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Numerical study of Faraday-type nitrogen plasma magnetohydrodynamic generator

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Abstract

The variables of a magnetohydrodynamic (MHD) generator were analyzed for the application of a cogeneration system in a coal-fired power station. The MHD generator system is more efficient than other generation systems, owing to its high working temperature. The system is typically combined with a steam generator because high-temperature conditions result in significant residual heat. The magnetic and electric fields, which directly affect the electric output, should be analyzed under this condition. The electric field, velocity, and magnetic flux density of the MHD generator were analyzed, and nitrogen plasma in the temperature range of 3000 K was employed. The electric power was affected by velocity, magnetic flux density, and electric conductivity. The electric power was proportional to the square of the velocity and magnetic flux density and proportional to the electrical conductivity. A de Laval nozzle was adopted to increase the velocity. The electric power was optimized according to the angle of the de Laval nozzle. Power generation was derived through the geometrical size and magnetic flux density of the prototype Faraday-type nitrogen plasma MHD generator.

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Abbreviations

\(\vec{B}\) :

Magnetic flux density [T]

\(\overrightarrow {{B_{0} }}\) :

External supplied magnetic flux density [T]

\(\vec{b}\) :

Induced magnetic flux density [T]

\(\vec{E}\) :

Electric field intensity [V/m]

\(\vec{J}\) :

Current density [A/m2]

\(L\) :

Characteristic length scale [m]

\(P\) :

Power density [W/m3]

\(\vec{p}\) :

Developed pressure [Pa]

\(t\) :

Time [s]

\(\vec{U}\) :

Fluid velocity [m/s]

\(\mu\) :

Magnetic permeability [H/m]

\(\mu_{{\text{d}}}\) :

Dynamic viscosity [Pa·s]

\(\nu\) :

Kinematic viscosity [m2/s]

\(\rho\) :

Density [kg/m3]

\(\sigma\) :

Electrical conductivity [1/(Ω·m)]

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Acknowledgements

This research was supported by the Korea Electric Power Corporation (R18XA06-26) and the Rare Isotope Science Project of the Institute for Basic Science funded by Ministry of Science and ICT and NRF of Republic of Korea (2013M7A1A1075764).

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Authors and Affiliations

  1. Department of Nuclear Engineering, Ulsan National Institute of Science and Technology, Ulsan, 689-798, Republic of Korea

    Geun Hyeong Lee & Hee Reyoung Kim

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  1. Geun Hyeong Lee
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  2. Hee Reyoung Kim
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Correspondence to Hee Reyoung Kim.

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Lee, G.H., Kim, H.R. Numerical study of Faraday-type nitrogen plasma magnetohydrodynamic generator. J. Korean Phys. Soc. 78, 600–606 (2021). https://doi.org/10.1007/s40042-021-00116-z

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  • DOI: https://doi.org/10.1007/s40042-021-00116-z

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