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Electromagnetohydrodynamic (EMHD) Flow in a Microchannel with Random Surface Roughness
This study investigates the effect of small random transverse wall roughness on electromagnetohydrodynamic (EMHD) flow is in a microchannel, employing the perturbation method based upon stationary random function theory. An exact solution of a random corrugation function ξ, which is a measure of the...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2023
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10456753/ https://www.ncbi.nlm.nih.gov/pubmed/37630153 http://dx.doi.org/10.3390/mi14081617 |
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author | Ma, Nailin Sun, Yanjun Jian, Yongjun |
author_facet | Ma, Nailin Sun, Yanjun Jian, Yongjun |
author_sort | Ma, Nailin |
collection | PubMed |
description | This study investigates the effect of small random transverse wall roughness on electromagnetohydrodynamic (EMHD) flow is in a microchannel, employing the perturbation method based upon stationary random function theory. An exact solution of a random corrugation function ξ, which is a measure of the flow rate deviated from the case without the roughness of two plates, is obtained by integrating the spectral density. After the sinusoidal, triangular, rectangular, and sawtooth functions that satisfy the Dirichlet condition are expanded into the Fourier sine series, the spectral density of the sine function is used to represent the corrugation function. Interestingly, for sinusoidal roughness, the final expression of the corrugation function is in good agreement with our previous work. Results show that no matter the shape of the wall roughness, the flow rate always decreases due to the existence of wall corrugation. Variations of the corrugation function and the flow rate strongly depend on fluid wavenumber λ and Hartmann number Ha. Finally, the flow resistance is found to become small, and the flow rate increases with roughness that is in phase (θ = 0) compared with the one that is out of phase (θ = π). |
format | Online Article Text |
id | pubmed-10456753 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-104567532023-08-26 Electromagnetohydrodynamic (EMHD) Flow in a Microchannel with Random Surface Roughness Ma, Nailin Sun, Yanjun Jian, Yongjun Micromachines (Basel) Article This study investigates the effect of small random transverse wall roughness on electromagnetohydrodynamic (EMHD) flow is in a microchannel, employing the perturbation method based upon stationary random function theory. An exact solution of a random corrugation function ξ, which is a measure of the flow rate deviated from the case without the roughness of two plates, is obtained by integrating the spectral density. After the sinusoidal, triangular, rectangular, and sawtooth functions that satisfy the Dirichlet condition are expanded into the Fourier sine series, the spectral density of the sine function is used to represent the corrugation function. Interestingly, for sinusoidal roughness, the final expression of the corrugation function is in good agreement with our previous work. Results show that no matter the shape of the wall roughness, the flow rate always decreases due to the existence of wall corrugation. Variations of the corrugation function and the flow rate strongly depend on fluid wavenumber λ and Hartmann number Ha. Finally, the flow resistance is found to become small, and the flow rate increases with roughness that is in phase (θ = 0) compared with the one that is out of phase (θ = π). MDPI 2023-08-16 /pmc/articles/PMC10456753/ /pubmed/37630153 http://dx.doi.org/10.3390/mi14081617 Text en © 2023 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Ma, Nailin Sun, Yanjun Jian, Yongjun Electromagnetohydrodynamic (EMHD) Flow in a Microchannel with Random Surface Roughness |
title | Electromagnetohydrodynamic (EMHD) Flow in a Microchannel with Random Surface Roughness |
title_full | Electromagnetohydrodynamic (EMHD) Flow in a Microchannel with Random Surface Roughness |
title_fullStr | Electromagnetohydrodynamic (EMHD) Flow in a Microchannel with Random Surface Roughness |
title_full_unstemmed | Electromagnetohydrodynamic (EMHD) Flow in a Microchannel with Random Surface Roughness |
title_short | Electromagnetohydrodynamic (EMHD) Flow in a Microchannel with Random Surface Roughness |
title_sort | electromagnetohydrodynamic (emhd) flow in a microchannel with random surface roughness |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10456753/ https://www.ncbi.nlm.nih.gov/pubmed/37630153 http://dx.doi.org/10.3390/mi14081617 |
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