Investigation of magnetic flux transport and shock formation in a staged Z-pinch

Narkis, J.; Rahman, H. U.; Wessel, F. J.; Beg, F. N.

doi:10.1063/1.4997917

Title: Investigation of magnetic flux transport and shock formation in a staged Z-pinch

Abstract

Target preheating is an integral component of magnetized inertial fusion in reducing convergence ratio. In the staged Z-pinch concept, it is achieved via one or more shocks. Previous work [Narkis et al., Phys. Plasmas 23, 122706 (2016)] found that shock formation in the target occurred earlier in higher-Z liners due to faster flux transport to the target/liner interface. However, a corresponding increase in magnitude of magnetic pressure was not observed, and target implosion velocity (and therefore shock strength) remained unchanged. To investigate other means of increasing the magnitude of transported flux, a Korteweg-de Vries-Burgers equation from the 1-D single-fluid, resistive magnetohydrodynamic equations is obtained. Solutions to the nondispersive (i.e., Burgers) equation depend on nondimensional coefficients, whose dependence on liner density, temperature, etc., suggests an increase in target implosion velocity, and therefore shock strength, can be obtained by tailoring the mass of a single-liner gas puff to a double-liner configuration. In the selected test cases of 1-D simulated implosions of krypton on deuterium, the peak Mach number increased from ∼5 to ∼8. While a notable increase was seen, Mach numbers exceeding 10 (implosion velocities exceeding ∼25 cm/μs) are necessary for adequate shock preheating.

Authors:

; Rahman, H. U.; Wessel, F. J.; Beg, F. N.

Publication Date:: Thu Oct 12 00:00:00 EDT 2017

Sponsoring Org.:: USDOE

OSTI Identifier:: 1399176

Grant/Contract Number:: AR0000569

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physics of Plasmas

Additional Journal Information:: Journal Name: Physics of Plasmas Journal Volume: 24 Journal Issue: 10; Journal ID: ISSN 1070-664X

Publisher:: American Institute of Physics

Country of Publication:: United States

Language:: English

Citation Formats


                    Narkis, J., Rahman, H. U., Wessel, F. J., and Beg, F. N. Investigation of magnetic flux transport and shock formation in a staged Z-pinch.  United States: N. p., 2017. 
Web.  doi:10.1063/1.4997917.

Copy to clipboard


                    Narkis, J., Rahman, H. U., Wessel, F. J., & Beg, F. N. Investigation of magnetic flux transport and shock formation in a staged Z-pinch.  United States.  https://doi.org/10.1063/1.4997917

Copy to clipboard


                    Narkis, J., Rahman, H. U., Wessel, F. J., and Beg, F. N. Thu .  
"Investigation of magnetic flux transport and shock formation in a staged Z-pinch".  United States.  https://doi.org/10.1063/1.4997917.

Copy to clipboard


                    
@article{osti_1399176,

  title        = {Investigation of magnetic flux transport and shock formation in a staged Z-pinch},

  author       = {Narkis, J. and Rahman, H. U. and Wessel, F. J. and Beg, F. N.},

  abstractNote = {Target preheating is an integral component of magnetized inertial fusion in reducing convergence ratio. In the staged Z-pinch concept, it is achieved via one or more shocks. Previous work [Narkis et al., Phys. Plasmas 23, 122706 (2016)] found that shock formation in the target occurred earlier in higher-Z liners due to faster flux transport to the target/liner interface. However, a corresponding increase in magnitude of magnetic pressure was not observed, and target implosion velocity (and therefore shock strength) remained unchanged. To investigate other means of increasing the magnitude of transported flux, a Korteweg-de Vries-Burgers equation from the 1-D single-fluid, resistive magnetohydrodynamic equations is obtained. Solutions to the nondispersive (i.e., Burgers) equation depend on nondimensional coefficients, whose dependence on liner density, temperature, etc., suggests an increase in target implosion velocity, and therefore shock strength, can be obtained by tailoring the mass of a single-liner gas puff to a double-liner configuration. In the selected test cases of 1-D simulated implosions of krypton on deuterium, the peak Mach number increased from ∼5 to ∼8. While a notable increase was seen, Mach numbers exceeding 10 (implosion velocities exceeding ∼25 cm/μs) are necessary for adequate shock preheating.},

  doi          = {10.1063/1.4997917},

  journal      = {Physics of Plasmas},

  number       = 10,

  volume       = 24,

  place        = {United States},

  year         = {Thu Oct 12 00:00:00 EDT 2017},

  month        = {Thu Oct 12 00:00:00 EDT 2017}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Publisher's Version of Record
https://doi.org/10.1063/1.4997917

