MAGNETOHYDRODYNAMIC HELICITY AND LAMINAR FLOW KINEMATIC DYNAMO GENERATORS
20230107844 · 2023-04-06
Inventors
Cpc classification
International classification
Abstract
Described are toroidal devices to produce steady state, helical, Taylor-Couette-like magnetohydrodynamic singular structure flows in plasma or other conductive fluids with full magnetohydrodynamic helicity. Linking of two or more such toroidal devices can be used to generate a laminar kinematic dynamo. Only one is required to confine plasma at the pressures and for times required to produce nuclear fusion. Such high-temperature plasma can also be used for centrifugal ionic separation, nuclear transmutations at production quantity, and in the near term as a study tool in the development of materials to withstand high temperature and neutron flux. Plasma is a high-energy state of matter capable of relativistic velocity en masse, and as such, relativistic plasma or other conductive fluid devices are a means to generate gravity.
Claims
1. A dynamo generator.
2. The dynamo generator of claim 1 formed of at least two magnetohydrodynamic helicity generators.
3. The magnetohydrodynamic helicity generator of claim 2 comprising an internal working fluid.
4. The magnetohydrodynamic helicity generator of claim 2 being a toroidal device.
5. The magnetohydrodynamic helicity generator of claim 2 having cusped magnetic fields at the edge of the internal working fluid driven by currents external to the internal working fluid.
6. The magnetohydrodynamic helicity generator of claim 3 wherein the internal working fluid comprises an ionized gas (plasma) or other conductive fluid such as seawater, liquid metal, liquid salt or other suitable conductive fluid.
7. The magnetohydrodynamic generator of claim 2 comprising electrodes disposed at the edge of the internal working fluid to provide currents across the cusped magnetic fields to provide torque upon the internal working fluid.
8. The magnetohydrodynamic generator of claim 7 wherein the electrodes are opposing in polarity around the poloidal and/or toroidal arc of the magnetohydrodynamic helicity generator.
9. The dynamo generator of claim 1 being formed of at least two interlocking magnetohydrodynamic helicity generators.
10. The dynamo generator of claim 1 being formed of a single toroidal magnetohydrodynamic generator with topological writhe, twist, or connection.
11. The magnetohydrodynamic helicity generator of claim 2 having at least one of the means for magnetic helicity injection into the internal working fluid.
12. The magnetohydrodynamic generator of claim 2 having magnetic and electric fields with spatially periodic poloidal and toroidal components.
13. The magnetohydrodynamic generator of claim 12 wherein the periodicity is being provided by separate toroidal and poloidal field coils and electrodes.
14. The magnetohydrodynamic generator of claim 12 wherein the periodicity is being provided by winding at least two coils in a helical manner around the poloidal and toroidal directions of the magnetohydrodynamic generator to create the spatially periodic magnetic field and an array of electrodes suitably positioned to provide currents across the spatially periodic magnetic fields.
Description
DESCRIPTION OF THE DRAWINGS
[0010] The present invention and its features will be better understood by reference to the accompanying drawings, wherein:
[0011]
[0012]
[0013]
[0014]
[0015]
[0016]
[0017] For the purposes of promoting an understanding of the principles of the invention, reference will now be made to the embodiments illustrated in the drawings and specific language will be used to describe the same. It will nevertheless be understood that no limitation of the scope of the invention is thereby intended, any alterations and further modifications in the described embodiments, and any further applications of the principles of the invention as described herein are contemplated as would normally occur to one skilled in the art to which the invention relates.
DESCRIPTION OF THE INVENTION
[0018]
[0019] Producing both toroidal and poloidal flows forms a hydrodynamic singular structure by conservation of hydrodynamic helicity [4]. Conservation of helicity maintains flux linkage. Analogous to the way smoke and bubble ring hydrodynamic vorticity conservation conserves flux linkage, poloidal flow conserves poloidal particle flux linkage as toroidal circulation conserves toroidal particle flux linkage. In the practice of plasma confinement, particles lost out any one cusp loss region (poloidal or toroidal) would necessarily reduce flux linkage, so in the absence of transient disruptive effects plasma is confined.
[0020] Magnetic helicity in a fluid with helical flow produces a magnetic singular structure possessing canonical MEM helicity. A number of means of magnetic helicity injection have been developed including coaxial [17] and steady-inductive imposed-dynamo current drive [18]. Added heating can employ any of the conventional wave or particle means [19]. A 3-dimensional view of one embodiment MHD helicity generator is shown in
[0021] Beginning in the 1960's, adequate starting singular structure plasma rings, plasmoids, or spheromaks, the configuration sought in the Tormac, were produced in experiments [20]. In the 1970's hot electrons (T.sub.e>T.sub.i) enabled separatrix formation about the magnetic axis to separate passing and confined plasma in multipole cusped-field toroidal plasma configurations [21] [20] [22].
