Bidirectional flow of MHD nanofluid with Hall current and Cattaneo-Christove heat flux toward the stretching surface
Vacuum pump oil (VPO) is used as a lubricant in pumps of different machines. The rate of heat transport is a fundamental requirement of all phenomena. To enhance the rate of heat transmission and reduce the amount of energy consumed as a result of high temperatures. For this reason, the vacuum pump...
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description | Vacuum pump oil (VPO) is used as a lubricant in pumps of different machines. The rate of heat transport is a fundamental requirement of all phenomena. To enhance the rate of heat transmission and reduce the amount of energy consumed as a result of high temperatures. For this reason, the vacuum pump oil (VPO) is taken as a base fluid and Fe3O4 is the nanoparticles suspended in VPO. That's why, the present study inspected the consequence of Hall current, Joule heating effect and variable thickness on these three-dimensional magnetohydrodynamics bidirectional flow of nanoliquid past on a stretchable sheet. Further, the Cattaneo-Christove heat flux and radiation impacts are also considered. The VPO-Fe3O4 nanofluid model is composed of momentum equations in x-direction, y-direction and temperature equations. The leading higher-order non-linear PDEs of the current study have been changed into non-linear ODEs with the implementation of appropriate similarity transformations. The procedure of the homotopy analysis method is hired on the resulting higher-order non-linear ODEs along with boundary conditions for the analytical solution. The significance of distinct flow parameters on the velocities in x-direction, y-direction and temperature profiles of the nanofluid have been encountered and briefly explained in a graphical form. Some important findings of the present modelling are that with the increment of nanoparticles volume fraction the nanofluid velocities in x-direction and y-direction are increased. It is also detected that higher estimations of magnetic field parameter, Prandtl number and thermal relaxation time parameter declined the nanofluid temperature. During this examination of the model, it is found that the Fe3O4-Vacuum pump oil (VPO) nanofluid enhanced the rate of heat transfer. Also, the vacuum pump oil (VPO) has many industrial and engineering applications. The current study will help to improve the rate of heat transmission by taking this into account due to which working machines will do better performance and the loss of useful energy will be decayed. Lastly, the skin friction coefficient and Nusselt number are also illustrated in a tabular form. Some major findings according to the numerical computation of the problem are that the enhancing estimations of magnetic parameter, nanoparticles volume fraction and wall thickness parameter augmented the skin friction coefficient in x-direction and Nusselt number. The reduction in skin friction coeff |
doi_str_mv | 10.1371/journal.pone.0264208 |
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The rate of heat transport is a fundamental requirement of all phenomena. To enhance the rate of heat transmission and reduce the amount of energy consumed as a result of high temperatures. For this reason, the vacuum pump oil (VPO) is taken as a base fluid and Fe3O4 is the nanoparticles suspended in VPO. That's why, the present study inspected the consequence of Hall current, Joule heating effect and variable thickness on these three-dimensional magnetohydrodynamics bidirectional flow of nanoliquid past on a stretchable sheet. Further, the Cattaneo-Christove heat flux and radiation impacts are also considered. The VPO-Fe3O4 nanofluid model is composed of momentum equations in x-direction, y-direction and temperature equations. The leading higher-order non-linear PDEs of the current study have been changed into non-linear ODEs with the implementation of appropriate similarity transformations. The procedure of the homotopy analysis method is hired on the resulting higher-order non-linear ODEs along with boundary conditions for the analytical solution. The significance of distinct flow parameters on the velocities in x-direction, y-direction and temperature profiles of the nanofluid have been encountered and briefly explained in a graphical form. Some important findings of the present modelling are that with the increment of nanoparticles volume fraction the nanofluid velocities in x-direction and y-direction are increased. It is also detected that higher estimations of magnetic field parameter, Prandtl number