Effects of magnetic shear on magneto-Rayleigh-Taylor instability

The magnetized liner inertial fusion concept [S. A. Slutz et al., Phys. Plasmas 17, 056303 (2010)] consists of a cylindrical metal liner enclosing a preheated plasma that is embedded in an axial magnetic field. Because of its diffusion into the liner, the pulsed azimuthal magnetic field may exhibit a strong magnetic shear within the liner, offering the interesting possibility of shear stabilization of the magneto-Rayleigh-Taylor (MRT) instability. Here, we use the ideal MHD model to study this effect of magnetic shear in a finite slab. It is found that magnetic shear reduces the MRT growth rate in general. The feedthrough factor is virtually independent of magnetic shear. In the limit of infinite magnetic shear, all MRT modes are stable if bu > 1, where bu is the ratio of the perturbed magnetic tension in the liner’s interior region to the acceleration during implosion.

[1]  L. F. Wang,et al.  Magnetic field gradient effects on Rayleigh-Taylor instability with continuous magnetic field and density profiles , 2011 .

[2]  G. R. Bennett,et al.  Measurements of magneto-Rayleigh-Taylor instability growth during the implosion of initially solid Al tubes driven by the 20-MA, 100-ns Z facility. , 2010, Physical review letters.

[3]  S. Slutz,et al.  Pulsed-power-driven cylindrical liner implosions of laser preheated fuel magnetized with an axial field , 2010 .

[4]  D. Book,et al.  Fluid instabifities of a uniformly imploding ablatively driven shell , 1980 .

[5]  S. Skupsky,et al.  Modeling hydrodynamic instabilities in inertial confinement fusion targets , 2000 .

[6]  Paul Bellan,et al.  Fundamentals of Plasma Physics: Intuitive method for vector calculus identities , 2006 .

[7]  Jason Cassibry,et al.  Estimates of confinement time and energy gain for plasma liner driven magnetoinertial fusion using an analytic self-similar converging shock model , 2009 .

[8]  G. Taylor The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I , 1950, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[9]  T. Hussey,et al.  Large‐scale‐length nonuniformities in gas puff implosions , 1986 .

[10]  O. Landen,et al.  Modified Bell–Plesset effect with compressibility: Application to double-shell ignition target designs , 2003 .

[11]  FILAMENTATION INSTABILITIES OF DYNAMIC Z PINCHES AND THETA PINCHES , 1990 .

[12]  Roman Samulyak,et al.  Spherically symmetric simulation of plasma liner driven magnetoinertial fusion , 2010 .

[13]  D. Ryutov Liner-on-plasma system near stagnation: Stabilizing effect of a magnetic cushion , 2011 .

[14]  Martin Schwarzschild,et al.  Some instabilities of a completely ionized plasma , 1954, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[15]  Ronald C. Kirkpatrick,et al.  Magnetized Target Fusion: An Overview , 1995 .

[16]  R. Bowers,et al.  Insights and applications of two-dimensional simulations to Z-pinch experiments , 1999 .

[17]  T. Hussey,et al.  Scaling of (MHD) instabilities in imploding plasma liners , 1980 .

[18]  Paul B. Parks On the efficacy of imploding plasma liners for magnetized fusion target compression , 2008 .

[19]  Stability analysis of dynamic Z pinches and theta pinches , 1989 .

[20]  J. Meyer-ter-Vehn,et al.  The physics of inertial fusion - Hydrodynamics, dense plasma physics, beam-plasma interaction , 2004 .

[21]  Soluble model for the analysis of stability in an imploding compressible liner , 1979 .

[22]  D. Ryutov,et al.  The physics of fast Z pinches , 1998 .

[23]  B. R. Suydam,et al.  Hydrodynamic instabilities in an imploding cylindrical plasma shell , 1982 .

[24]  S. Chandrasekhar Hydrodynamic and Hydromagnetic Stability , 1961 .

[25]  R. Spielman,et al.  Two‐dimensional radiation‐magnetohydrodynamic simulations of SATURN imploding Z pinches , 1996 .

[26]  E. Harris Rayleigh-Taylor Instabilities of a Collapsing Cylindrical Shell in a Magnetic Field , 1962 .

[27]  G. R. Bennett,et al.  Measurements of magneto-Rayleigh–Taylor instability growth during the implosion of initially solid metal liners a) , 2011 .

[28]  John D. M. Edwards,et al.  Rayleigh–Taylor instability evolution in ablatively driven cylindrical implosions , 1996 .

[29]  M. S. Plesset,et al.  On the Stability of Fluid Flows with Spherical Symmetry , 1954 .