Publication Cover
Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 63, 2013 - Issue 1
135
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Nonlinear Electron Heat Conduction Equation and Self-Similar Method for 1-D Thermal Waves in the Laser Heating of Solid Density DT Fuel

, &
Pages 55-73 | Received 20 Jan 2012, Accepted 21 Jul 2012, Published online: 20 Nov 2012

REFERENCES

  • S. Eliezer , The Interaction of High-Power Lasers with Plasmas , IOP Publishing , Bristol , 2002 .
  • Y. B. Zeldovich and Y. B. Raizer , Physics of Shock Waves and High Temperature Hydrodynamic Phenomena , vol. II , Academic Press , New York and London , 1967 .
  • D. D. Ganji , M. J. Hosseini , and J. Shayegh , Some Nonlinear Heat Transfer Equations Solved by Three Approximate Methods , J. Int. Com. in Heat and Mass Transfer , vol. 34 , no. 8 , pp. 1003 – 1016 , 2007 .
  • D. W. Tang and N. Araki , Wavy, Wavelike, Diffusive Thermal Responses of Finite Rigid Slabs to High-Speed Heating of Laser-Pulses , Int. J. Heat and Mass Transfer , vol. 42 , no. 5 , pp. 855 – 860 , 1999 .
  • M. Pakdemirli , I. T. Dolapci , and B. S. Yilbas , Symmetries and Approximate Solution of Energy Transfer Equations in Short Pulse Laser Heating , Int. J. thermal sci. , vol. 46 , pp. 908 – 913 , 2007 .
  • J. K. Chen , and J. E. Beraun , Numerical Study of Ultrashort Pulse Interactions with Metal Films , Numer. Heat Transfer A , vol. 40 , no. 1 , pp. 1 – 20 , 2001 .
  • E. Hoashi , T. Yokomine , and A. Shimizu , Numerical Analysis of Ultrafast Heat Transfer with Phase Change in a Material Irradiated by an Ultrashort Pulsed Laser , Numer. Heat Transfer A , vol. 41 , no. 8 , pp. 783 – 801 , 2002 .
  • J. K. Chen , J. E. Beraun , and C. L. Tham , Investigation of Thermal Response Caused by Pulse Laser Heating , Numer. Heat Transfer A , vol. 44, Issue 7 , pp. 705 – 722 , 2003 .
  • I. H. Chowdhury and X. Xu , Heat Transfer in Femtosecond Laser Processing of Metal , Numer. Heat Transfer A , vol. 44 , no. 3 , pp. 219 – 232 , 2003 .
  • T. Q. Qiu and C. L. Tien , Short Pulse Laser Heating on Metals , Int. J. Heat and Mass Transfer , vol. 35 , no. 3 , pp. 719 – 726 , 1992 .
  • G. J. Pert , A Class of Similar Solutions of the Non-Linear Diffusion Equation , J. Phys. A: Math. Gen. , vol. 10 , no. 4 , pp. 583 – 593 , 1977 .
  • B. H. Gilding and L. A. Peletier , On a Class of Similarity Solutions of the Porous Media Equation , J. Math. Anal. Appl. , vol. 55 , pp. 351 – 364 , 1976 .
  • R. E. Grundy , Similarity Solutions of the Nonlinear Diffusion Equation , J. Appl. Math. , vol. 37 , pp. 259 – 280 , 1979 .
  • F. J. Mayer , J. F. McGrath , and J. W. Steele , A Class of Similarity Solutions for the Nonlinear Thermal Conduction Problem , J. Phys. A: Math. Gen. , vol. 16 , pp. 3393 – 3400 , 1983 .
  • R. Pakula and R. Sigel , Self Similar Expansion of Dense Matter due to Heat Transfer by Nonlinear Conduction , J. Phys. Fluids , vol. 28 , pp. 232 – 245 , 1985 .
  • M. Fraenkel , A. Zigler , Z. Henis , S. Eliezer , and N. E. Andreev , Measurement of the Energy Penetration Depth into Solid Targets Irradiated by Ultrashort Laser Pulses , J. Phys. Rev. E , vol. 61 , pp. 1899 – 1903 , 2000 .