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 2 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Dust ion-acoustic solitary waves in a dusty plasma with nonextensive electrons
journal, May 2012

Bacha, Mustapha; Tribeche, Mouloud; Shukla, Padma Kant
Physical Review E, Vol. 85, Issue 5
DOI: 10.1103/PhysRevE.85.056413

Pulsed-power-driven cylindrical liner implosions of laser preheated fuel magnetized with an axial field
journal, May 2010

Slutz, S. A.; Herrmann, M. C.; Vesey, R. A.
Physics of Plasmas, Vol. 17, Issue 5
DOI: 10.1063/1.3333505

Transport of Magnetic Flux in an Arbitrary Coordinate ALE Code
journal, February 1998

Peterkin, Robert E.; Frese, Michael H.; Sovinec, Carl R.
Journal of Computational Physics, Vol. 140, Issue 1
DOI: 10.1006/jcph.1998.5880

Magneto-Inertial Fusion
journal, November 2015

Wurden, G. A.; Hsu, S. C.; Intrator, T. P.
Journal of Fusion Energy, Vol. 35, Issue 1
DOI: 10.1007/s10894-015-0038-x

Ion acoustic shock waves in electron-positron-ion quantum plasma
journal, July 2008

Masood, W.; Mirza, Arshad M.; Hanif, M.
Physics of Plasmas, Vol. 15, Issue 7
DOI: 10.1063/1.2949702

Shock formation in Ne, Ar, Kr, and Xe on deuterium gas puff implosions
journal, December 2016

Narkis, J.; Rahman, H. U.; Ney, P.
Physics of Plasmas, Vol. 23, Issue 12
DOI: 10.1063/1.4972547

Shock waves in a Z-pinch and the formation of high energy density plasma
journal, December 2012

Rahman, H. U.; Wessel, F. J.; Ney, P.
Physics of Plasmas, Vol. 19, Issue 12
DOI: 10.1063/1.4769264

Reductive Perturbation Method in Nonlinear Wave Propagation. I
journal, April 1968

Taniuti, Tosiya; Wei, Chau-Chin
Journal of the Physical Society of Japan, Vol. 24, Issue 4
DOI: 10.1143/JPSJ.24.941

Propagation of ion-acoustic waves in a multi-component plasma
journal, December 1975

Das, G. C.; Tagare, S. G.
Plasma Physics, Vol. 17, Issue 12
DOI: 10.1088/0032-1028/17/12/002

Magnetic Rayleigh-Taylor instability mitigation and efficient radiation production in gas puff Z-pinch implosions
journal, May 2007

Sze, H.; Levine, J. S.; Banister, J.
Physics of Plasmas, Vol. 14, Issue 5
DOI: 10.1063/1.2436468

Observation of Ion-Acoustic Shocks in a Dusty Plasma
journal, August 1999

Nakamura, Y.; Bailung, H.; Shukla, P. K.
Physical Review Letters, Vol. 83, Issue 8
DOI: 10.1103/PhysRevLett.83.1602

The Korteweg-de Vries-Burgers equation
journal, April 1977

Canosa, José; Gazdag, Jenö
Journal of Computational Physics, Vol. 23, Issue 4
DOI: 10.1016/0021-9991(77)90070-5

Unified Shock Profile in a Plasma
journal, January 1967

Grad, Harold
Physics of Fluids, Vol. 10, Issue 12
DOI: 10.1063/1.1762081

Korteweg-de Vries Burgers equation for magnetosonic wave in plasma
journal, May 2011

