A Variational Principle for Magnetohydrodynamic Channel Flow PDF Download
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Author: Norman C. Wenger
Publisher:
ISBN:
Category : Magnetohydrodynamics
Languages : en
Pages : 36
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Book Description
Variational principle for calculating velocity profile and electric potential distribution in magnetohydrodynamic channel flow.
Author: Norman C. Wenger
Publisher:
ISBN:
Category : Magnetohydrodynamics
Languages : en
Pages : 36
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Book Description
Variational principle for calculating velocity profile and electric potential distribution in magnetohydrodynamic channel flow.
Author: Norman C. Wenger
Publisher:
ISBN:
Category :
Languages : en
Pages : 25
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Book Description
Author: Edward Detyna
Publisher:
ISBN:
Category : Magnetohydrodynamics
Languages : en
Pages : 19
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Book Description
Author: John M. Greene
Publisher:
ISBN:
Category : Magnetohydrodynamic instabilities
Languages : en
Pages : 23
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Book Description
Author: Arthur Sherman
Publisher:
ISBN:
Category : Magnetohydrodynamics
Languages : en
Pages : 82
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Book Description
I PLIFI C NEL Flow probl ms for hich exact olu io c b fou r i cu Bo h dy s te n r i probl r co i r ccou t i k of flux ll v loci y i ribu io CO RY FLO RE LSO I CU BULK OF OLU IO S R V LI FOR RBI RARY M AG IC Reynol s nu bers al ough so c l flo it on-uniform m gne ic fi l ll G TIC R Y OL U B R RE DISCU u or - $ +* N
Author: Peter A. Davidson
Publisher: Springer
ISBN: 3709125464
Category : Technology & Engineering
Languages : en
Pages : 158
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Book Description
This book is an introduction to terrestial magnetohydrodynamics. It is a compendium of introductory lectures by experts in the field, focussing on applications in industry and the laboratory. A concise overview of the subject with references to further study.
Author: Roy M. Gundersen
Publisher: Springer Science & Business Media
ISBN: 3642460054
Category : Technology & Engineering
Languages : en
Pages : 144
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Book Description
Magnetohydrodynamics is concerned with the motion of electrically conducting fluids in the presence of electric or magnetic fields. Un fortunately, the subject has a rather poorly developed experimental basis and because of the difficulties inherent in carrying out controlled laboratory experiments, the theoretical developments, in large measure, have been concerned with finding solutions to rather idealized problems. This lack of experimental basis need not become, however, a multi megohm impedance in the line of progress in the development of a satisfactory scientific theory. While it is true that ultimately a scientific theory must agree with and, in actuality, predict physical phenomena with a reasonable degree of accuracy, such a theory must be sanctioned by its mathematical validity and consistency. Physical phenomena may be expressed precisely and quite comprehensively through the use of differential equations, and the equations formulated by LUNDQUIST and discussed by FRIEDRICHS belong to a class of equations particularly well-understood and extensively studied. This class includes, in fact, many other eminent members, the solutions of which have led to results of far-reaching scientific and technological application. Frequently, the mathematical analysis has provided the foundations and guidance necessary for further developments, and, reciprocally, the physical problems have provided, in many cases, the impetus for the development of new mathematical theories which often have evolved to an a priori unpredictable extent.
Author: Rafael Vazquez
Publisher: Springer Science & Business Media
ISBN: 0817646981
Category : Language Arts & Disciplines
Languages : en
Pages : 218
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Book Description
This monograph presents new constructive design methods for boundary stabilization and boundary estimation for several classes of benchmark problems in flow control, with potential applications to turbulence control, weather forecasting, and plasma control. One of the main features of the book is a unique "backstepping" approach to parabolic partial differential equations, which yields not only the stabilization of the flow, but also the explicit solvability of the closed-loop system. The work is an excellent reference for a broad, interdisciplinary engineering and mathematics audience: control theorists, fluid mechanicists, mechanical engineers, aerospace engineers, chemical engineers, electrical engineers, applied mathematicians, as well as research and graduate students in these fields.
Author: Münevver Tezer-Sezgin
Publisher: Springer Nature
ISBN: 3031583531
Category :
Languages : en
Pages : 151
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Book Description
Author: Gary Webb
Publisher: Springer
ISBN: 3319725114
Category : Science
Languages : en
Pages : 306
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Book Description
This text focuses on conservation laws in magnetohydrodynamics, gasdynamics and hydrodynamics. A grasp of new conservation laws is essential in fusion and space plasmas, as well as in geophysical fluid dynamics; they can be used to test numerical codes, or to reveal new aspects of the underlying physics, e.g., by identifying the time history of the fluid elements as an important key to understanding fluid vorticity or in investigating the stability of steady flows. The ten Galilean Lie point symmetries of the fundamental action discussed in this book give rise to the conservation of energy, momentum, angular momentum and center of mass conservation laws via Noether’s first theorem. The advected invariants are related to fluid relabeling symmetries – so-called diffeomorphisms associated with the Lagrangian map – and are obtained by applying the Euler-Poincare approach to Noether’s second theorem. The book discusses several variants of helicity including kinetic helicity, cross helicity, magnetic helicity, Ertels’ theorem and potential vorticity, the Hollman invariant, and the Godbillon Vey invariant. The book develops the non-canonical Hamiltonian approach to MHD using the non-canonical Poisson bracket, while also refining the multisymplectic approach to ideal MHD and obtaining novel nonlocal conservation laws. It also briefly discusses Anco and Bluman’s direct method for deriving conservation laws. A range of examples is used to illustrate topological invariants in MHD and fluid dynamics, including the Hopf invariant, the Calugareanu invariant, the Taylor magnetic helicity reconnection hypothesis for magnetic fields in highly conducting plasmas, and the magnetic helicity of Alfvén simple waves, MHD topological solitons, and the Parker Archimedean spiral magnetic field. The Lagrangian map is used to obtain a class of solutions for incompressible MHD. The Aharonov-Bohm interpretation of magnetic helicity and cross helicity is discussed. In closing, examples of magnetosonic N-waves are used to illustrate the role of the wave number and group velocity concepts for MHD waves. This self-contained and pedagogical guide to the fundamentals will benefit postgraduate-level newcomers and seasoned researchers alike.