  • J. H. Nuckolls , L. Wood , A. Thiessen , and G. B. Zimmermann , Laser Compression of Matter to Super-High Densities: Thermonuclear (CTR) Applications , J. Nature , vol. 239 , pp. 139 – 142 , 1972 .
  • J. Lindl , R. L. McCrory , and E. M. Campbell , Progress Toward Ignition and Burn Propagation in Inertial Confinement Fusion, J. Phys. Today , vol. 45, pp. 32–40, 1992.
  • B. S. Yilbas , Laser Heating Process and Experimental Validation , Int. J. Heat and Mass Transfer , vol. 40 , no. 5 , pp. 1131 – 1143 , 1997 .
  • S. Torii and W. J. Yang , Heat Transfer Mechanisms in Thin Film with Laser Heat Source , Int. J. Heat and Mass Transfer , vol. 48 , no. 3 , pp. 537 – 544 , 2005 .
  • I. V. Afanas'ev , V. M. Krol , O. N. Krokhin , and I. V. Nemchinov , Gas dynamic Processes in Heating of a Substance by Laser Radiation , J. Appl. Maths. Mech. , vol. 30 , pp. 1218 – 1225 , 1966 .
  • A. Caruso , P. Bertolti , and P. Giupponi , Ionization and Heating of Solid Material by Means of a Laser Pulse , Nuovo Cim B. , vol. 45 , pp. 176 – 184 , 1966 .
  • C. Fauquignon and F. Floux , Hydrodynamic Behavior of Solid Deuterium Under Laser Heating , J. Physics Fluids , vol. 13 , pp. 386 – 392 , 1970 .
  • M. S. Chu , Thermonuclear Reaction Waves at High Densities , J. Phys. Fluids , vol. 15 , pp. 413 – 422 , 1972 .
  • M. M. Murnane , H. C. Kapteyn , and W. Falcone , High Density Plasmas Produced by Ultrafast Laser Pulses , J. Phys. Rev. Lett. , vol. 62 , pp. 155 – 158 , 1989 .
  • J. L. Bobin , Flame Propagation and Overdense Heating in a Laser Created Plasma , J. Phys. Fluids , vol. 14 , pp. 2341 – 2354 , 1971 .
  • J. P. Babuel-Peyrissac , C. Fauquignon , and F. Floux , Effect of Powerful Laser Pulse on Low Z Solid Material , J. Phys. Lett. A , vol. 30 , pp. 290 – 291 , 1969 .
  • A. Caruso , and R. Gratton , Interaction of Short Laser Pulses with Solid Materials , J. Plasma Phys. , vol. 11 , pp. 839 – 847 , 1969 .
  • G. J. Pert , Thermal Conduction Effects in Laser Solid Target Interaction , J. Plasma Phys. , vol. 16 , pp. 1019 – 1033 , 1974 .
  • J. F. Luciani , P. Mora , and J. Virmont , Nonlocal Heat Transport Due to Steep Temperature Gradients , J. Phys. Rev. Lett. , vol. 51 , pp. 1664 – 1667 , 1983 .
  • P. A. Holstein , J. Delettrez , S. Skupsky , and J. P. Matte , Modeling Nonlocal Heat Flow in Laser‐Produced Plasmas , J. Appl. Phys , vol. 60 , pp. 2296 – 2300 , 1986 .
  • A. Bendib , J. F. Luciani , and J. P. Matte , An Improvement of the Nonlocal Heat Flux Formula , J. Phys. Fluids , vol. 31 , pp. 711 – 718 , 1988 .
  • P. Mora and J. F. Luciani , Nonlocal Electron Transport in Laser Created Plasmas , J. Laser Part. Beams , vol. 12 , pp. 387 – 400 , 1994 .
  • J. D. Lindl , Inertial Confinement Fusion: The Quest for Ignition and High Gain Using Indirect Drive , Springer , New York , 1998 .
  • S. Atzeni and J. Meyer-ter-Vehn , The Physics of Inertial Fusion , Oxford University Press , Oxford , England , 2004 .
  • M. Tabak , J. Hammer , M. N. Glinsky , W. L. Kruer , S. C. Wilks , J. Woodworth , E. M. Campbell , M. D. Perry , and R. J. Mason , Ignition and High Gain with Ultra Powerful Lasers , J. Phys. Plasmas , vol. 1 , pp. 1626 – 1634 , 1994 .

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.