[0022] Two ways of visualizing a single MHD helicity generator may be instructive. The cylindrical Plasma Couette eXperiment, predecessor to the spherical Big Red Ball, produces azimuthal (toroidal) flow by driving currents across magnetic fields spatially periodic along the polar (poloidal) z-axis [23]. If the axis is extended and the ends linked into a torus the device is now driving poloidal flow by the change in coordinate. To generate helical flow, to the now toroidal device with toroidal field periodicity and poloidal flow, periodic poloidal magnetic cusps and currents can be added to drive toroidal flow. The PCX device has an additional central column of fields and currents but we ignore these in this example. The spherical Big Red Ball device does not have this central column.
[0023] Alternatively, the MHD helicity generator looks somewhat similar to a magnetic helicity-injected Tokamak fusion reactor, but all the magnetic fields are cusped, and across the magnetic fields, currents drive flow. In the Tokamak the toroidal and poloidal magnetic fields are aligned, the device must withstand compressive stress, and the plasma is subject to interchange down the field gradient. The Tokamak design does not have means to drive flow aside from external drives such as neutral beam injection despite flow being crucial for transition to the high-confinement H-mode of operation. In the tokamak, the magnetic field is bent into a torus and this is well known to be unstable. In the device proposed here the cusped fields produce an expansive force on the reactor and there is no interchange risk. Here, a steady-state singular structure plasmoid is spun up and confined to a static minimum-B well, and this is well known to be stable [24] [25] [26], in the very least, when the flow velocity is driven at the Alfvén velocity [27].
[0024] In another embodiment of the invention the device may be constructed of coils that wind both ways around the toroidal device to produce the necessary poloidal and toroidal spatial field periodicity across which currents can be driven to drive flow.
[0025] Dynamo behavior, or the production of a steady magnetic field by the flow of a conductive fluid, is expected when laminar vortex rotor flows of conducting fluids with meridional (poloidal) circulation are combined with “sufficient vigour and complexity” [28]. We claim here that such vigor can be combinations of the above magnetic laminar flows in an interlocking geometry as shown in the
[0026] Gravity is created by sufficiently increasing the electric and magnetic forces in one or a combination of the above reactor systems to engage a measurable change in Maxwellian stress-energy tensor by the Thirring-Lense effect of rapidly rotating bodies [30].
[0027] While the invention has been illustrated and described in what is presently considered to be the most practical and preferred embodiment, it is to be understood that the invention is not to be limited to the disclosed embodiments, but on the contrary, is intended to cover various modifications and equivalent arrangements included within the spirit and scope of the appended claims, which scope is to be accorded the broadest interpretation so as to encompass all such modifications and equivalent structures as permitted under the law. Accordingly, the scope of the present invention should be considered in terms of the following claims and is understood not to be limited to the details of structure and operation shown and described in the specification and drawings.
[0028] It should be understood that while the use of the word preferable, preferably, or preferred in the description above indicates that feature so described may be more desirable, it nonetheless may not be necessary and any embodiment lacking the same may be contemplated as within the scope of the invention, that scope being defined by the claims that follow. In reading the claims it is intended that when words such as “a,” “an,” “at least one” and “at least a portion” are used, there is no intention to limit the claim to only one item unless specifically stated to the contrary in the claim. Unless specifically stated to the contrary in the claim, the language “at least one of X, Y, and Z” should be interpreted as including both the conjunctive and disjunctive forms. Specifically, the language “at least one of X, Y, and Z” is intended to encompass the following permutations of X, Y, and Z: X alone; Y alone; Z alone; X and Y; X and Z; Y and