Hussain, S.; Mahmood, S.
Physics of Plasmas, Vol. 18, Issue 5
DOI: 10.1063/1.3590862

The reductive perturbation method and some of its applications
journal, February 2008

Leblond, Hervé
Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 41, Issue 4
DOI: 10.1088/0953-4075/41/4/043001

Anisotropy and feedthrough in magneto-Rayleigh-Taylor instability
journal, June 2011

Lau, Y. Y.; Zier, J. C.; Rittersdorf, I. M.
Physical Review E, Vol. 83, Issue 6
DOI: 10.1103/PhysRevE.83.066405

Nonlinear Korteweg–de Vries–Burger equation for ion acoustic shock waves in a weakly relativistic electron-positron-ion plasma with thermal ions
journal, March 2010

Saeed, R.; Shah, Asif
Physics of Plasmas, Vol. 17, Issue 3
DOI: 10.1063/1.3328805

Korteweg‐de Vries Equation and Generalizations. III. Derivation of the Korteweg‐de Vries Equation and Burgers Equation
journal, March 1969

Su, C. H.; Gardner, C. S.
Journal of Mathematical Physics, Vol. 10, Issue 3
DOI: 10.1063/1.1664873

Study of gas-puff Z-pinches on COBRA
journal, November 2014

Qi, N.; Rosenberg, E. W.; Gourdain, P. A.
Physics of Plasmas, Vol. 21, Issue 11
DOI: 10.1063/1.4900748

Beryllium liner implosion experiments on the Z accelerator in preparation for magnetized liner inertial fusion
journal, May 2013

McBride, R. D.; Martin, M. R.; Lemke, R. W.
Physics of Plasmas, Vol. 20, Issue 5
DOI: 10.1063/1.4803079

High-Gain Magnetized Inertial Fusion
journal, January 2012

Slutz, Stephen A.; Vesey, Roger A.
Physical Review Letters, Vol. 108, Issue 2
DOI: 10.1103/PhysRevLett.108.025003

Collisional Theory of Shock and Nonlinear Waves in a Plasma
journal, January 1972

Hu, Pung Nien
Physics of Fluids, Vol. 15, Issue 5
DOI: 10.1063/1.1693994

The tanh method: a tool for solving certain classes of non-linear PDEs
journal, January 2005

Malfliet, W.
Mathematical Methods in the Applied Sciences, Vol. 28, Issue 17
DOI: 10.1002/mma.650

Simulations of Ar gas-puff Z-pinch radiation sources with double shells and central jets on the Z generator
journal, October 2016

Tangri, V.; Harvey-Thompson, A. J.; Giuliani, J. L.
Physics of Plasmas, Vol. 23, Issue 10
DOI: 10.1063/1.4965235

Magnetosonic shocks in nonlinear dispersive media
journal, January 1980

Bujarbarua, S.; Shukla, P. K.
Astrophysics and Space Science, Vol. 69, Issue 2
DOI: 10.1007/BF00661936

Similar Records in DOE PAGES and OSTI.GOV collections:

Staged Z-pinch modeling of high and low atomic number liners compressing deuterium targets using parameters of the Z pulsed power facility

Journal Article Ruskov, E. ; Ney, P. ; Rahman, H. U. - Physics of Plasmas

The staged Z-pinch is a potentially transformative magneto-inertial fusion energy concept where a high atomic number liner implodes on a deuterium or deuterium-tritium target using multi-MA pulsed current. Over the past several years, this concept was studied experimentally on 1 MA facilities with argon or krypton gas puffs compressing a magnetized deuterium target. Consistent thermonuclear neutron yield of 1010 per shot was measured with krypton liners. In this paper, we investigate the fusion performance of deuterium targets of varying density undergoing compression with low (beryllium) and high atomic number liners (silver, tantalum) using parameters of the Z pulsed power facility.more »« less
https://doi.org/10.1063/5.0051028
Shock formation in Ne, Ar, Kr, and Xe on deuterium gas puff implosions

