Hostname: page-component-848d4c4894-4rdrl Total loading time: 0 Render date: 2024-06-30T04:17:52.694Z Has data issue: false hasContentIssue false
  • English
  • Français

Numerical simulation of the fluid dynamic effects of laser energy deposition in air

Published online by Cambridge University Press:  23 May 2008

SHANKAR GHOSH  and
KRISHNAN MAHESH
SHANKAR GHOSH
Affiliation:
Aerospace Engineering and Mechanics, University of Minnesota, MN 55455, USA
KRISHNAN MAHESH
Affiliation:
Aerospace Engineering and Mechanics, University of Minnesota, MN 55455, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

Numerical simulations of laser energy deposition in air are conducted. Local thermodynamic equilibrium conditions are assumed to apply. Variation of the thermodynamic and transport properties with temperature and pressure are accounted for. The flow field is classified into three phases: shock formation; shock propagation; and subsequent collapse of the plasma core. Each phase is studied in detail. Vorticity generation in the flow is described for short and long times. At short times, vorticity is found to be generated by baroclinic means. At longer times, a reverse flow is found to be generated along the plasma axis resulting in the rolling up of the flow field near the plasma core and enhancement of the vorticity field. Scaling analysis is performed for different amounts of laser energy deposited and different Reynolds numbers of the flow. Simulations are conducted using three different models for air based on different levels of physical complexity. The impact of these models on the evolution of the flow field is discussed.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 605 , 25 June 2008 , pp. 329 - 354
Copyright
Copyright © Cambridge University Press 2008