and thermal relaxation time parameter declined the nanofluid temperature. During this examination of the model, it is found that the Fe3O4-Vacuum pump oil (VPO) nanofluid enhanced the rate of heat transfer. Also, the vacuum pump oil (VPO) has many industrial and engineering applications. The current study will help to improve the rate of heat transmission by taking this into account due to which working machines will do better performance and the loss of useful energy will be decayed. Lastly, the skin friction coefficient and Nusselt number are also illustrated in a tabular form. Some major findings according to the numerical computation of the problem are that the enhancing estimations of magnetic parameter, nanoparticles volume fraction and wall thickness parameter augmented the skin friction coefficient in x-direction and Nusselt number. The reduction in skin friction coefficient of the nanofluid in y-direction is examined for Hall current and shape parameter.</description><identifier>ISSN: 1932-6203</identifier><identifier>EISSN: 1932-6203</identifier><identifier>DOI: 10.1371/journal.pone.0264208</identifier><identifier>PMID: 35421096</identifier><language>eng</language><publisher>United States: Public Library of Science</publisher><subject>Analysis ; Applied mathematics ; Auroral kilometric radiation ; Biology and Life Sciences ; Boundary conditions ; Coefficient of friction ; Engineering and Technology ; Exact solutions ; Fluid dynamics ; Fluid flow ; Friction ; Friction reduction ; Heat exchangers ; Heat flux ; Heat transfer ; Heat transmission ; Heat transport ; High temperature ; Homotopy theory ; Hot Temperature ; Iron oxides ; Joule heating ; Laboratories ; Lubricants ; Magnetic fields ; Magnetic properties ; Magnetics ; Magnetohydrodynamics ; Mathematical models ; Nanofluids ; Nanoparticles ; Non-Newtonian fluids ; Numerical analysis ; Nusselt number ; Oil ; Oil recovery ; Physical Phenomena ; Physical Sciences ; Prandtl number ; Radiation ; Relaxation time ; Resistance heating ; Skin ; Skin friction ; Temperature ; Temperature profiles ; Three dimensional flow ; Vacuum ; Vacuum pumps ; Velocity</subject><ispartof>PloS one, 2022-04, Vol.17 (4), p.e0264208-e0264208</ispartof><rights>COPYRIGHT 2022 Public Library of Science</rights><rights>2022 Ramzan et al. This is an open access article distributed under the terms of the Creative Commons Attribution License: http://creativecommons.org/licenses/by/4.0/ (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>2022 Ramzan et al 2022 Ramzan et al</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c6078-f7cb0e9e0aa36b51bf0ab32873ee5baa500e56922a7ba8f54410e2b4a1b7dc183</citedby><cites>FETCH-LOGICAL-c6078-f7cb0e9e0aa36b51bf0ab32873ee5baa500e56922a7ba8f54410e2b4a1b7dc183</cites><orcidid>0000-0002-5463-4581</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC9009632/pdf/$$EPDF$$P50$$Gpubmedcentral$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC9009632/$$EHTML$$P50$$Gpubmedcentral$$Hfree_for_read</linktohtml><link.rule.ids>230,314,727,780,784,864,885,2102,2928,23866,27924,27925,53791,53793</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/35421096$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><contributor>Sandeep, Naramgari</contributor><creatorcontrib>Ramzan, Muhammad</creatorcontrib><creatorcontrib>Shah, Zahir</creatorcontrib><creatorcontrib>Kumam, Poom</creatorcontrib><creatorcontrib>Khan, Waris</creatorcontrib><creatorcontrib>Watthayu, Wiboonsak</creatorcontrib><creatorcontrib>Kumam, Wiyada</creatorcontrib><title>Bidirectional flow of MHD nanofluid with Hall current and Cattaneo-Christove heat flux toward the stretching surface</title><title>PloS one</title><addtitle>PLoS One</addtitle><description>Vacuum pump oil (VPO) is used as a lubricant in pumps of different machines. The rate of heat transport is a fundamental requirement of all phenomena. To enhance the rate of heat transmission and reduce the amount of energy consumed as a result of high temperatures. For this reason, the vacuum pump oil (VPO) is taken as a base fluid and Fe3O4 is the nanoparticles suspended in VPO. That's why, the present study inspected the consequence of Hall current, Joule heating effect and variable thickness on these three-dimensional magnetohydrodynamics bidirectional flow of nanoliquid past on a stretchable sheet. Further, the Cattaneo-Christove heat flux and radiation impacts are also considered. The VPO-Fe3O4 nanofluid model is composed of momentum equations in x-direction, y-direction and temperature equations. The leading higher-order non-linear PDEs of the current study