A Numerical Approach for an Unsteady Tangent Hyperbolic Nanofluid Flow past a Wedge in the Presence of Suction/Injection
The analysis of unsteady tangent hyperbolic nanofluid flow past a wedge with injection-suction, because of its beneficial uses, has gained a lot of attention. The present study is mainly concerned with tangent hyperbolic nanofluid (non-Newtonian nanofluid). First, we have converted the system of par...
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| Veröffentlicht in: | Mathematical problems in engineering 2021-10, Vol.2021, p.1-15 |
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| creator | Shahzad, U. Mushtaq, M. Farid, S. Jabeen, K. Muntazir, R.M.A. |
| description | The analysis of unsteady tangent hyperbolic nanofluid flow past a wedge with injection-suction, because of its beneficial uses, has gained a lot of attention. The present study is mainly concerned with tangent hyperbolic nanofluid (non-Newtonian nanofluid). First, we have converted the system of partial differential equations (PDEs) to a system of ordinary differential equations (ODEs) with the help of appropriate similarity transformations. Boundary conditions are also transformed by utilizing suitable similarity transformation. Now, for the obtained ODEs, we have used the numerical technique bvp4c and investigated the velocity, temperature, and concentration profiles. The accuracy of the flow model is validated by applying MAPLE d-solve command having good agreement while comparing the numerical results obtained by bvp4c for both suction and injection cases. The effects of distinct dimensionless parameters on the various profiles are being analyzed. The novel features such as thermophoresis and Brownian motion are also discussed to investigate the characteristics of heat and mass transfer. Graphical representation of the impact of varying parameters and the solution method for the abovementioned model is thoroughly discussed. It was observed that suction or injection can play a key role in controlling boundary layer flow and brings stability in the flow. It was also noticed that by increasing the Darcy number, velocity profile increases in both injection-suction cases. |
| doi_str_mv | 10.1155/2021/8653091 |
| format | Article |
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The present study is mainly concerned with tangent hyperbolic nanofluid (non-Newtonian nanofluid). First, we have converted the system of partial differential equations (PDEs) to a system of ordinary differential equations (ODEs) with the help of appropriate similarity transformations. Boundary conditions are also transformed by utilizing suitable similarity transformation. Now, for the obtained ODEs, we have used the numerical technique bvp4c and investigated the velocity, temperature, and concentration profiles. The accuracy of the flow model is validated by applying MAPLE d-solve command having good agreement while comparing the numerical results obtained by bvp4c for both suction and injection cases. The effects of distinct dimensionless parameters on the various profiles are being analyzed. The novel features such as thermophoresis and Brownian motion are also discussed to investigate the characteristics of heat and mass transfer. Graphical representation of the impact of varying parameters and the solution method for the abovementioned model is thoroughly discussed. It was observed that suction or injection can play a key role in controlling boundary layer flow and brings stability in the flow. It was also noticed that by increasing the Darcy number, velocity profile increases in both injection-suction cases.</description><identifier>ISSN: 1024-123X</identifier><identifier>EISSN: 1563-5147</identifier><identifier>DOI: 10.1155/2021/8653091</identifier><language>eng</language><publisher>New York: Hindawi</publisher><subject>Approximation ; Behavior ; Boundary conditions ; Boundary layer flow ; Boundary layer stability ; Brownian motion ; Control stability ; Darcy number ; Flow stability ; Fluid flow ; Graphical representations ; Heat conductivity ; Heat transfer ; Manufacturing ; Mass transfer ; Mathematical models ; Methods ; Nanofluids ; Nanoparticles ; Non-Newtonian fluids ; Numerical analysis ; Parameters ; Partial differential equations ; Similarity ; Suction ; Thermophoresis ; Velocity ; Velocity distribution ; Viscosity ; Wedges</subject><ispartof>Mathematical problems in engineering, 2021-10, Vol.2021, p.1-15</ispartof><rights>Copyright © 2021 U. Shahzad et al.</rights><rights>Copyright © 2021 U. Shahzad et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c337t-bf2449cc46bbd357f971e4226ffee98e6bc11b0f22480dd04ba3200633abc96d3</citedby><cites>FETCH-LOGICAL-c337t-bf2449cc46bbd357f971e4226ffee98e6bc11b0f22480dd04ba3200633abc96d3</cites><orcidid>0000-0002-7546-1034</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><contributor>Muhammad, Taseer</contributor><contributor>Taseer Muhammad</contributor><creatorcontrib>Shahzad, U.</creatorcontrib><creatorcontrib>Mushtaq, M.</creatorcontrib><creatorcontrib>Farid, S.</creatorcontrib><creatorcontrib>Jabeen, K.</creatorcontrib><creatorcontrib>Muntazir, R.M.A.</creatorcontrib><title>A Numerical Approach for an Unsteady Tangent Hyperbolic Nanofluid Flow past a Wedge in the Presence of Suction/Injection</title><title>Mathematical problems in engineering</title><description>The analysis of unsteady tangent hyperbolic nanofluid flow past a wedge with injection-suction, because of its beneficial uses, has gained a lot of attention. 