Hostname: page-component-848d4c4894-cjp7w Total loading time: 0 Render date: 2024-06-21T03:32:13.815Z Has data issue: false hasContentIssue false
  • English
  • Français

Effect of a magnetic field on the growth rate of the Rayleigh–Taylor instability of a laser-accelerated thin ablative surface

Published online by Cambridge University Press:  01 March 2004

N. RUDRAIAH ,
B.S. KRISHNAMURTHY ,
A.S. JALAJA  and
TARA DESAI
N. RUDRAIAH
Affiliation:
National Research Institute for Applied Mathematics, Jayanagar, Bangalore, India University Grants Commission-Center for Advanced Studies in Fluid Mechanics, Department of Mathematics, Bangalore University, Bangalore, India.
B.S. KRISHNAMURTHY
Affiliation:
National Research Institute for Applied Mathematics, Jayanagar, Bangalore, India University Grants Commission-Center for Advanced Studies in Fluid Mechanics, Department of Mathematics, Bangalore University, Bangalore, India.
A.S. JALAJA
Affiliation:
National Research Institute for Applied Mathematics, Jayanagar, Bangalore, India University Grants Commission-Center for Advanced Studies in Fluid Mechanics, Department of Mathematics, Bangalore University, Bangalore, India.
TARA DESAI
Affiliation:
National Research Institute for Applied Mathematics, Jayanagar, Bangalore, India University Grants Commission-Center for Advanced Studies in Fluid Mechanics, Department of Mathematics, Bangalore University, Bangalore, India.
Get access Rights & Permissions [Opens in a new window]

Abstract

The Rayleigh–Taylor instability (RTI) of a laser-accelerated ablative surface of a thin plasma layer in an inertial fusion energy (IFE) target with incompressible electrically conducting plasma in the presence of a transverse magnetic field is investigated using linear stability analysis. A simple theory based on Stokes-lubrication approximation is proposed. It is shown that the effect of a transverse magnetic field is to reduce the growth rate of RTI considerably over the value it would have in the absence of a magnetic field. This is useful in the extraction of IFE efficiently.

Keywords

Ablative surfaceInertial fusion energyLaser accelerationRayleigh–Taylor instability
Type
Research Article
Information
Laser and Particle Beams , Volume 22 , Issue 1 , March 2004 , pp. 29 - 33
Copyright
2004 Cambridge University Press

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

Babchin, A.J., Frenkel, A.L., Levich, B.G. & Sivashinsky, G.I. (1983). Nonlinear saturation of Rayleigh-Taylor instability in thin films. Phys. Fluids 27, 3159–3161.CrossRefGoogle Scholar
Batani, D., Nazarov, W., Koenig, M. & Hall, T. (2000). Recent Advances in the use of foams in laser plasma experiments. Recent Res. Dev. Plasma 1, 65–88.Google Scholar
Beavers, G.S. & Joseph, D.D. (1967). Boundary conditions at a naturally permeable wall. J. Fluid Mech. 30, 197–207.CrossRefGoogle Scholar
Betti, R., Goncharov, V.N., McCrory, R.L. & Verndon, C.P. (1995). Self consistent cutoff wave number of the ablative Rayleigh-Taylor instability. Phys. Plasma 2, 3844–3851.CrossRefGoogle Scholar
Bychkov, V.V., Goldberg, S.M. & Liberman, M.A. (1994). Self consistent model of the Rayleigh-Taylor instability in ablatively accelerated plasma. Phys. Plasma 1, 2976–2986.CrossRefGoogle Scholar
Chandrasekhar, S. (1961). Hydrodynamic and Hydromagnetic Stability. Oxford: Clarendon.
Kanuer, J.P., Betti, R., Bradley, D.K., Bochly, T.R., Colino, T.J.B., Concharov, V.N., Mekenty, P.W., Meyerhofer, D.D., Smalyuk, V.A., Verdon, B.C.P., Glendinning, S.G., Kalantar, D.W. & Watt, R.G. (2000). Single-mode Rayleigh-Taylor growth rate measurements on the OMEGA laser system. Phys. Plasma 7, 338–345.Google Scholar
Kilkenny, J.D., Glendinning, S.G., Haan, S.W., Hammel, B.A., Lindl, J.D., Munro, D., Remington, B.A., Weber, S.V., Knauer, J.P. & Verdon, C.P. (1994). A review of the ablative stabilization of the Rayleigh-Taylor instability in regimes relevant to inertial confinement fusion. Phys. Plasma 1, 1379–1389.CrossRefGoogle Scholar
Lindl, J.D. (1995). Development of indirect-driven approach to inertial confinement fusion and the target physics for ignition and gain. Phys. Plasma 2, 3933–3941.CrossRefGoogle Scholar
Rudraiah, N. (1985). Coupled parallel flows in a channel and bounding porous medium of finite thickness. J. Fluids Eng. 107, 321–328.Google Scholar
Rudraiah, N. (2003). Effect of porous lining on reducing the growth rate of Rayleigh-Taylor instability in the inertial fusion energy target. Fusion Sci. Tech. 43, 307–311.CrossRefGoogle Scholar
Rudraiah, N., Mathod, R.D. & Hameeda, B. (1997). The Rayleigh-Taylor instability of a viscous fluid layer with viscosity stratifications. Curr. Sci. 72, 391–395.Google Scholar
Sethian, J.D., Bonder, S.E., Colombant, D.G., Dahlburg, J.P., Obensethain, S.P., Serian, V., Gardener, J.H., Aglitski, Y., Chan, Y., Deniz, A.V., Lehecka, T. & Klapisch, M. (1999). Direct drive acceleration of planar liquid deuterium targets. Phys. Plasma 6, 2089–2094.CrossRefGoogle Scholar
Takabe, H., Mima, K., Montierth, L. & Morse, R.L. (1985). Self-consistent growth rate of the Rayleigh-Taylor instability in an ablatively accelerating plasma. Phys. Fluids 28, 3676–3682.CrossRefGoogle Scholar