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Abstrakty
In recent years there has been a considerable theoretical and experimental interest in a laser driven ablative surface in inertial fusion energy (IFE). The existing studies of nonuniformities will not prevent the surface instabilities which originate at the ablation surface due to acceleration of high density plasma by low density plasma, known as the Rayleigh-Taylor instability (RTI). The present work is aimed at controlling the growth rate of RTI in a laser irradiated porous target (that is a hollow target filled with a porous material) at moderate intensities. This RTI has been studied using the moment method. The dispersion relation is obtained in terms of Bond number B connected with the surface tension and the modified Reynolds number R. This dispersion relation is computed for different values of B, R and several particular cases for long and short wave length perturbation and the results are depicted graphically. It is shown that the permeability of the porous region scaled with the Reynolds number decreases considerably the growth rate of RTI compared to that of a hollow shell.
Słowa kluczowe
Rocznik
Tom
Strony
665--676
Opis fizyczny
Bibliogr. 13 poz., wykr.
Twórcy
autor
- National Research Institute for Applied Mathematics (NRIAM) No.492/G, 7th Cross, 7th Block (West), Jayanagar, Bangalore - 560 082, INDIA
- UGC - Centre for Advanced Studies in Fluid Mechanics, Department of Mathematics Central College Campus, Bangalore University, Bangalore - 560 001, INDIA
autor
- National Research Institute for Applied Mathematics (NRIAM) No.492/G, 7th Cross, 7th Block (West), Jayanagar, Bangalore - 560 082, INDIA
- UGC - Centre for Advanced Studies in Fluid Mechanics, Department of Mathematics Central College Campus, Bangalore University, Bangalore - 560 001, INDIA
autor
- National Research Institute for Applied Mathematics (NRIAM) No.492/G, 7th Cross, 7th Block (West), Jayanagar, Bangalore - 560 082, INDIA
- UGC - Centre for Advanced Studies in Fluid Mechanics, Department of Mathematics Central College Campus, Bangalore University, Bangalore - 560 001, INDIA
Bibliografia
- [1] Boequet Blondeau R., Poitrault L., Badeau J.B. and Dumont R. (1990): Use of hallow Shell IFE target to generate inertial fusion energy. In: Power Generation Technology. (Richard Knox, Ed.) - pp.141-146.
- [2] Chandrasekar S. (1961): Hydrodynamic and Hydromagnetic Stability. - Oxford: Clarendon Press.
- [3] Hogan W.J. and Bertel E. (1995): Energy from Inertial Fusion. - Vienna: International Atomie Energy Agency, 1.
- [4] Kanuer J.P., Betti R., Bradley D.K., Bochly T.R., Collino T.J.B., Goncharov V.N., Menkenty P.W., Meyer Hofer D.D., Smalyuk V.A., Verdon C.P., Gelndinning Glalantar D.W., and Watt R.G. (2000): Single-mode, Rayleigh Taylor growth rate measurements on the OMEGA laser system. - Phys. of Plasma, vol.7, No.l, pp.338-345.
- [5] Manheimer W.M., Colombant D.G. and Gardner J.H. (1982): Steady-state planar ablative flow. - Phys. of Fluids, vol.25, No.9, pp.1644-1650.
- [6] McCrory R.L. and Morse R.L. (1976): Turbulent pusher behaviour. - Phys. of Fluids, vol.l9, pp. 175-176.
- [7] Mikaelian K.O. (1986): Approximate treatment of density gradients in Rayleigh-Taylor instabilities. - Phys. Rev., vol.A33, No.2, pp.1216-1222.
- [8] Mikaelian K.O. (1992): Simple model for ablative stabilization. - Phys. Rev., vol.A46, No.10, pp.6621-6627.
- [9] Rayleigh L. (1965): Scientific Papers. - New York: Dover, 2.
- [10] Mikaelian K.O. (1982): Rayleigh-Taylor instabilities in stratified fluids. - Phys. Rev., vol.A26, No.4, pp.2140-2158.
- [11] 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., vol.43, pp.1-5.
- [12] Takabe H., Mima K., Montierth L. and Morse R.L. (1985): Self consistent growth rate of the Rayleigh-Taylor instability in an ablatively accelerating plasma. - Phys. of Fluids, vol.28, No. 12, pp.3676-3682.
- [13] Taylor G.I. (1950): The instability of liquid surfaces when accelerated in a direction perpendicular to their planes – I. - Proc. Roy. Soc. (London), vol.A, No.201, pp.149-196.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0003-0035
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