have been changed into non-linear ODEs with the implementation of appropriate similarity transformations. The procedure of the homotopy analysis method is hired on the resulting higher-order non-linear ODEs along with boundary conditions for the analytical solution. The significance of distinct flow parameters on the velocities in x-direction, y-direction and temperature profiles of the nanofluid have been encountered and briefly explained in a graphical form. Some important findings of the present modelling are that with the increment of nanoparticles volume fraction the nanofluid velocities in x-direction and y-direction are increased. It is also detected that higher estimations of magnetic field parameter, Prandtl number and thermal relaxation time parameter declined the nanofluid temperature. During this examination of the model, it is found that the Fe3O4-Vacuum pump oil (VPO) nanofluid enhanced the rate of heat transfer. Also, the vacuum pump oil (VPO) has many industrial and engineering applications. The current study will help to improve the rate of heat transmission by taking this into account due to which working machines will do better performance and the loss of useful energy will be decayed. Lastly, the skin friction coefficient and Nusselt number are also illustrated in a tabular form. Some major findings according to the numerical computation of the problem are that the enhancing estimations of magnetic parameter, nanoparticles volume fraction and wall thickness parameter augmented the skin friction coefficient in x-direction and Nusselt number. The reduction in skin friction coefficient of the nanofluid in y-direction is examined for Hall current and shape parameter.</description><subject>Analysis</subject><subject>Applied mathematics</subject><subject>Auroral kilometric radiation</subject><subject>Biology and Life Sciences</subject><subject>Boundary conditions</subject><subject>Coefficient of friction</subject><subject>Engineering and Technology</subject><subject>Exact solutions</subject><subject>Fluid dynamics</subject><subject>Fluid flow</subject><subject>Friction</subject><subject>Friction reduction</subject><subject>Heat exchangers</subject><subject>Heat flux</subject><subject>Heat transfer</subject><subject>Heat transmission</subject><subject>Heat transport</subject><subject>High temperature</subject><subject>Homotopy theory</subject><subject>Hot Temperature</subject><subject>Iron oxides</subject><subject>Joule heating</subject><subject>Laboratories</subject><subject>Lubricants</subject><subject>Magnetic fields</subject><subject>Magnetic properties</subject><subject>Magnetics</subject><subject>Magnetohydrodynamics</subject><subject>Mathematical models</subject><subject>Nanofluids</subject><subject>Nanoparticles</subject><subject>Non-Newtonian fluids</subject><subject>Numerical analysis</subject><subject>Nusselt number</subject><subject>Oil</subject><subject>Oil recovery</subject><subject>Physical Phenomena</subject><subject>Physical Sciences</subject><subject>Prandtl number</subject><subject>Radiation</subject><subject>Relaxation time</subject><subject>Resistance heating</subject><subject>Skin</subject><subject>Skin friction</subject><subject>Temperature</subject><subject>Temperature profiles</subject><subject>Three dimensional flow</subject><subject>Vacuum</subject><subject>Vacuum 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flow of MHD nanofluid with Hall current and Cattaneo-Christove heat flux toward the stretching surface</title><author>Ramzan, Muhammad ; Shah, Zahir ; Kumam, Poom ; Khan, Waris ; Watthayu, Wiboonsak ; Kumam, Wiyada</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c6078-f7cb0e9e0aa36b51bf0ab32873ee5baa500e56922a7ba8f54410e2b4a1b7dc183</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Analysis</topic><topic>Applied mathematics</topic><topic>Auroral kilometric radiation</topic><topic>Biology and Life Sciences</topic><topic>Boundary conditions</topic><topic>Coefficient of friction</topic><topic>Engineering and Technology</topic><topic>Exact solutions</topic><topic>Fluid dynamics</topic><topic>Fluid flow</topic><topic>Friction</topic><topic>Friction reduction</topic><topic>Heat exchangers</topic><topic>Heat flux</topic><topic>Heat transfer</topic><topic>Heat 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one</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ramzan, Muhammad</au><au>Shah, Zahir</au><au>Kumam, Poom</au><au>Khan, Waris</au><au>Watthayu, Wiboonsak</au><au>Kumam, Wiyada</au><au>Sandeep, Naramgari</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Bidirectional