Multi-Physics Mathematical Model of Weakly-Ionized Plasma Flows

Osama Ahmed Marzouk

doi:doi:10.11648/j.ajmp.20180702.14

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Multi-Physics Mathematical Model of Weakly-Ionized Plasma Flows

Osama Ahmed Marzouk

Published in American Journal of Modern Physics (Volume 7, Issue 2)

Received: 28 January 2018 Accepted: 8 February 2018 Published: 5 March 2018

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Abstract

This work presents a multidisciplinary mathematical model, as a set of coupled governing equations and auxiliary relations describing the fluid-flow, thermal, and electric fields of partially-ionized plasma with low magnetic Reynolds numbers. The model is generic enough to handle three-dimensionality, Hall effect, compressibility, and variability of fluid, thermal, and electric properties of the plasma. The model can be of interest to computational modelers aiming to build a solver that quantitatively assesses direct extraction of electric energy from a plasma flow. Three different approaches are proposed to solve numerically for the electric fields with different levels of tolerance toward possible numerical instability encountered at a large Hall parameter, where the effective conductivity tensor loses diagonal dominance and becomes close to singular. A submodel for calculating the local electric properties of the plasma is presented in detail and is applied to demonstrate the effect of different factors on the electric conductivity, including the fuel’s carbon/hydrogen ratio and the alkaline seed element that acts as the ionizing species. An analytical expression for the collision cross-section for argon is developed, such that this noble gas can be included as one of the gaseous species comprising the plasma.

Published in	American Journal of Modern Physics (Volume 7, Issue 2)
DOI	10.11648/j.ajmp.20180702.14
Page(s)	87-102
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2018. Published by Science Publishing Group

Keywords

Plasma, Modeling, Hall Effect, Magnetohydrodynamic, MHD Generator

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Osama Ahmed Marzouk. (2018). Multi-Physics Mathematical Model of Weakly-Ionized Plasma Flows. American Journal of Modern Physics, 7(2), 87-102. https://doi.org/10.11648/j.ajmp.20180702.14

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ACS Style

Osama Ahmed Marzouk. Multi-Physics Mathematical Model of Weakly-Ionized Plasma Flows. Am. J. Mod. Phys. 2018, 7(2), 87-102. doi: 10.11648/j.ajmp.20180702.14

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Osama Ahmed Marzouk. Multi-Physics Mathematical Model of Weakly-Ionized Plasma Flows. Am J Mod Phys. 2018;7(2):87-102. doi: 10.11648/j.ajmp.20180702.14

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@article{10.11648/j.ajmp.20180702.14,
  author = {Osama Ahmed Marzouk},
  title = {Multi-Physics Mathematical Model of Weakly-Ionized Plasma Flows},
  journal = {American Journal of Modern Physics},
  volume = {7},
  number = {2},
  pages = {87-102},
  doi = {10.11648/j.ajmp.20180702.14},
  url = {https://doi.org/10.11648/j.ajmp.20180702.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20180702.14},
  abstract = {This work presents a multidisciplinary mathematical model, as a set of coupled governing equations and auxiliary relations describing the fluid-flow, thermal, and electric fields of partially-ionized plasma with low magnetic Reynolds numbers. The model is generic enough to handle three-dimensionality, Hall effect, compressibility, and variability of fluid, thermal, and electric properties of the plasma. The model can be of interest to computational modelers aiming to build a solver that quantitatively assesses direct extraction of electric energy from a plasma flow. Three different approaches are proposed to solve numerically for the electric fields with different levels of tolerance toward possible numerical instability encountered at a large Hall parameter, where the effective conductivity tensor loses diagonal dominance and becomes close to singular. A submodel for calculating the local electric properties of the plasma is presented in detail and is applied to demonstrate the effect of different factors on the electric conductivity, including the fuel’s carbon/hydrogen ratio and the alkaline seed element that acts as the ionizing species. An analytical expression for the collision cross-section for argon is developed, such that this noble gas can be included as one of the gaseous species comprising the plasma.},
 year = {2018}
}

