Polywell – a Path to Electrostatic Fusion
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Chapter 3 Dynamics of the Electromagnetic Fields
Chapter 3 Dynamics of the Electromagnetic Fields 3.1 Maxwell Displacement Current In the early 1860s (during the American civil war!) electricity including induction was well established experimentally. A big row was going on about theory. The warring camps were divided into the • Action-at-a-distance advocates and the • Field-theory advocates. James Clerk Maxwell was firmly in the field-theory camp. He invented mechanical analogies for the behavior of the fields locally in space and how the electric and magnetic influences were carried through space by invisible circulating cogs. Being a consumate mathematician he also formulated differential equations to describe the fields. In modern notation, they would (in 1860) have read: ρ �.E = Coulomb’s Law �0 ∂B � ∧ E = − Faraday’s Law (3.1) ∂t �.B = 0 � ∧ B = µ0j Ampere’s Law. (Quasi-static) Maxwell’s stroke of genius was to realize that this set of equations is inconsistent with charge conservation. In particular it is the quasi-static form of Ampere’s law that has a problem. Taking its divergence µ0�.j = �. (� ∧ B) = 0 (3.2) (because divergence of a curl is zero). This is fine for a static situation, but can’t work for a time-varying one. Conservation of charge in time-dependent case is ∂ρ �.j = − not zero. (3.3) ∂t 55 The problem can be fixed by adding an extra term to Ampere’s law because � � ∂ρ ∂ ∂E �.j + = �.j + �0�.E = �. j + �0 (3.4) ∂t ∂t ∂t Therefore Ampere’s law is consistent with charge conservation only if it is really to be written with the quantity (j + �0∂E/∂t) replacing j. -
The Fork in the Road to Electric Power from Fusion US Navy Compact
The Fork in the Road to Electric Power From Fusion US Navy compact fusion reactors Peter Lobner, 1 February 2021 1. Background For at least the past 40 years, the US Navy has been funding fusion power research and development in considerable secrecy. In this article, we’ll take a brief look at the following US Navy fusion programs, focusing on the two most recent programs. • LINUS - pulsed stabilized liquid liner compressor (SLC) • Low Energy Nuclear Reactions (LENR, aka cold fusion) • Polywell fusion - inertial electrostatic confinement (IEC) • NIKE & Electra krypton fluoride direct-drive laser inertial confinement fusion (ICF) • Plasma compression fusion device (2019) • Argon fluoride direct-drive laser ICF (2020) 2. LINUS - pulsed stabilized liquid liner compressor (SLC) In the 1970s, this Naval Research Laboratory (NRL)-sponsored project developed and tested several pulsed stabilized liquid liner compressor (SLC) machines: LINUS-0, SUZY-II and HELIUS. A plasma is injected into a void space in a flowing molten lead-lithium liner. The liquid liner is then imploded mechanically, using high- pressure helium-driven pistons. The imploding liner compresses and adiabatically heats the plasma to fusion conditions. While the SLC concept was abandoned by the US Navy in the 1970s, it was revived in the 2000s as the basis for the small fusion reactor designs being developed by Compact Fusion Systems (US) and General Fusion (Canada). 3. Low Energy Nuclear Reactions (LENR, aka cold fusion) From the mid 1990s to at least the mid-2000s the US Navy sponsored research into cold fusion. You’ll find a list of cold fusion papers by Navy researchers from NRL, China Lake Naval Weapons 1 The Fork in the Road to Electric Power From Fusion Laboratory, and Space and Naval Warfare Systems Center (SPAWAR) here: https://lenr-canr.org/wordpress/?page_id=952 4. -
Inertial Electrostatic Confinement Fusor Cody Boyd Virginia Commonwealth University