Journal Article Narkis, J. ; Rahman, H. U. ; Ney, P. ; ... - Physics of Plasmas

1- and 2-D simulations of 1-cm radius, gas-puff liners of Ne, Ar, Kr, and Xe imploding onto a deuterium target are conducted using the discharge parameters for the Zebra (1 MA, 130 ns) driver using the resistive MHD code MACH2. This is an implementation of the Staged Z-pinch concept, in which the target is driven to high-energy-density first by shock compression launched by a diffused azimuthal magnetic field (J×B force), and then by the adiabatic compression as the liner converges on axis. During the run-in phase, the initial shock heating preheats the deuterium plasma, with a subsequent stable, adiabatic compressionmore »« less
Cited by 8
https://doi.org/10.1063/1.4972547

Full Text Available
Coupled nonlinear drift and ion acoustic waves in dense dissipative electron-positron-ion magnetoplasmas

Journal Article Masood, W ; Siddiq, M ; Karim, S ; ... - Physics of Plasmas

Linear and nonlinear propagation characteristics of drift ion acoustic waves are investigated in an inhomogeneous electron-positron-ion (e-p-i) quantum magnetoplasma with neutrals in the background using the well known quantum hydrodynamic model. In this regard, Korteweg-de Vries-Burgers (KdVB) and Kadomtsev-Petviashvili-Burgers (KPB) equations are obtained. Furthermore, the solutions of KdVB and KPB equations are presented by using the tangent hyperbolic (tanh) method. The variation in the shock profile with the quantum Bohm potential, collision frequency, and the ratio of drift to shock velocity in the comoving frame, v{sub *}/u, is also investigated. It is found that increasing the positron concentration and collisionmore »« less
https://doi.org/10.1063/1.3253623
Dust ion-acoustic shocks in quantum dusty pair-ion plasmas

Journal Article Misra, A P - Physics of Plasmas

The formation of dust ion-acoustic shocks in a four-component quantum plasma whose constituents are electrons, both positive and negative ions, and immobile charged dust grains, is studied. The effects of both the dissipation due to kinematic viscosity and the dispersion caused by the charge separation as well as the quantum tunneling associated with the Bohm potential are taken into account. The propagation of small but finite amplitude dust ion-acoustic waves is governed by the Korteweg-de Vries-Burger equation, which exhibits both oscillatory and monotonic shocks depending not only on the viscosity parameters {eta}{sub {+-}}={mu}{sub {+-}}{omega}{sub p-}/c{sub s}{sup 2} (where {mu}{sub {+-}}more »« less
https://doi.org/10.1063/1.3085789
Shock waves in a Z-pinch and the formation of high energy density plasma

Journal Article Rahman, H U ; Wessel, F J ; Ney, P ; ... - Physics of Plasmas

A Z-pinch liner, imploding onto a target plasma, evolves in a step-wise manner, producing a stable, magneto-inertial, high-energy-density plasma compression. The typical configuration is a cylindrical, high-atomic-number liner imploding onto a low-atomic-number target. The parameters for a terawatt-class machine (e.g., Zebra at the University of Nevada, Reno, Nevada Terawatt Facility) have been simulated. The 2-1/2 D MHD code, MACH2, was used to study this configuration. The requirements are for an initial radius of a few mm for stable implosion; the material densities properly distributed, so that the target is effectively heated initially by shock heating and finally by adiabatic compression;more »« less
https://doi.org/10.1063/1.4769264

Similar Records

Title: Investigation of magnetic flux transport and shock formation in a staged Z-pinch

Abstract

Citation Formats

Dust ion-acoustic solitary waves in a dusty plasma with nonextensive electrons journal, May 2012

Pulsed-power-driven cylindrical liner implosions of laser preheated fuel magnetized with an axial field journal, May 2010

Transport of Magnetic Flux in an Arbitrary Coordinate ALE Code journal, February 1998

Magneto-Inertial Fusion journal, November 2015

Ion acoustic shock waves in electron-positron-ion quantum plasma journal, July 2008

Shock formation in Ne, Ar, Kr, and Xe on deuterium gas puff implosions journal, December 2016

Shock waves in a Z-pinch and the formation of high energy density plasma journal, December 2012