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TY  - JOUR
T1  - Multi-Physics Mathematical Model of Weakly-Ionized Plasma Flows
AU  - Osama Ahmed Marzouk
Y1  - 2018/03/05
PY  - 2018
N1  - https://doi.org/10.11648/j.ajmp.20180702.14
DO  - 10.11648/j.ajmp.20180702.14
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 87
EP  - 102
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20180702.14
AB  - This work presents a multidisciplinary mathematical model, as a set of coupled governing equations and auxiliary relations describing the fluid-flow, thermal, and electric fields of partially-ionized plasma with low magnetic Reynolds numbers. The model is generic enough to handle three-dimensionality, Hall effect, compressibility, and variability of fluid, thermal, and electric properties of the plasma. The model can be of interest to computational modelers aiming to build a solver that quantitatively assesses direct extraction of electric energy from a plasma flow. Three different approaches are proposed to solve numerically for the electric fields with different levels of tolerance toward possible numerical instability encountered at a large Hall parameter, where the effective conductivity tensor loses diagonal dominance and becomes close to singular. A submodel for calculating the local electric properties of the plasma is presented in detail and is applied to demonstrate the effect of different factors on the electric conductivity, including the fuel’s carbon/hydrogen ratio and the alkaline seed element that acts as the ionizing species. An analytical expression for the collision cross-section for argon is developed, such that this noble gas can be included as one of the gaseous species comprising the plasma.
VL  - 7
IS  - 2
ER  -

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Author Information

Osama Ahmed Marzouk

College of Engineering, University of Buraimi, Al Buraimi, Sultanate of Oman

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Osama Ahmed Marzouk. (2018). Multi-Physics Mathematical Model of Weakly-Ionized Plasma Flows. American Journal of Modern Physics, 7(2), 87-102. https://doi.org/10.11648/j.ajmp.20180702.14

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ACS Style

Osama Ahmed Marzouk. Multi-Physics Mathematical Model of Weakly-Ionized Plasma Flows. Am. J. Mod. Phys. 2018, 7(2), 87-102. doi: 10.11648/j.ajmp.20180702.14

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AMA Style

Osama Ahmed Marzouk. Multi-Physics Mathematical Model of Weakly-Ionized Plasma Flows. Am J Mod Phys. 2018;7(2):87-102. doi: 10.11648/j.ajmp.20180702.14

Copy | Download

@article{10.11648/j.ajmp.20180702.14,
  author = {Osama Ahmed Marzouk},
  title = {Multi-Physics Mathematical Model of Weakly-Ionized Plasma Flows},
  journal = {American Journal of Modern Physics},
  volume = {7},
  number = {2},
  pages = {87-102},
  doi = {10.11648/j.ajmp.20180702.14},
  url = {https://doi.org/10.11648/j.ajmp.20180702.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20180702.14},
  abstract = {This work presents a multidisciplinary mathematical model, as a set of coupled governing equations and auxiliary relations describing the fluid-flow, thermal, and electric fields of partially-ionized plasma with low magnetic Reynolds numbers. The model is generic enough to handle three-dimensionality, Hall effect, compressibility, and variability of fluid, thermal, and electric properties of the plasma. The model can be of interest to computational modelers aiming to build a solver that quantitatively assesses direct extraction of electric energy from a plasma flow. Three different approaches are proposed to solve numerically for the electric fields with different levels of tolerance toward possible numerical instability encountered at a large Hall parameter, where the effective conductivity tensor loses diagonal dominance and becomes close to singular. A submodel for calculating the local electric properties of the plasma is presented in detail and is applied to demonstrate the effect of different factors on the electric conductivity, including the fuel’s carbon/hydrogen ratio and the alkaline seed element that acts as the ionizing species. An analytical expression for the collision cross-section for argon is developed, such that this noble gas can be included as one of the gaseous species comprising the plasma.},
 year = {2018}
}

Copy | Download

TY  - JOUR
T1  - Multi-Physics Mathematical Model of Weakly-Ionized Plasma Flows
AU  - Osama Ahmed Marzouk
Y1  - 2018/03/05
PY  - 2018
N1  - https://doi.org/10.11648/j.ajmp.20180702.14
DO  - 10.11648/j.ajmp.20180702.14
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 87
EP  - 102
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20180702.14
AB  - This work presents a multidisciplinary mathematical model, as a set of coupled governing equations and auxiliary relations describing the fluid-flow, thermal, and electric fields of partially-ionized plasma with low magnetic Reynolds numbers. The model is generic enough to handle three-dimensionality, Hall effect, compressibility, and variability of fluid, thermal, and electric properties of the plasma. The model can be of interest to computational modelers aiming to build a solver that quantitatively assesses direct extraction of electric energy from a plasma flow. Three different approaches are proposed to solve numerically for the electric fields with different levels of tolerance toward possible numerical instability encountered at a large Hall parameter, where the effective conductivity tensor loses diagonal dominance and becomes close to singular. A submodel for calculating the local electric properties of the plasma is presented in detail and is applied to demonstrate the effect of different factors on the electric conductivity, including the fuel’s carbon/hydrogen ratio and the alkaline seed element that acts as the ionizing species. An analytical expression for the collision cross-section for argon is developed, such that this noble gas can be included as one of the gaseous species comprising the plasma.
VL  - 7
IS  - 2
ER  -

Copy | Download