Virginia Commonwealth University VCU Scholars Compass Capstone Design Expo Posters College of Engineering 2015 Inertial Electrostatic Confinement Fusor Cody Boyd Virginia Commonwealth University Brian Hortelano Virginia Commonwealth University Yonathan Kassaye Virginia Commonwealth University See next page for additional authors Follow this and additional works at: https://scholarscompass.vcu.edu/capstone Part of the Engineering Commons © The Author(s) Downloaded from https://scholarscompass.vcu.edu/capstone/40 This Poster is brought to you for free and open access by the College of Engineering at VCU Scholars Compass. It has been accepted for inclusion in Capstone Design Expo Posters by an authorized administrator of VCU Scholars Compass. For more information, please contact [email protected]. Authors Cody Boyd, Brian Hortelano, Yonathan Kassaye, Dimitris Killinger, Adam Stanfield, Jordan Stark, Thomas Veilleux, and Nick Reuter This poster is available at VCU Scholars Compass: https://scholarscompass.vcu.edu/capstone/40 Team Members: Cody Boyd, Brian Hortelano, Yonathan Kassaye, Dimitris Killinger, Adam Stanfield, Jordan Stark, Thomas Veilleux Inertial Electrostatic Faculty Advisor: Dr. Sama Bilbao Y Leon, Mr. James G. Miller Sponsor: Confinement Fusor Dominion Virginia Power What is Fusion? Shielding Computational Modeling Because the D-D fusion reaction One of the potential uses of the fusor will be to results in the production of neutrons irradiate materials and see how they behave after and X-rays, shielding is necessary to certain levels of both fast and thermal neutron protect users from the radiation exposure. To reduce the amount of time and produced by the fusor. A Monte Carlo resources spent testing, a computational model n-Particle (MCNP) model was using XOOPIC, a particle interaction software, developed to calculate the necessary was developed to model the fusor. -
Conceptual Design Report on JT-60SA ___1. JT-60SA
Conceptual Design Report on JT-60SA ________ 1. JT-60SA Mission and Program 1.1 Introduction Realization of fusion energy requires long-term research and development. A schematic of fusion energy development is shown in Fig. 1.1-1. Fusion energy development is divided into 3 phases before commercialization. The large Tokamak phase achieved equivalent break-even plasmas in JET and JT-60 and significant DT Power productions in TFTR and JET. A programmatic objective of the ITER phase is demonstration of scientific and technical feasibility of fusion energy. A primary objective of the DEMO phase is to demonstrate power (electricity) production in a manner leading to commercialization of fusion energy. The fast track approach to fusion energy is to shorten its development period for fusion energy utilization by adding appropriate programs (BA program) in parallel with ITER. Program elements are advanced tokamak/simulation studies and fusion technology/material development. Fig. 1.1-1 Schematic of fusion energy development To specify program elements needed in parallel with ITER, we have to identify the concept of DEMO. Typical DEMO concepts of Japan and EU are shown in Fig.1.1-2. Although size spans widely, operation mode is unanimously “steady-state”. Ranges of the normalized beta are pretty close each other, βN=3.5 to 4.3 for JA DEMO and 3.4 to 4.5 for EU DEMO. Fig. 1.1-2 Cross section and parameters of JA-EU DEMO studies ave 2 The neutron wall load of DEMO exceeds that of ITER (Pn =0.57MW/m ) by a factor of 3-6. -
Simulation of a Device Providing Nuclear Fusion by Electrostatic Confinement, with Multiplasma
1 Simulation of a device providing nuclear fusion by electrostatic confinement, with Multiplasma Copyright © 2018 Patrick Lindecker Maisons-Alfort (France) 22th of July 2018 Revision B Revision B: replacement of the term « efficiency » by « yield » to avoid an ambiguity and the aneutronic fusion H+ <-> B11+ taken into account. 1. Goal To design your own electrostatic confinement nuclear fusion reactor. It is addressed to people interested by nuclear fusion, having a good general culture in physics (and who are patient because simulations can be long). It is set aside the fact that your project is physically achievable or not. 2. Warning This design will be just for the « fun » or from curiosity, because even if the calculations done by Multiplasma are as serious as possible, in the limit of the knowledge of the author (who is not a nuclear physicist but a generalist engineer), of course, nobody is going to build your nuclear reactor… Otherwise, none checking has been made by another person and the program development does not follow any quality assurance process (so there are probably a lot of errors). It is just a personal program made available to those interested by this subject. 3. Brief explanations of a few of the terms used: Deuterium (D or D2) / Tritium (T or T2): these are hydrogen isotopes comprising, besides one proton, either one neutron (Deuterium) or 2 neutrons (Tritium). As other elements, they are susceptible to produce fusions by collisions. The Deuterium is relatively abundant, in sea water, for example. It constitutes 0.01 % of hydrogen. The tritium is naturally present at traces 2 amounts but it is produced (as a gaseous effluent) by fission nuclear centrals, in very small quantities. -
