-pulse laser propagation through heterogeneous medium

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