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Mathematical magnetohydrodynamics /

By: Xiros, Nikolas [author.].
Material type: materialTypeLabelBookSeries: Synthesis digital library of engineering and computer science: ; Synthesis lectures on mechanical engineering: # 10.Publisher: [San Rafael, California] : Morgan & Claypool, 2018.Description: 1 PDF (ix, 155 pages) : illustrations.Content type: text Media type: electronic Carrier type: online resourceISBN: 9781681732459.Subject(s): Magnetohydrodynamics -- Mathematics | partial differential equations | instabilities | plasma | controlled thermonuclear nuclear fusion | magnetohydrodynamics (MHD)Genre/Form: Electronic books.DDC classification: 538.6 Online resources: Abstract with links to resource Also available in print.
Contents:
1. Plasma definition and classification -- 1.1 Definitions -- 1.2 Maxwellian temperature distribution -- 1.3 Debye length -- 1.4 Plasma frequency -- 1.5 Classification of plasmas --
2. Collisions in plasmas -- 2.1 General definitions -- 2.2 Binary elastic collision kinematics -- 2.3 Differential cross section -- 2.4 Momentum transfer -- 2.5 Coulomb collisions -- 2.6 Collisions of neutrals -- 2.7 Resonant charge transfer -- 2.8 Polarization scattering -- 2.9 Electron elastic scattering at neutrals -- 2.10 Electron impact ionization -- 2.11 Electron impact dissociation -- 2.12 Electron impact excitation -- 2.13 Penning ionization -- 2.14 Chemical reactions --
3. Motion of charged particles -- 3.1 Equation of motion -- 3.2 Constant magnetic field -- 3.3 Constant electric and magnetic fields -- 3.4 Inhomogeneous magnetic field -- 3.5 Gravitation and magnetic field -- 3.6 Drifts and instabilities -- 3.7 Time-dependent magnetic field -- 3.8 Time-dependent electric field -- 3.9 Adiabatic invariants --
4. Plasma as a fluid -- 4.1 Distribution function and moments -- 4.2 Particle, momentum, and energy balance -- 4.3 Drifts in fluid description --
5. Transport -- 5.1 Drift and diffusion -- 5.2 Transport of neutrals -- 5.3 Ambipolar diffusion -- 5.4 Diffusion in a magnetic field -- 5.5 Plasma resistivity -- 5.6 Electrical plasma heating --
6. Plasma boundary -- 6.1 Electrostatic sheath -- 6.2 Presheath -- 6.3 Potential, flux, ion energy -- 6.4 Negatively biased eElectrode -- 6.5 Collisional sheath -- 6.6 Electrostatic probe --
7. Plasma-surface interaction -- 7.1 Ion implantation and reemission -- 7.2 Collision cascade -- 7.3 Radiation damage -- 7.4 Sputtering -- 7.5 Chemical sputtering -- 7.6 Surface reactions -- 7.7 Secondary electron emission --
8. Particle waves and resonances -- 8.1 Electron oscillations -- 8.2 Electron waves -- 8.3 Ion waves -- 8.4 Electron oscillations in magnetic fields -- 8.5 Ion waves in magnetic fields --
9. Electromagnetic waves -- 9.1 Non-magnetized plasma -- 9.2 Magnetized plasma --
10. Plasma modeling -- 10.1 Global model -- 10.2 Reactive plasmas -- 10.3 Fluid modeling -- 10.4 Particle-in-cell computer simulation --
11. Low-temperature DC plasma -- 11.1 Breakdown -- 11.2 Regimes of operation -- 11.3 DC magnetron discharge --
12. Low-temperature RF plasmas -- 12.1 Capacitively coupled RF discharge -- 12.2 Ion energy distribution --
13. Magnetic confinement nuclear fusion plasma -- 13.1 Fusion reactions -- 13.2 Ignition -- 13.3 Machine concepts -- 13.4 Transport --
References -- Author's biography.
Abstract: Fundamentals of mathematical magnetohydrodynamics (MHD) start with definitions of major variables and parameters in MHD fluids (also known as MHD media) and specifically plasmas encountered in nature as well as in engineering systems, e.g., metallurgy or thermonuclear fusion power. Then collisions of fluids in such fluids are examined as well as motion of individual particles. Then the basic principles of MHD fluids are introduced along with transport phenomena, medium boundaries, and surface interactions. Then, waves and resonances of all sorts in MHD media are presented. The account concludes with the description of main MHD fluid types including plasma in fusion power generation.
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E books E books PK Kelkar Library, IIT Kanpur
Available EBKE860
Total holds: 0

Mode of access: World Wide Web.