flow of MHD nanofluid with Hall current and Cattaneo-Christove heat flux toward the stretching surface</atitle><jtitle>PloS one</jtitle><addtitle>PLoS One</addtitle><date>2022-04-14</date><risdate>2022</risdate><volume>17</volume><issue>4</issue><spage>e0264208</spage><epage>e0264208</epage><pages>e0264208-e0264208</pages><issn>1932-6203</issn><eissn>1932-6203</eissn><abstract>Vacuum pump oil (VPO) is used as a lubricant in pumps of different machines. The rate of heat transport is a fundamental requirement of all phenomena. To enhance the rate of heat transmission and reduce the amount of energy consumed as a result of high temperatures. For this reason, the vacuum pump oil (VPO) is taken as a base fluid and Fe3O4 is the nanoparticles suspended in VPO. That's why, the present study inspected the consequence of Hall current, Joule heating effect and variable thickness on these three-dimensional magnetohydrodynamics bidirectional flow of nanoliquid past on a stretchable sheet. Further, the Cattaneo-Christove heat flux and radiation impacts are also considered. The VPO-Fe3O4 nanofluid model is composed of momentum equations in x-direction, y-direction and temperature equations. The leading higher-order non-linear PDEs of the current study have been changed into non-linear ODEs with the implementation of appropriate similarity transformations. The procedure of the homotopy analysis method is hired on the resulting higher-order non-linear ODEs along with boundary conditions for the analytical solution. The significance of distinct flow parameters on the velocities in x-direction, y-direction and temperature profiles of the nanofluid have been encountered and briefly explained in a graphical form. Some important findings of the present modelling are that with the increment of nanoparticles volume fraction the nanofluid velocities in x-direction and y-direction are increased. It is also detected that higher estimations of magnetic field parameter, Prandtl number and thermal relaxation time parameter declined the nanofluid temperature. During this examination of the model, it is found that the Fe3O4-Vacuum pump oil (VPO) nanofluid enhanced the rate of heat transfer. Also, the vacuum pump oil (VPO) has many industrial and engineering applications. The current study will help to improve the rate of heat transmission by taking this into account due to which working machines will do better performance and the loss of useful energy will be decayed. Lastly, the skin friction coefficient and Nusselt number are also illustrated in a tabular form. Some major findings according to the numerical computation of the problem are that the enhancing estimations of magnetic parameter, nanoparticles volume fraction and wall thickness parameter augmented the skin friction coefficient in x-direction and Nusselt number. The reduction in skin friction coefficient of the nanofluid in y-direction is examined for Hall current and shape parameter.</abstract><cop>United States</cop><pub>Public Library of Science</pub><pmid>35421096</pmid><doi>10.1371/journal.pone.0264208</doi><tpages>e0264208</tpages><orcidid>https://orcid.org/0000-0002-5463-4581</orcidid><oa>free_for_read</oa></addata></record> |
fulltext | fulltext |
identifier | ISSN: 1932-6203 |
ispartof | PloS one, 2022-04, Vol.17 (4), p.e0264208-e0264208 |
issn | 1932-6203 1932-6203 |
language | eng |
recordid | cdi_plos_journals_2650244846 |
source | MEDLINE; DOAJ Directory of Open Access Journals; Public Library of Science (PLoS) Journals Open Access; EZB-FREE-00999 freely available EZB journals; PubMed Central; Free Full-Text Journals in Chemistry |
subjects | Analysis Applied mathematics Auroral kilometric radiation Biology and Life Sciences Boundary conditions Coefficient of friction Engineering and Technology Exact solutions Fluid dynamics Fluid flow Friction Friction reduction Heat exchangers Heat flux Heat transfer Heat transmission Heat transport High temperature Homotopy theory Hot Temperature Iron oxides Joule heating Laboratories Lubricants Magnetic fields Magnetic properties Magnetics Magnetohydrodynamics Mathematical models Nanofluids Nanoparticles Non-Newtonian fluids Numerical analysis Nusselt number Oil Oil recovery Physical Phenomena Physical Sciences Prandtl number Radiation Relaxation time Resistance heating Skin Skin friction Temperature Temperature profiles Three dimensional flow Vacuum Vacuum pumps Velocity |
title | Bidirectional flow of MHD nanofluid with Hall current and Cattaneo-Christove heat flux toward the stretching surface |
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