Z; and X, Y, and Z. Further, when the language “at least a portion” and/or “a portion” is used the item may include a portion and/or the entire item unless specifically stated to the contrary. [0029] [1] National Academies of Sciences, Engineering, and Medicine, Final Report of the Committee on a Strategic Plan for U.S. Burning Plasma Research, 2019. [0030] [2] D. P. Lathrop and C. B. Forest, Magnetic Dynamos in the Lab, Phys. Today 64, 40 (2011). [0031] [3] M. Bellan Paul, Magnetic Helicity, Spheromaks, Solar Corona Loops, And Astrophysical Jets (World Scientific, 2018). [0032] [4] H. K. Moffatt, Helicity and Singular Structures in Fluid Dynamics, Proc. Natl. Acad. Sci. 111, 3663 (2014). [0033] [5] G. Webb, Helicity in Fluids and MHD, in Magnetohydrodynamics and Fluid Dynamics: Action Principles and Conservation Laws, edited by G. Webb (Springer International Publishing, Cham, 2018), pp. 21-36. [0034] [6] J. D. Jackson, Classical Electrodynamics, 3rd Ed., Am. J. Phys. 67, 841 (1999). [0035] [7] T. G. Cowling, Magnetohydrodynamics (Interscience Publishers, 1957). [0036] [8] G. O. Roberts, Spatially Periodic Dynamos, Philos. Trans. R. Soc. Lond. Ser. Math. Phys. Sci. 266, 535 (1970). [0037] [9] G. O. Roberts, Dynamo Action of Fluid Motions with Two-Dimensional Periodicity, Philos. Trans. R. Soc. Lond. Ser. Math. Phys. Sci. 271, 411 (1972). [0038] [10] T. J. Dolan, Magnetic Electrostatic Plasma Confinement, Plasma Phys. Control. Fusion 36, 1539 (1994). [0039] [11] N. N. Komarov, Topology of Steady-State Plasma Configurations in Transverse Self-Consistent Fields: Spatial-Periodic Plasma Structures: I, Nucl. Fusion 3, 174 (1963). [0040] [12] N. N. Komarov, I. F. Kvartskhava, and V. M. Fadeev, Topology of Steady-State Plasma Configurations in Transverse Self-Consistent Fields: Spatial-Periodic Structures: II., Nucl. Fusion 5, 192 (1965). [0041] [13] E. J. Spence, K. Reuter, and C. B. Forest, A Spherical Plasma Dynamo Experiment, Astrophys. J. 700, 470 (2009). [0042] [14] C. Collins, M. Clark, C. Cooper, K. Flanagan, I. Khalzov, M. Nornberg, B. Seidlitz, J. Wallace, and C. Forest, Taylor-Couette Flow of Unmagnetized Plasma, Phys. Plasmas 21, 042117 (2014). [0043] [15] C. M. Cooper et al., The Madison Plasma Dynamo Experiment: A Facility for Studying Laboratory Plasma Astrophysics, Phys. Plasmas 21, 013505 (2014). [0044] [16] G. H. Miley and U. S. E. R. and D. A. D. of T. Information, Fusion Energy Conversion (American Nuclear Society, 1976). [0045] [17] R. Raman, T. Brown, L. A. El-Guebaly, T. R. Jarboe, B. A. Nelson, and J. E. Menard, Design Description for a Coaxial Helicity Injection Plasma Start-Up System for a ST-FNSF, Fusion Sci. Technol. 68, 674 (2015). [0046] [18] T. Jarboe, B. Victor, B. Nelson, C. Hansen, C. Akcay, D. Ennis, N. Hicks, A. Hossack, G. Marklin, and R. Smith, Imposed-Dynamo Current Drive, Nucl. Fusion 52, 083017 (2012). [0047] [19] R. A. Cairns, Radiofrequency Heating of Plasmas, 1st ed. (CRC Press, Bristol, England; Philadelphia, 1991). [0048] [20] C. W. Hartman, Formation of Toroidal Plasma Confinement Configurations by Using Hot Electrons, No. UCID-18239, California Univ., 1979. [0049] [21] C. W. Hartman, Toroidal Stabilized Pinch Formed with Relativistic Electrons, Phys. Rev. Lett. 26, 826 (1971). [0050] [22] M. A. Levine, Use of a Hot Sheath Tormac for Advance Fuels, (1977). [0051] [23] C. Collins, N. Katz, J. Wallace, J. Jara-Almonte, I. Reese, E. Zweibel, and C. B. Forest, Stirring Unmagnetized Plasma, Phys. Rev. Lett. 108, 115001 (2012). [0052] [24] R. N. Sudan, Stability of Field-Reversed, Force-Free, Plasma Equilibria with Mass Flow, Phys. Rev. Lett. 42, 1277 (1979). [0053] [25] K. C. Tsinganos, Magnetohydrodynamic Equilibrium. III—Helically Symmetric Fields. IV—Nonequilibrium of Nonsymmetric Hydrodynamic Topologies, Astrophys. J. 259, 820 (1982). [0054] [26] E. Hameiri, The Equilibrium and Stability of Rotating Plasmas, Phys. Fluids 26, 230 (1983). [0055] [27] S. Chandrasekhar, ON THE STABILITY OF THE SIMPLEST SOLUTION OF THE EQUATIONS OF HYDROMAGNETICS, Proc. Natl. Acad. Sci. U. S. A. 42, 273 (1956). [0056] [28] K. Moffatt and E. Dormy, Self-Exciting Fluid Dynamos (Cambridge University Press, Cambridge, 2019). [0057] [29] A. B. Hassam and Y.-M. Huang, Thermoelectric Rotating Torus for Fusion, Phys. Rev. Lett. 91, 195002 (2003). [0058] [30] B. Mashhoon, F. W. Hehl, and D. S. Theiss, On the Gravitational Effects of Rotating Masses: The Thirring-Lense Papers, Gen. Relativ. Gravit. 16, 711 (1984).