Publication Cover
Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 71, 2017 - Issue 5
165
Views
10
CrossRef citations to date
0
Altmetric
Original Articles

Thermal analysis of laser-irradiated tissue phantoms using a novel separation of the variables-based discrete transfer method

, &
Pages 575-589 | Received 02 Aug 2016, Accepted 28 Nov 2016, Published online: 23 Mar 2017

References

  • R. R. Anderson and J. A. Parrish, Selective Photothermolysis: Precise Microsurgery by Selective Absorption of Pulsed Radiation, Science, vol. 220, pp. 524–527, 1983.
  • L. S. Bass and M. R. Treat, Laser Tissue Welding: A Comprehensive Review of Current and Future Clinical Applications, Laser Surg. Med., vol. 17, pp. 315–349, 1995.
  • M. Panjehpour, A. Wilke, D. L. Frazier, and B. F. Overholt, Hyperthermia Treatment Using a Computer Controlled Nd: YAG Laser System in Combination with Surface Cooling, Proc. SPIE, vol. 1427, pp. 307–315, 1991.
  • L. A. Dombrovsky, V. Timchenko, and M. Jackson, Indirect Heating Strategy of Laser Induced Hyperthermia: An Advanced Thermal Model, Int. J. Heat Mass Transfer, vol. 55, pp. 4688–4700, 2012.
  • L. A. Dombrovsky, J. H. Randrianalisoa, W. Lipinski, and V. Timchenko, Simplified Approaches to Radiative Transfer Simulations in Laser Induced Hyperthermia of Superficial Tumors, Comput. Thermal Sci., vol. 5, pp. 521–530, 2013.
  • J. H. Randrianalisoa, L. A. Dombrovsky, W. Lipinski, and V. Timchenko, Effects of Short-Pulsed Laser Radiation on Transient Heating of Superficial Human Tissues, Int. J. Heat Mass Transfer, vol. 78, pp. 488–497, 2014.
  • S. Kumar and A. Srivastava, Numerical Investigation of Thermal Response of Laser Irradiated Tissue Phantoms Embedded with Optical Inhomgeneities, Int. J. Heat Mass Transfer, vol. 77, pp. 262–277, 2014.
  • S. Thomsen, Pathologic Analysis of Photothermal and Photomechanical Effects of Laser-Tissue Interactions, Photochem. Photobiol., vol. 53, pp. 825–835, 1991.
  • M. M. Fadhali, F. A. Saeed, N. M. Hashim, S. Toto, and J. Ali, Investigation of Laser Induced Inhibition and Simulation in Biological Samples, Optics Photonics J., vol. 1, pp. 101–105, 2011.
  • P. K. Gupta, N. Ghosh, and H. S. Patel, Lasers and Laser Tissue Interaction, in A. Kishen and A. Asundi (eds.), Fundamentals & Applications of Biophotonics in Dentistry, Imperial College Press, London, pp. 123–148, 2007.
  • S. Chandrasekhar Radiative Transfer, Dover Publications Inc., New York, NY, pp. 393, 1960.
  • K. Mitra and S. Kumar, Development and Comparison of Models for Light-Pulse Transport Through Scattering-Absorbing Media, Appl. Opt., vol. 38, pp. 188–196, 1999.
  • S. C. Mishra, P. Chugh, P. Kumar, and K. Mitra, Development, and Comparison of the DTM, the DOM and the FVM Formulations for the Short-Pulse Laser Transport Through a Participating Medium, Int. J. Heat Mass Transfer, vol. 49, pp. 1820–1832, 2006.
  • B. Hunter and Z. Guo, Comparison of the Discrete-Ordinates Method and Finite-Volume Method for Steady-State and Ultrafast Radiative Transfer Analysis in Cylindrical Coordinates, Numer. Heat Transfer B, vol. 59, pp. 339–359, 2011.
  • M. Darbandi and B. Abrar, A Compressible Approach to Solve Combined Natural Convection-Radiation Heat Transfer in Participating Media, Numer. Heat Transfer B, vol. 66, pp. 446–469, 2014.
  • S. C. Mishra, C. H. Krishna, and M. Y. Kim, Analysis of Conduction and Radiation Heat Transfer in a 2-D Cylindrical Medium Using the Modified Discrete Ordinate Method and the Lattice Boltzmann Method, Numer. Heat Transfer A, vol. 60, pp. 254–287, 2011.
