Electroosmotic Pressure-Driven Flow through a Slit Micro-Channel with Electric and Magnetic Transverse Field
In the present study, flow through two-dimensional microchannel under an axial electric field, transverse electric and magnetic fields and with axial pressure gradient has been investigated numerically. Continuity and momentum equations were solved steadily with respect to the non-slip condition by...
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| Veröffentlicht in: | Journal of Applied Fluid Mechanics 2019-05, Vol.12 (3), p.961-969 |
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| creator | Moradmand, A. Saghafian, M. Moghimi Mofrad, B. |
| description | In the present study, flow through two-dimensional microchannel under an axial electric field, transverse electric and magnetic fields and with axial pressure gradient has been investigated numerically. Continuity and momentum equations were solved steadily with respect to the non-slip condition by using discrete finite volume method and a numerical code. The results show that in the presence of the axial electric field, applying transverse magnetic field reduces flow velocity. However, when the transverse electric field and axial electric field exist together, applying the transverse magnetic field increases the flow rate to a certain extent and then reduces the flow rate. Hartmann number like this amount of magnetic field is known as critical Hartmann number. Therefore, with the presence of transverse and axial electric fields and transverse magnetic field, the highest possible flow rate is for critical Hartmann number. It was also found that by increasing the pressure gradient within the microchannel, the critical Hartmann number decreases. Moreover, by increasing the transverse electric field, the sensitivity of critical Hartmann number to the pressure gradient decreases and its value tends to a specific number (about 1.5). |
| doi_str_mv | 10.29252/jafm.12.03.28816 |
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Continuity and momentum equations were solved steadily with respect to the non-slip condition by using discrete finite volume method and a numerical code. The results show that in the presence of the axial electric field, applying transverse magnetic field reduces flow velocity. However, when the transverse electric field and axial electric field exist together, applying the transverse magnetic field increases the flow rate to a certain extent and then reduces the flow rate. Hartmann number like this amount of magnetic field is known as critical Hartmann number. Therefore, with the presence of transverse and axial electric fields and transverse magnetic field, the highest possible flow rate is for critical Hartmann number. It was also found that by increasing the pressure gradient within the microchannel, the critical Hartmann number decreases. Moreover, by increasing the transverse electric field, the sensitivity of critical Hartmann number to the pressure gradient decreases and its value tends to a specific number (about 1.5).</description><identifier>ISSN: 1735-3572</identifier><identifier>EISSN: 1735-3645</identifier><identifier>DOI: 10.29252/jafm.12.03.28816</identifier><language>eng</language><publisher>Isfahan: Isfahan University of Technology</publisher><subject>Continuity (mathematics) ; Electric fields ; Finite volume method ; Flow rates ; Flow velocity ; Hartmann number ; Magnetic fields ; Magnetism ; Microchannel; Electro-osmotic flow; Electro magneto hydro dynamic; Transverse electrical field; Critical hartmann number ; Microchannels ; Pressure ; Two dimensional flow</subject><ispartof>Journal of Applied Fluid Mechanics, 2019-05, Vol.12 (3), p.961-969</ispartof><rights>2019. This work is published under http://creativecommons.org/licenses/by-nc-nd/4.0/ (the “License”). 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Continuity and momentum equations were solved steadily with respect to the non-slip condition by using discrete finite volume method and a numerical code. The results show that in the presence of the axial electric field, applying transverse magnetic field reduces flow velocity. However, when the transverse electric field and axial electric field exist together, applying the transverse magnetic field increases the flow rate to a certain extent and then reduces the flow rate. Hartmann number like this amount of magnetic field is known as critical Hartmann number. Therefore, with the presence of transverse and axial electric fields and transverse magnetic field, the highest possible flow rate is for critical Hartmann number. It was also found that by increasing the pressure gradient within the microchannel, the critical Hartmann number decreases. Moreover, by increasing the transverse electric field, the sensitivity of critical Hartmann number to the pressure gradient decreases and its value tends to a specific number (about 1.5).