Thermonuclear AB-Reactors for Aerospace
1 Article Micro Thermonuclear Reactor after Ct 9 18 06 AIAA-2006-8104 Micro -Thermonuclear AB-Reactors for Aerospace* Alexander Bolonkin C&R, 1310 Avenue R, #F-6, Brooklyn, NY 11229, USA T/F 718-339-4563, [email protected], [email protected], http://Bolonkin.narod.ru Abstract About fifty years ago, scientists conducted R&D of a thermonuclear reactor that promises a true revolution in the energy industry and, especially, in aerospace. Using such a reactor, aircraft could undertake flights of very long distance and for extended periods and that, of course, decreases a significant cost of aerial transportation, allowing the saving of ever-more expensive imported oil-based fuels. (As of mid-2006, the USA’s DoD has a program to make aircraft fuel from domestic natural gas sources.) The temperature and pressure required for any particular fuel to fuse is known as the Lawson criterion L. Lawson criterion relates to plasma production temperature, plasma density and time. The thermonuclear reaction is realised when L > 1014. There are two main methods of nuclear fusion: inertial confinement fusion (ICF) and magnetic confinement fusion (MCF). Existing thermonuclear reactors are very complex, expensive, large, and heavy. They cannot achieve the Lawson criterion. The author offers several innovations that he first suggested publicly early in 1983 for the AB multi- reflex engine, space propulsion, getting energy from plasma, etc. (see: A. Bolonkin, Non-Rocket Space Launch and Flight, Elsevier, London, 2006, Chapters 12, 3A). It is the micro-thermonuclear AB- Reactors. That is new micro-thermonuclear reactor with very small fuel pellet that uses plasma confinement generated by multi-reflection of laser beam or its own magnetic field. -
Trivia Questions
TRIVIA QUESTIONS Submitted by: ANS Savannah River - A. Bryson, D. Hanson, B. Lenz, M. Mewborn 1. What was the code name used for the first U.S. test of a dry fuel hydrogen bomb? Castle Bravo 2. What was the name of world’s first artificial nuclear reactor to achieve criticality? Chicago Pile-1 (CP-1), I also seem to recall seeing/hearing them referred to as “number one,” “number two,” etc. 3. How much time elapsed between the first known sustained nuclear chain reaction at the University of Chicago and the _____ Option 1: {first use of this new technology as a weapon} or Option 2: {dropping of the atomic bomb in Hiroshima} A3) First chain reaction = December 2nd 1942, First bomb-drop = August 6th 1945 4. Some sort of question drawing info from the below tables. For example, “what were the names of the other aircraft that accompanied the Enola Gay (one point for each correct aircraft name)?” Another example, “What was the common word in the call sign of the pilots who flew the Japanese bombing missions?” A4) Screenshots of tables from the Wikipedia page “Atomic bombings of Hiroshima and Nagasaki” Savannah River Trivia / Page 1 of 18 5. True or False: Richard Feynman’s name is on the patent for a nuclear powered airplane? (True) 6. What is the Insectary of Bobo-Dioulasso doing to reduce the spread of sleeping sickness and wasting diseases that affect cattle using a nuclear technique? (Sterilizing tsetse flies; IAEA.org) 7. What was the name of the organization that studied that radiological effects on people after the atomic bombings? Atomic Bomb Casualty Commission 8. -
This Chapter Deals with Conservation of Energy, Momentum and Angular Momentum in Electromagnetic Systems