  • S. C. Mishra, R. Singh, P. Agarwal, and C. H. Krishna, Analysis of Radiative Transport in a 2-D Cylindrical Participating Medium Subjected to Collimated Radiation, Numer. Heat Transfer A, vol. 66, pp. 884–903, 2014.
  • S. Patidar, S. Kumar, A. Srivastava, and S. Singh, Dual Phase Lag Model-Based Thermal Analysis of Tissue Phantoms Using Lattice Boltzmann Method, Int. J. Therm. Sci., vol. 103, pp. 41–56, 2016.
  • J. Sun, H. L. Yi, and H. P. Tan, The Improved Direct Collocation Meshless Approach for Radiative Heat Transfer in Participating Media, Numer. Heat Transfer B, vol. 68, pp. 533–553, 2015.
  • K. Kim and T. H. Song, Extension of the Discrete Ordinates Interpolation Method to Combined Convection-Radiation Problems with Fluid Flow in Three-Dimensional Geometries Filled with Gray Participating Media, Numer. Heat Transfer B, vol. 60, pp. 452–471, 2011.
  • H. Nirgudkar, S. Kumar, and A. Srivastava, Solution of Radiative Transfer Equation Using Discrete Transfer Method for Two-Dimensional Participating Medium, Int. Commun. Heat Mass Transfer, vol. 61, pp. 88–95, 2015.
  • F. C. Lockwood, and N. G. Shah, A New Radiation Solution Method for Incorporation in General Combustion Prediction Procedures, Eighteenth Symposium (International) on Combustion, The Combustion Institute, pp. 1405–1414, 1981.
  • P. Rath, S. C. Mishra, P. Mahanta, U. K. Saha, and K. Mitra, Discrete Transfer Method Applied to Transient Radiative Transfer Problems in Participating Medium, Numer. Heat Transfer A, vol. 44, pp. 183–197, 2003.
  • D. Sarma, S. C. Mishra, and P. Mahnata, Analysis of Collimated Radiation in Participating Media Using the Discrete Transfer Method, J. Quant. Spectrosc. Radiat. Transfer, vol. 96, pp. 123–135, 2005.
  • N. A. Krishna and S. C. Mishra, Discrete Transfer Method Applied to Radiative Transfer in a Variable Refractive Index Semitransparent Medium, J. Quant. Spectrosc. Radiat. Transfer, vol. 102, pp. 432–440, 2006.
  • J. C. Henson and W. M. G. Malalasekera, Comparison of the Discrete Transfer and Monte Carlo Methods for Radiative Heat Transfer in Three-Dimensional Nonhomogeneous Scattering Media, Numer. Heat Transfer A, vol. 32, pp. 19–36, 1997.
  • M. P. Menguc, and R. Viskanta, Radiative Transfer in Three Dimensional Rectangular Enclosures Containing Inhomogeneous, Ansiotropically Scattering Media, J. Quant. Spectrosc. Radiat. Transfer, vol. 33, pp. 533–549, 1985.
  • P. Talukdar, Discrete Transfer Method with the Concept of Blocked-Off Region for Irregular Geometries, J. Quant. Spectrosc. Radiat. Transfer, vol. 98, pp. 238–248, 2006.
  • H. K. Versteeg, J. C. Henson, and W. Malalasekera, Approximation Errors in the Heat Flux Integral of the Discrete Transfer Method, Part 1: Transparent Media, Numer. Heat Transfer B, vol. 36, pp. 387–407, 2010.
  • P. J. Coelho, Numerical Simulation of Radiative Heat Transfer from Non-Gray Gases in Three-Dimensional Enclosures, J. Quant. Spectrosc. Radiat. Transfer, vol. 74, pp. 307–328, 2002.
  • M. Jaunich, S. Raje, K. Kim, K. Mitra, and Z. Guo, Bio-Heat Transfer Analysis During Short Pulse Laser Irradiation of Tissues, Int. J. Heat Mass transfer, vol. 51, pp. 5511–5521, 2008.
  • J. Jiao and Z. Guo, Simulation of Focused Radiation Propagation, and Transient Heat Transfer in Turbid Tissues, Proc. ASME 2009 Heat Transfer Summer Conference, San Francisco, CA, USA, 2009.
  • S. Kumar and A. Srivastava, Thermal Analysis of Laser-Irradiated Tissue Phantoms Using Dual Phase Lag Model Coupled with Transient Radiative Transfer Equation, Int. J. Heat Mass Transfer, vol. 90, pp. 466–479, 2015.
  • M. F. Modest Radiative Heat Transfer, 2nd ed., pp. 498–530, Academic Press, California, 2003.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.