</description><subject>Continuity (mathematics)</subject><subject>Electric fields</subject><subject>Finite volume method</subject><subject>Flow rates</subject><subject>Flow velocity</subject><subject>Hartmann number</subject><subject>Magnetic fields</subject><subject>Magnetism</subject><subject>Microchannel; Electro-osmotic flow; Electro magneto hydro dynamic; Transverse electrical field; Critical hartmann number</subject><subject>Microchannels</subject><subject>Pressure</subject><subject>Two dimensional flow</subject><issn>1735-3572</issn><issn>1735-3645</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>DOA</sourceid><recordid>eNo9kU1PwzAMhisEEhPsB3CLxLkl32mPaDBAYgIJOEdumq6ZugaSboh_T1iBky379WPLb5ZdEFzQigp6tYF2WxBaYFbQsiTyKJsRxUTOJBfHf7lQ9DSbx-hqzLnijKlqlvW3vTVj8D5u_egMeg42xl2w-U1wezugZe8_0dgFv1t3CNBL70a0cib4fNHBMNgefbqxQxMlzcPQoBWsB_sDew0wxL0N0aKls31znp200Ec7_41n2dvy9nVxnz8-3T0srh9zw0o65lXDjZAUWtkqWhOmREmAyIoSRVRZV40xACVrRQ1CWsmTgskai9RNRdays-xh4jYeNvo9uC2EL-3B6UPBh7WGkA7srcZNRaUoMYDE3BhSWQ6c0YTEmBFiEutyYr0H_7GzcdQbvwtDOl9TrhRVNBmQVGRSpc_EGGz7v5VgffBI_3ikCdWY6YNH7Bv6y4QF</recordid><startdate>20190501</startdate><enddate>20190501</enddate><creator>Moradmand, A.</creator><creator>Saghafian, M.</creator><creator>Moghimi Mofrad, B.</creator><general>Isfahan University of Technology</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7QH</scope><scope>7TB</scope><scope>7U5</scope><scope>7UA</scope><scope>8FD</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>C1K</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FR3</scope><scope>H8D</scope><scope>KR7</scope><scope>L7M</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>DOA</scope></search><sort><creationdate>20190501</creationdate><title>Electroosmotic Pressure-Driven Flow through a Slit Micro-Channel with Electric and Magnetic Transverse Field</title><author>Moradmand, A. ; Saghafian, M. ; Moghimi Mofrad, B.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c382t-9d4c562af6f72b137581a169217178b9dccaa83f5ba56e6413736b057173f53f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Continuity (mathematics)</topic><topic>Electric fields</topic><topic>Finite volume method</topic><topic>Flow rates</topic><topic>Flow velocity</topic><topic>Hartmann number</topic><topic>Magnetic fields</topic><topic>Magnetism</topic><topic>Microchannel; Electro-osmotic flow; Electro magneto hydro dynamic; Transverse electrical field; Critical hartmann number</topic><topic>Microchannels</topic><topic>Pressure</topic><topic>Two dimensional flow</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Moradmand, A.</creatorcontrib><creatorcontrib>Saghafian, M.</creatorcontrib><creatorcontrib>Moghimi Mofrad, B.</creatorcontrib><creatorcontrib>Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, Iran</creatorcontrib><collection>CrossRef</collection><collection>Aqualine</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Water Resources Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Environmental Sciences and Pollution Management</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Access via ProQuest (Open Access)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>DOAJ Directory of Open Access Journals</collection><jtitle>Journal of Applied Fluid Mechanics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Moradmand, A.</au><au>Saghafian, M.</au><au>Moghimi Mofrad, B.</au><aucorp>Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, Iran</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Electroosmotic Pressure-Driven Flow through a Slit Micro-Channel with Electric and Magnetic Transverse Field</atitle><jtitle>Journal of Applied Fluid Mechanics</jtitle><date>2019-05-01</date><risdate>2019</risdate><volume>12</volume><issue>3</issue><spage>961</spage><epage>969</epage><pages>961-969</pages><issn>1735-3572</issn><eissn>1735-3645</eissn><abstract>In the present study, flow through two-dimensional microchannel under an axial electric field, transverse electric and magnetic fields and with axial pressure gradient has been investigated numerically. Continuity and momentum equations were solved steadily with respect to the non-slip condition by using discrete finite volume method and a numerical code. The results show that in the presence of the axial electric field, applying transverse magnetic field reduces flow velocity. However, when the transverse electric field and axial electric field exist together, applying the transverse magnetic field increases the flow rate to a certain extent and then reduces the flow rate. Hartmann number like this amount of magnetic field is known as critical Hartmann number. Therefore, with the presence of transverse and axial electric fields and transverse magnetic field, the highest possible flow rate is for critical Hartmann number. It was also found that by increasing the pressure gradient within the microchannel, the critical Hartmann number decreases. Moreover, by increasing the transverse electric field, the sensitivity of critical Hartmann number to the pressure gradient decreases and its value tends to a specific number (about 1.5).</abstract><cop>Isfahan</cop><pub>Isfahan University of Technology</pub><doi>10.29252/jafm.12.03.28816</doi><tpages>9</tpages><oa>free_for_read</oa></addata></record> |
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| subjects | Continuity (mathematics) Electric fields Finite volume method Flow rates Flow velocity Hartmann number Magnetic fields Magnetism Microchannel Electro-osmotic flow Electro magneto hydro dynamic Transverse electrical field Critical hartmann number Microchannels Pressure Two dimensional flow |
| title | Electroosmotic Pressure-Driven Flow through a Slit Micro-Channel with Electric and Magnetic Transverse Field |
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