This chapter deals with conservation of energy, momentum and angular momentum in electromagnetic systems. The basic idea is to use Maxwell’s Eqn. to write the charge and currents entirely in terms of the E and B-fields. For example, the current density can be written in terms of the curl of B and the Maxwell Displacement current or the rate of change of the E-field. We could then write the power density which is E dot J entirely in terms of fields and their time derivatives. We begin with a discussion of Poynting’s Theorem which describes the flow of power out of an electromagnetic system using this approach. We turn next to a discussion of the Maxwell stress tensor which is an elegant way of computing electromagnetic forces. For example, we write the charge density which is part of the electrostatic force density (rho times E) in terms of the divergence of the E-field. The magnetic forces involve current densities which can be written as the fields as just described to complete the electromagnetic force description. Since the force is the rate of change of momentum, the Maxwell stress tensor naturally leads to a discussion of electromagnetic momentum density which is similar in spirit to our previous discussion of electromagnetic energy density. In particular, we find that electromagnetic fields contain an angular momentum which accounts for the angular momentum achieved by charge distributions due to the EMF from collapsing magnetic fields according to Faraday’s law. This clears up a mystery from Physics 435. We will frequently re-visit this chapter since it develops many of our crucial tools we need in electrodynamics. -
A European Success Story the Joint European Torus
EFDA JET JETJETJET LEAD ING DEVICE FOR FUSION STUDIES HOLDER OF THE WORLD RECORD OF FUSION POWER PRODUCTION EXPERIMENTS STRONGLY FOCUSSED ON THE PREPARATION FOR ITER EXPERIMENTAL DEVICE USED UNDER THE EUROPEAN FUSION DEVELOPEMENT AGREEMENT THE JOINT EUROPEAN TORUS A EUROPEAN SUCCESS STORY EFDA Fusion: the Energy of the Sun If the temperature of a gas is raised above 10,000 °C virtually all of the atoms become ionised and electrons separate from their nuclei. The result is a complete mix of electrons and ions with the sum of all charges being very close to zero as only small charge imbalance is allowed. Thus, the ionised gas remains almost neutral throughout. This constitutes a fourth state of matter called plasma, with a wide range of unique features. D Deuterium 3He Helium 3 The sun, and similar stars, are sphe- Fusion D T Tritium res of plasma composed mainly of Li Lithium hydrogen. The high temperature, 4He Helium 4 3He Energy U Uranium around 15 million °C, is necessary released for the pressure of the plasma to in Fusion T balance the inward gravitational for- ces. Under these conditions it is pos- Li Fission sible for hydrogen nuclei to fuse together and release energy. Nuclear binding energy In a terrestrial system the aim is to 4He U produce the ‘easiest’ fusion reaction Energy released using deuterium and tritium. Even in fission then the rate of fusion reactions becomes large enough only at high JG97.362/4c Atomic mass particle energy. Therefore, when the Dn required nuclear reactions result from the thermal motions of the nuclei, so-called thermonuclear fusion, it is necessary to achieve u • extremely high temperatures, of at least 100 million °C. -
Analysis of Equilibrium and Topology of Tokamak Plasmas
ANALYSIS OF EQUILIBRIUM AND TOPOLOGY OF TOKAMAK PLASMAS Boudewijn Philip van Millig ANALYSIS OF EQUILIBRIUM AND TOPOLOGY OF TOKAMAK PLASMAS BOUDEWHN PHILIP VAN MILUGEN Cover picture: Frequency analysis of the signal of a magnetic pick-up coil. Frequency increases upward and time increases towards the right. Bright colours indicate high spectral power. An MHD mode is seen whose frequency decreases prior to a disruption (see Chapter 5). II ANALYSIS OF EQUILIBRIUM AND TOPOLOGY OF TOKAMAK PLASMAS ANALYSE VAN EVENWICHT EN TOPOLOGIE VAN TOKAMAK PLASMAS (MET EEN SAMENVATTING IN HET NEDERLANDS) PROEFSCHRIFT TER VERKRUGING VAN DE GRAAD VAN DOCTOR IN DE WISKUNDE EN NATUURWETENSCHAPPEN AAN DE RUKSUNIVERSITEIT TE UTRECHT, OP GEZAG VAN DE RECTOR MAGNIFICUS PROF. DR. J.A. VAN GINKEL, VOLGENS BESLUTT VAN HET COLLEGE VAN DECANEN IN HET OPENBAAR TE VERDEDIGEN OP WOENSDAG 20 NOVEMBER 1991 DES NAMIDDAGS TE 2.30 UUR