Validity of Low Magnetic Reynolds Number Formulation of Magnetofluiddynamics

Khan, Ovais U.; Hoffmann, Klaus A.; Dietiker, Jean-François

doi:10.2514/6.2007-4374

Cited by 19 publications

(7 citation statements)

References 16 publications

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“…where e int is advanced using Eq. [12], andγ, which equals 1.4 for chemically frozen air, is calculated using Eqs. [1] from the curve fitting method for air in chemical and thermodynamic equilibrium.…”

Section: The Mhd Modelmentioning

confidence: 99%

“…The full MHD model presented in Section III advances in time the eight-dimensional flux vector [ρ, ρu, ρv, ρw, B x , B y , B z , ρe t ], where u, v, and w are the x, y, and z components of u, using Eqs. [9], [10], [12], and [8] in conservation form. The full MHD 8-dimensional problem is conceptually clear, because only the magnetic field is advanced in time.…”

Section: The Full Mhd Model and The Low Magnetic Reynolds Number mentioning

confidence: 99%

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Low Rem 3-D MHD Hypersonic Equilibrium Flow Using High-Order WENO Schemes

Lee

Huerta

Zha

2010

48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition

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We present work on 3D hypersonic laminar flows of air around blunt bodies with applied magnetic fields of various strengths. The air is heated by a shock that can change its thermodynamic properties. We treat the air both as a calorically perfect gas (chemically frozen) and as a real gas in thermodynamic equilibrium. Due to the high temperature the thermodynamic properties of the air are affected changes in specific heats due to rotational and vibrational excitation, by molecular dissociation, ionization, and other effects. We calculate the thermodynamic properties of the air using the curve fitting method implemented in the TGAS FORTRAN subroutines. The hot air is partially ionized, but the electrical conductivity of the air is low enough that we can use a low magnetic Reynolds number MHD model. Our numerical method is based on the Low Diffusion E-CUSP (LDE) scheme developed by Zha 1 et al with a 5th order WENO scheme.

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Section: The Mhd Modelmentioning

confidence: 99%

Section: The Full Mhd Model and The Low Magnetic Reynolds Number mentioning

confidence: 99%

Low Rem 3-D MHD Hypersonic Equilibrium Flow Using High-Order WENO Schemes

Lee

Huerta

Zha

2010

48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition

View full text Add to dashboard Cite

show abstract

“…[8], [9], [13], and [7] in conservation form. The only electrical quantities that appear in the equations are B, σ, and µ 0 , although the presence of E is felt in the boundary conditions.…”

Section: The Full Mhd Model and The Low Magnetic Reynolds Numbermentioning

confidence: 99%

“…We take the electric field to be zero, and we apply a uniform magnetic field in the y direction B a = B aŷ as in Refs. [6] and [9]. There is no transformation to the ξ, η, ζ variables, so l =x, and m =ŷ.…”

Section: Validation Of Codementioning

confidence: 99%

Low Magnetic Reynolds Number Hypersonic MHD Flow Using High Order WENO Schemes

Lee

Huerta

Zha

2009

47th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition

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In this paper we incorporate a low magnetic Reynolds number MHD model to a high order CFD algorithm with WENO and a low diffusion scheme for 3D Navier-Stokes equations. We present results for hypersonic laminar flows around a flat plate and around a blunt body, with different strengths of magnetic fields, to demonstrate the methodology. More simulations, including turbulence, are in progress and will be reported in the final paper.

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“…Cheng et al [11] researched the effect of an applied magnetic field by assuming absence of Joule heating and a constant electrical conductivity of 100 mho/m over a flat plate at Mach 4.5; the imposed magnetic fields significantly decelerated the boundary layer. Khan et al [12] investigated the validity of a low magnetic Reynolds number approach for modeling some magneto-fluid dynamics problems. The results obtained from low magnetic number approximation compare well with the results obtained by solving the full MFD equations for low ranges of the magnetic Reynolds number (R m ≪ 1:0).…”

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic Control of Hypersonic Separation Flows

Luo

Liu

Jiang

et al. 2021

International Journal of Aerospace Engineering

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Magnetohydrodynamic (MHD) control of hypersonic laminar separation flows is investigated in this paper. A series of numerical simulations over various geometry configurations, namely, a compression corner and a double wedge ramp hypersonic inlet, have been conducted by application of an external electromagnetic field. Results show that the performance of MHD separation flow control is mainly determined by flow acceleration of the Lorentz force directed in the streamwise direction. The Joule heating term always brings negative effects on the MHD separation flow control and increased the static pressure locally, where the electromagnetic field is applied. With an external electromagnetic field applied, the low velocity fluid in the boundary layer can be accelerated. Moreover, there exists a best location for the MHD zone to be applied and completely eliminate the separation of the flow from the surface.

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Validity of Low Magnetic Reynolds Number Formulation of Magnetofluiddynamics

Cited by 19 publications

References 16 publications

Low Rem 3-D MHD Hypersonic Equilibrium Flow Using High-Order WENO Schemes

Low Rem 3-D MHD Hypersonic Equilibrium Flow Using High-Order WENO Schemes

Low Magnetic Reynolds Number Hypersonic MHD Flow Using High Order WENO Schemes

Magnetohydrodynamic Control of Hypersonic Separation Flows

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