Reductive Perturbation Method in Nonlinear Wave Propagation. I journal, April 1968

Propagation of ion-acoustic waves in a multi-component plasma journal, December 1975

Magnetic Rayleigh-Taylor instability mitigation and efficient radiation production in gas puff Z-pinch implosions journal, May 2007

Observation of Ion-Acoustic Shocks in a Dusty Plasma journal, August 1999

The Korteweg-de Vries-Burgers equation journal, April 1977

Unified Shock Profile in a Plasma journal, January 1967

Korteweg-de Vries Burgers equation for magnetosonic wave in plasma journal, May 2011

The reductive perturbation method and some of its applications journal, February 2008

Anisotropy and feedthrough in magneto-Rayleigh-Taylor instability journal, June 2011

Nonlinear Korteweg–de Vries–Burger equation for ion acoustic shock waves in a weakly relativistic electron-positron-ion plasma with thermal ions journal, March 2010

Korteweg‐de Vries Equation and Generalizations. III. Derivation of the Korteweg‐de Vries Equation and Burgers Equation journal, March 1969

Study of gas-puff Z-pinches on COBRA journal, November 2014

Beryllium liner implosion experiments on the Z accelerator in preparation for magnetized liner inertial fusion journal, May 2013

High-Gain Magnetized Inertial Fusion journal, January 2012

Collisional Theory of Shock and Nonlinear Waves in a Plasma journal, January 1972

The tanh method: a tool for solving certain classes of non-linear PDEs journal, January 2005

Simulations of Ar gas-puff Z-pinch radiation sources with double shells and central jets on the Z generator journal, October 2016

Magnetosonic shocks in nonlinear dispersive media journal, January 1980

Dust ion-acoustic solitary waves in a dusty plasma with nonextensive electrons
journal, May 2012

Pulsed-power-driven cylindrical liner implosions of laser preheated fuel magnetized with an axial field
journal, May 2010

Transport of Magnetic Flux in an Arbitrary Coordinate ALE Code
journal, February 1998

Magneto-Inertial Fusion
journal, November 2015

Ion acoustic shock waves in electron-positron-ion quantum plasma
journal, July 2008

Shock formation in Ne, Ar, Kr, and Xe on deuterium gas puff implosions
journal, December 2016

Shock waves in a Z-pinch and the formation of high energy density plasma
journal, December 2012

Reductive Perturbation Method in Nonlinear Wave Propagation. I
journal, April 1968

Propagation of ion-acoustic waves in a multi-component plasma
journal, December 1975

Magnetic Rayleigh-Taylor instability mitigation and efficient radiation production in gas puff Z-pinch implosions
journal, May 2007

Observation of Ion-Acoustic Shocks in a Dusty Plasma
journal, August 1999

The Korteweg-de Vries-Burgers equation
journal, April 1977

Unified Shock Profile in a Plasma
journal, January 1967

Korteweg-de Vries Burgers equation for magnetosonic wave in plasma
journal, May 2011

The reductive perturbation method and some of its applications
journal, February 2008

Anisotropy and feedthrough in magneto-Rayleigh-Taylor instability
journal, June 2011

Nonlinear Korteweg–de Vries–Burger equation for ion acoustic shock waves in a weakly relativistic electron-positron-ion plasma with thermal ions
journal, March 2010

Korteweg‐de Vries Equation and Generalizations. III. Derivation of the Korteweg‐de Vries Equation and Burgers Equation
journal, March 1969

Study of gas-puff Z-pinches on COBRA
journal, November 2014

Beryllium liner implosion experiments on the Z accelerator in preparation for magnetized liner inertial fusion
journal, May 2013

High-Gain Magnetized Inertial Fusion
journal, January 2012

Collisional Theory of Shock and Nonlinear Waves in a Plasma
journal, January 1972

The tanh method: a tool for solving certain classes of non-linear PDEs
journal, January 2005

Simulations of Ar gas-puff Z-pinch radiation sources with double shells and central jets on the Z generator
journal, October 2016

Magnetosonic shocks in nonlinear dispersive media
journal, January 1980