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Adelgren, R., Boguszko, M. & Elliott, G. 2001 Experimental summary report – shock propagation measurements for Nd:YAG laser induced breakdown in quiescent air. Department of Mechanical and Aerospace Engineering, Rutgers University.Google Scholar
Adelgren, R. G., Yan, H., Elliott, G. S., Knight, D., Beutner, T. J., Zheltovodov, A., Ivanov, M. & Khotyanovsky, D. 2003 Localized flow control by laser energy deposition applied to Edney IV shock impingement and intersecting shocks. AIAA Paper 2003–31.CrossRefGoogle Scholar
Blaisdell, G. A., Mansour, N. N. & Reynolds, W. C. 1991 Numerical simulations of compressible homogeneous turbulence. Report TF-50, Thermosciences Division, Department of Mechanical Engineering, Stanford University.Google Scholar
Brode, H. L. 1955 Numerical solution of blast waves. J. Appl. Phys. 26, 766–775.CrossRefGoogle Scholar
Damon, E. & Tomlinson, R. 1963 Observation of ionization of gases by a ruby laser. Appl. Optics 2, 546–547.CrossRefGoogle Scholar
Dors, I. G. & Parigger, C. G. 2003 Computational fluid-dynamic model of laser induced breakdown in air. Appl. Optics 42, 5978–5985.CrossRefGoogle ScholarPubMed
Dors, I., Parigger, C. & Lewis, J. 2000 Fluid dynamic effects following laser-induced optical breakdown. AIAA Paper 2000–0717.CrossRefGoogle Scholar
Glumac, N., Elliott, G. & Boguszko, M. 2005 a Temporal and spatial evolution of thermal structure of laser spark in air. AIAA J. 43, 1984–1994.CrossRefGoogle Scholar
Glumac, N., Elliott, G. & Boguszko, M. 2005 b Temporal and spatial evolution of the thermal structure of a laser spark in air. AIAA Paper 2005–0204.CrossRefGoogle Scholar
Harten, A. 1978 The artificial compression method for computation of shocks and contact discontinuities. Maths Comput. 32, 363.Google Scholar
Hayes, W. D. 1957 The vorticity jump across a gasdynamic discontinuity. J. Fluid Mech. 2, 595–600.CrossRefGoogle Scholar
Jiang, Z., Takayama, K., Moosad, K. P. B., Onodera, O. & Sun, M. 1998 Numerical and experimental study of a micro-blast wave generated by pulsed laser beam focusing. Shock waves 8, 337–349.CrossRefGoogle Scholar
Kandala, R. 2005 Numerical simulations of laser energy deposition for supersonic flow control. PhD thesis, Department of Aerospace Engineering and Mechanics, University of Minnesota.Google Scholar
Kandala, R. & Candler, G. 2003 Numerical studies of laser-induced energy deposition for supersonic flow control. AIAA Paper 2003–1052.CrossRefGoogle Scholar
Kandala, R., Candler, G., Glumac, N. & Elliott, G. 2005 Simulation of laser-induced plasma experiments for supersonic flow control. AIAA Paper 2005–0205.CrossRefGoogle Scholar
Keefer, D. 1989 Laser-sustained plasmas. In Laser-Induced Plasmas and Applications (ed. Radziemski, L. J. & Cremers, D. A.) Marcel Dekker.Google Scholar
Knight, D., Kuchinskiy, V., Kuranov, A. & Sheikin, E. 2003 Survey of aerodynamic flow control at high speed by energy deposition. AIAA Paper 2003–0525.CrossRefGoogle Scholar
Lee, J. H. 2005 Electron-impact vibrational relaxation in high temperature nitrogen. AIAA Paper 1992–0807.CrossRefGoogle Scholar
Lewis, J., Parigger, C., Hornkohl, J. & Guan, G. 1999 Laser-induced optical breakdown plasma spectra and analysis by use of the program NEQAIR. AIAA Paper 99–0723.CrossRefGoogle Scholar
McBride, B. J. & Gordon, S. 1961 Thermodynamic functions of several triatomic molecules in the ideal gas state. J. Chem. Phys 35, 2198–2206.CrossRefGoogle Scholar
McBride, B. J. & Gordon, S. 1967 FORTRAN IV program for calculation of thermodynamic data. NASA SP 3001.Google Scholar
McBride, B. J. & Gordon, S. 1976 Computer program for computation of complex chemical equilibrium compositions, rocket performance, incident and reflected shocks, and Chapman–Jouguet detonations. NASA SP 273.Google Scholar
McBride, B. J. & Gordon, S. 1992 Computer program for calculating and fitting thermodynamic functions. NASA RP 1271.Google Scholar
McBride, B. J., Heimel, S., Ehlers, J. & Gordon, S. 1963 Thermodynamic properties to 6000 K for 210 substances involving the first 18 elements. NASA SP 3001.Google Scholar
Maker, P., Terhune, R. & Savage, C. 1963 Proc. Third Intl. Quantum Mechanics Conf. Paris.Google Scholar
Meyerand, R. & Haught, A. 1963 Gas breakdown at optical frequencies. Phys. Rev. Lett. 11, 401–403.CrossRefGoogle Scholar
Molina-Morales, P., Toyoda, K., Komurasaki, K. & Arakawa, Y. 2001 CFD simulation of a 2-kW class laser thruster. AIAA Paper 2001–0650.CrossRefGoogle Scholar
Morgan, C. 1975 Laser-induced breakdown of gases. Rep. Prog. Phys. 38, 621–665.CrossRefGoogle Scholar
Phuoc, T. X. 2000 Laser spark ignition: experimental determination of laser-induced breakdown thresholds of combustion gases. Optics Commun. 175, 419–423.CrossRefGoogle Scholar
Phuoc, T. X. 2005 An experimental and numerical study of laser-induced spark in air. Optics Lasers Engng 43, 113–129.CrossRefGoogle Scholar
Raizer, Y. P 1966 Breakdown and heating of gases under the influence of a laser beam. Sov. Phys. USPEKHI 8, 650–673.CrossRefGoogle Scholar
Riggins, D. W., Nelson, H. F. & Johnson, E. 1999 Blunt-body wave drag reduction using focused energy deposition. AIAA J. 37, 460–467.CrossRefGoogle Scholar
Rohde, A. 2001 Eigen values and eigen vectors of the Euler equations in general geometries. AIAA Paper 2001–2609.CrossRefGoogle Scholar
Root, R. G. 1989 Modeling of Post-Breakdown Phenomenon in Laser-Induced Plasma and Applications, vol. 2, pp. 69–103. Marcel Dekker.Google Scholar
Shneider, M. N., Macheret, S. O., Zaidi, S. H., Girgis, I. G., Raizer, Yu. P. & Miles, R. B. 2003 Steady and unsteady supersonic flow control with energy addition. AIAA Paper 2003–3862.CrossRefGoogle Scholar
Steiner, H., Gretler, W. & Hirschler, T. 1998 Numerical solution for spherical laser-driven shock waves. Shock Waves 8, 337–349.CrossRefGoogle Scholar
Wang, T. S., Chen, Y. S., Liu, J., Myrabo, L. N. & Mead, F. B. 2001 Advanced performance modeling of experimental laser lightcrafts. AIAA Paper 2001–0648.CrossRefGoogle Scholar
Yan, H., Adelgren, M., Bouszko, M., Elliott, G. & Knight, D. 2003 Laser energy deposition in quiescent air AIAA Paper 2003–1051.CrossRefGoogle Scholar
Yee, H. C., Sandham, N. D. & Djomehri, M. J. 1999 Low-dissipative high-order shock-capturing methods using characteristic-based filter. J. Comput. Phys. 150, 199–238.CrossRefGoogle Scholar