DOOR BOUDEWUN PHILIP VAN MILLIGEN GEBOREN OP 25 AUGUSTUS 1964 TE VUGHT DRUKKERU ELINKWIJK - UTRECHT m PROMOTOR: PROF. DR. F.C. SCHULLER CO-PROMOTOR: DR. N.J. LOPES CARDOZO The work described in this thesis was performed as part of the research programme of the 'Stichting voor Fundamenteel Onderzoek der Materie' (FOM) with financial support from the 'Nederlandse Organisatie voor Wetenschappelijk Onderzoek' (NWO) and EURATOM, and was carried out at the FOM-Instituut voor Plasmafysica te Nieuwegein, the Max-Planck-Institut fur Plasmaphysik, Garching bei Munchen, Deutschland, and the JET Joint Undertaking, Abingdon, United Kingdom. IV iEstos Bretones -
Magnetohydrodynamics 1 19.1Overview
Contents 19 Magnetohydrodynamics 1 19.1Overview...................................... 1 19.2 BasicEquationsofMHD . 2 19.2.1 Maxwell’s Equations in the MHD Approximation . ..... 4 19.2.2 Momentum and Energy Conservation . .. 8 19.2.3 BoundaryConditions. 10 19.2.4 Magneticfieldandvorticity . .. 12 19.3 MagnetostaticEquilibria . ..... 13 19.3.1 Controlled thermonuclear fusion . ..... 13 19.3.2 Z-Pinch .................................. 15 19.3.3 Θ-Pinch .................................. 17 19.3.4 Tokamak.................................. 17 19.4 HydromagneticFlows. .. 18 19.5 Stability of Hydromagnetic Equilibria . ......... 22 19.5.1 LinearPerturbationTheory . .. 22 19.5.2 Z-Pinch: Sausage and Kink Instabilities . ...... 25 19.5.3 EnergyPrinciple ............................. 28 19.6 Dynamos and Reconnection of Magnetic Field Lines . ......... 29 19.6.1 Cowling’stheorem ............................ 30 19.6.2 Kinematicdynamos............................ 30 19.6.3 MagneticReconnection. 31 19.7 Magnetosonic Waves and the Scattering of Cosmic Rays . ......... 33 19.7.1 CosmicRays ............................... 33 19.7.2 Magnetosonic Dispersion Relation . ..... 34 19.7.3 ScatteringofCosmicRays . 36 0 Chapter 19 Magnetohydrodynamics Version 1219.1.K.pdf, 7 September 2012 Please send comments, suggestions, and errata via email to [email protected] or on paper to Kip Thorne, 350-17 Caltech, Pasadena CA 91125 Box 19.1 Reader’s Guide This chapter relies heavily on Chap. 13 and somewhat on the treatment of vorticity • transport in Sec. 14.2 Part VI, Plasma Physics (Chaps. 20-23) relies heavily on this chapter. • 19.1 Overview In preceding chapters, we have described the consequences of incorporating viscosity and thermal conductivity into the description of a fluid. We now turn to our final embellishment of fluid mechanics, in which the fluid is electrically conducting and moves in a magnetic field. -
Formation of Hot, Stable, Long-Lived Field-Reversed Configuration Plasmas on the C-2W Device
IOP Nuclear Fusion International Atomic Energy Agency Nuclear Fusion Nucl. Fusion Nucl. Fusion 59 (2019) 112009 (16pp) https://doi.org/10.1088/1741-4326/ab0be9 59 Formation of hot, stable, long-lived 2019 field-reversed configuration plasmas © 2019 IAEA, Vienna on the C-2W device NUFUAU H. Gota1 , M.W. Binderbauer1 , T. Tajima1, S. Putvinski1, M. Tuszewski1, 1 1 1 1 112009 B.H. Deng , S.A. Dettrick , D.K. Gupta , S. Korepanov , R.M. Magee1 , T. Roche1 , J.A. Romero1 , A. Smirnov1, V. Sokolov1, Y. Song1, L.C. Steinhauer1 , M.C. Thompson1 , E. Trask1 , A.D. Van H. Gota et al Drie1, X. Yang1, P. Yushmanov1, K. Zhai1 , I. Allfrey1, R. Andow1, E. Barraza1, M. Beall1 , N.G. Bolte1 , E. Bomgardner1, F. Ceccherini1, A. Chirumamilla1, R. Clary1, T. DeHaas1, J.D. Douglass1, A.M. DuBois1 , A. Dunaevsky1, D. Fallah1, P. Feng1, C. Finucane1, D.P. Fulton1, L. Galeotti1, K. Galvin1, E.M. Granstedt1 , M.E. Griswold1, U. Guerrero1, S. Gupta1, Printed in the UK K. Hubbard1, I. Isakov1, J.S. Kinley1, A. Korepanov1, S. Krause1, C.K. Lau1 , H. Leinweber1, J. Leuenberger1, D. Lieurance1, M. Madrid1, NF D. Madura1, T. Matsumoto1, V. Matvienko1, M. Meekins1, R. Mendoza1, R. Michel1, Y. Mok1, M. Morehouse1, M. Nations1 , A. Necas1, 1 1 1 1 1 10.1088/1741-4326/ab0be9 M. Onofri , D. Osin , A. Ottaviano , E. Parke , T.M. Schindler , J.H. Schroeder1, L. Sevier1, D. Sheftman1 , A. Sibley1, M. Signorelli1, R.J. Smith1 , M. Slepchenkov1, G. Snitchler1, J.B. Titus1, J. Ufnal1, Paper T. Valentine1, W. Waggoner1, J.K. Walters1, C.