Part of: Synthesis digital library of engineering and computer science.

Includes bibliographical references (pages 153-154).

1. Plasma definition and classification -- 1.1 Definitions -- 1.2 Maxwellian temperature distribution -- 1.3 Debye length -- 1.4 Plasma frequency -- 1.5 Classification of plasmas --

2. Collisions in plasmas -- 2.1 General definitions -- 2.2 Binary elastic collision kinematics -- 2.3 Differential cross section -- 2.4 Momentum transfer -- 2.5 Coulomb collisions -- 2.6 Collisions of neutrals -- 2.7 Resonant charge transfer -- 2.8 Polarization scattering -- 2.9 Electron elastic scattering at neutrals -- 2.10 Electron impact ionization -- 2.11 Electron impact dissociation -- 2.12 Electron impact excitation -- 2.13 Penning ionization -- 2.14 Chemical reactions --

3. Motion of charged particles -- 3.1 Equation of motion -- 3.2 Constant magnetic field -- 3.3 Constant electric and magnetic fields -- 3.4 Inhomogeneous magnetic field -- 3.5 Gravitation and magnetic field -- 3.6 Drifts and instabilities -- 3.7 Time-dependent magnetic field -- 3.8 Time-dependent electric field -- 3.9 Adiabatic invariants --

4. Plasma as a fluid -- 4.1 Distribution function and moments -- 4.2 Particle, momentum, and energy balance -- 4.3 Drifts in fluid description --

5. Transport -- 5.1 Drift and diffusion -- 5.2 Transport of neutrals -- 5.3 Ambipolar diffusion -- 5.4 Diffusion in a magnetic field -- 5.5 Plasma resistivity -- 5.6 Electrical plasma heating --

6. Plasma boundary -- 6.1 Electrostatic sheath -- 6.2 Presheath -- 6.3 Potential, flux, ion energy -- 6.4 Negatively biased eElectrode -- 6.5 Collisional sheath -- 6.6 Electrostatic probe --

7. Plasma-surface interaction -- 7.1 Ion implantation and reemission -- 7.2 Collision cascade -- 7.3 Radiation damage -- 7.4 Sputtering -- 7.5 Chemical sputtering -- 7.6 Surface reactions -- 7.7 Secondary electron emission --

8. Particle waves and resonances -- 8.1 Electron oscillations -- 8.2 Electron waves -- 8.3 Ion waves -- 8.4 Electron oscillations in magnetic fields -- 8.5 Ion waves in magnetic fields --

9. Electromagnetic waves -- 9.1 Non-magnetized plasma -- 9.2 Magnetized plasma --

10. Plasma modeling -- 10.1 Global model -- 10.2 Reactive plasmas -- 10.3 Fluid modeling -- 10.4 Particle-in-cell computer simulation --

11. Low-temperature DC plasma -- 11.1 Breakdown -- 11.2 Regimes of operation -- 11.3 DC magnetron discharge --

12. Low-temperature RF plasmas -- 12.1 Capacitively coupled RF discharge -- 12.2 Ion energy distribution --

13. Magnetic confinement nuclear fusion plasma -- 13.1 Fusion reactions -- 13.2 Ignition -- 13.3 Machine concepts -- 13.4 Transport --

References -- Author's biography.

Abstract freely available; full-text restricted to subscribers or individual document purchasers.

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Fundamentals of mathematical magnetohydrodynamics (MHD) start with definitions of major variables and parameters in MHD fluids (also known as MHD media) and specifically plasmas encountered in nature as well as in engineering systems, e.g., metallurgy or thermonuclear fusion power. Then collisions of fluids in such fluids are examined as well as motion of individual particles. Then the basic principles of MHD fluids are introduced along with transport phenomena, medium boundaries, and surface interactions. Then, waves and resonances of all sorts in MHD media are presented. The account concludes with the description of main MHD fluid types including plasma in fusion power generation.

Also available in print.

Title from PDF title page (viewed on January 26, 2018).

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