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. |
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Copyright © The Author(s), 2024. Published by Science Publishing Group |
Plasma, Modeling, Hall Effect, Magnetohydrodynamic, MHD Generator
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APA Style
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
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
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
@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} }
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 -