A fully non-linear theory of electro-magneto-hydrodynamics

Ko, Hyung–Jong; Dulikravich, George S.

doi:10.1016/s0020-7462(99)00053-0

Cited by 16 publications

(15 citation statements)

References 13 publications

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“…The corresponding set of electromagneto-hydrodynamic (EMHD) flow equations was formulated by Ko and Dulikravich (1998). It consists of modified Maxwell's equations governing electro-magnetism in a moving fluid, the modified Navier-Stokes equations governing heat and fluid flow under the influence of electric and magnetic fields, and constitutive equations (Wineman and Rajagopal, 1995) describing behavior of the fluid.…”

Section: Governing Equations Of Emhd Flowsmentioning

confidence: 99%

“…Recently, a series of rigorous theoretical continuum mechanics treatments of EMHD flows Maugin, 1990a, 1990b;Lakhtakia, 1993;Dulikravich and Lynn, 1995a, 1995b, 1997a, 1997bDulikravich andJing, 1996, 1997;Dulikravich, 1998;Ko and Dulikravich, 1998) have been developed. Especially, Eringen and Maugin (1990a;1990b) laid the firm foundations of the EMHD theory and developed the most complete and robust model for the balance laws and constitutive equations.…”

Section: Introductionmentioning

confidence: 99%

“…Especially, Eringen and Maugin (1990a;1990b) laid the firm foundations of the EMHD theory and developed the most complete and robust model for the balance laws and constitutive equations. Following their general formulation, Ko and Dulikravich (1998) developed a fully consistent non-linear multi-dimensional EMHD model.…”

Section: Introductionmentioning

confidence: 99%

“…Based on their recently developed fully consistent non-linear EMHD theory, Ko and Dulikravich (1998) derived non-reflective boundary conditions for two-dimensional planar EMHD flows (Ko and Dulikravich, 1999). Like the numerous studies on the open boundary conditions, such as for MHD flows by Sun et al (1995) and for acoustics by Reitsma et al (1993), this formulation was an extension of Thompson's (1987Thompson's ( , 1990) method for the general hyperbolic system of equations.…”

Section: Introductionmentioning

confidence: 99%

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Non-Reflective Boundary Conditions for a Consistent Model of Axisymmetric Electro-Magneto-Hydrodynamic Flows

Ko¹,

Dulikravich²

2000

International Journal of Nonlinear Sciences and Numerical Simulation

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In this paper, the non-reflective boundary conditions for the axisymmetric electro-magneto-hydrodynamic (EMHD) flows have been derived. The electro-magneto-hydrodynamics (EMHD) deals with the motion of electrically conducting incompressible fluids under the combined influence of externally applied and internally generated electric and magnetic fields. A consistent axisymmetric EMHD flow model with linear constitutive relations and artificial compressibility was expressed in cylindrical coordinates. After some simplifications, the resulting EMHD system comprised of modified Maxwell equations for the electro-magnetic fields and modified Navier-Stokes equations for the flow-field, was transformed to a characteristic form, and the non-reflective boundary conditions were derived. The results show the strong mutual interactions between the axisymmetric flow-field and the electro-magnetic fields. The limiting cases, including the conventional axisymmetric flowfield model and the electro-magnetic field model in vacuum, are recoverable from these results. Nomenclature Β = μ 0 (Η + Μ) magnetic flux density, kg A" 1 s" 2 Ε electric field intensity, kg m s" 3 A" 1 S specific heat at constant pressure, E = E + vxB electromotive intensity, kg m s" 3 A" 1 K"' m 2 s" 2 f mechanical body force per unit mass, D = ε 0 Ε + Ρ electric displacement vector, Asm" 2 m S -J D d " .,,... Η magnetic field intensity, A m" 1 -= -+ ν · V

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Section: Governing Equations Of Emhd Flowsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Non-Reflective Boundary Conditions for a Consistent Model of Axisymmetric Electro-Magneto-Hydrodynamic Flows

Ko¹,

Dulikravich²

2000

International Journal of Nonlinear Sciences and Numerical Simulation

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“…The approach is based on the use of fundamental laws of continuum mechanics and thermodynamics. See, for example, [13]. However, because of the considerable complexity of even simpler versions of the combined electromagnetohydrodynamic models, it is still hard to analyze, even numerically, the combined influence of electric and magnetic fields and the fluid flow.…”

Section: Introductionmentioning

confidence: 99%