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Graphical representation of the impact of varying parameters and the solution method for the abovementioned model is thoroughly discussed. It was observed that suction or injection can play a key role in controlling boundary layer flow and brings stability in the flow. 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Mushtaq, M. ; Farid, S. ; Jabeen, K. ; Muntazir, R.M.A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c337t-bf2449cc46bbd357f971e4226ffee98e6bc11b0f22480dd04ba3200633abc96d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Approximation</topic><topic>Behavior</topic><topic>Boundary conditions</topic><topic>Boundary layer flow</topic><topic>Boundary layer stability</topic><topic>Brownian motion</topic><topic>Control stability</topic><topic>Darcy number</topic><topic>Flow stability</topic><topic>Fluid flow</topic><topic>Graphical representations</topic><topic>Heat conductivity</topic><topic>Heat transfer</topic><topic>Manufacturing</topic><topic>Mass transfer</topic><topic>Mathematical models</topic><topic>Methods</topic><topic>Nanofluids</topic><topic>Nanoparticles</topic><topic>Non-Newtonian fluids</topic><topic>Numerical analysis</topic><topic>Parameters</topic><topic>Partial differential equations</topic><topic>Similarity</topic><topic>Suction</topic><topic>Thermophoresis</topic><topic>Velocity</topic><topic>Velocity distribution</topic><topic>Viscosity</topic><topic>Wedges</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Shahzad, U.</creatorcontrib><creatorcontrib>Mushtaq, M.</creatorcontrib><creatorcontrib>Farid, S.</creatorcontrib><creatorcontrib>Jabeen, K.</creatorcontrib><creatorcontrib>Muntazir, R.M.A.</creatorcontrib><collection>Hindawi Publishing Complete</collection><collection>Hindawi Publishing Subscription Journals</collection><collection>Hindawi Publishing Open Access Journals</collection><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>Middle East & Africa Database</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>Civil Engineering Abstracts</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Publicly Available Content Database</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>Engineering Collection</collection><jtitle>Mathematical problems in engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Shahzad, U.</au><au>Mushtaq, M.</au><au>Farid, S.</au><au>Jabeen, K.</au><au>Muntazir, R.M.A.</au><au>Muhammad, Taseer</au><au>Taseer Muhammad</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A Numerical Approach for an Unsteady Tangent Hyperbolic Nanofluid Flow past a Wedge in the Presence of Suction/Injection</atitle><jtitle>Mathematical problems in engineering</jtitle><date>2021-10-15</date><risdate>2021</risdate><volume>2021</volume><spage>1</spage><epage>15</epage><pages>1-15</pages><issn>1024-123X</issn><eissn>1563-5147</eissn><abstract>The analysis of unsteady tangent hyperbolic nanofluid flow past a wedge with injection-suction, because of its beneficial uses, has gained a lot of attention. The present study is mainly concerned with tangent hyperbolic nanofluid (non-Newtonian nanofluid). First, we have converted the system of partial differential equations (PDEs) to a system of ordinary differential equations (ODEs) with the help of appropriate similarity transformations. Boundary conditions are also transformed by utilizing suitable similarity transformation. Now, for the obtained ODEs, we have used the numerical technique bvp4c and investigated the velocity, temperature, and concentration profiles. The accuracy of the flow model is validated by applying MAPLE d-solve command having good agreement while comparing the numerical results obtained by bvp4c for both suction and injection cases. The effects of distinct dimensionless parameters on the various profiles are being analyzed. The novel features such as thermophoresis and Brownian motion are also discussed to investigate the characteristics of heat and mass transfer. Graphical representation of the impact of varying parameters and the solution method for the abovementioned model is thoroughly discussed. It was observed that suction or injection can play a key role in controlling boundary layer flow and brings stability in the flow. It was also noticed that by increasing the Darcy number, velocity profile increases in both injection-suction cases.</abstract><cop>New York</cop><pub>Hindawi</pub><doi>10.1155/2021/8653091</doi><tpages>15</tpages><orcidid>https://orcid.org/0000-0002-7546-1034</orcidid><oa>free_for_read</oa></addata></record> |
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| subjects | Approximation Behavior Boundary conditions Boundary layer flow Boundary layer stability Brownian motion Control stability Darcy number Flow stability Fluid flow Graphical representations Heat conductivity Heat transfer Manufacturing Mass transfer Mathematical models Methods Nanofluids Nanoparticles Non-Newtonian fluids Numerical analysis Parameters Partial differential equations Similarity Suction Thermophoresis Velocity Velocity distribution Viscosity Wedges |
| title | A Numerical Approach for an Unsteady Tangent Hyperbolic Nanofluid Flow past a Wedge in the Presence of Suction/Injection |
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