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Impact of nonlinear radiative nanoparticles on an unsteady flow of a Williamson fluid toward a permeable convectively heated shrinking sheet
Purpose The study aims to numerically examine the impact of nanoparticles on an unsteady flow of a Williamson fluid past a permeable convectively heated shrinking sheet. Design/methodology/approach In sort of the solution of the governing differential equations, suitable transformation variables are...
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Published in: | World journal of engineering 2018-12, Vol.15 (6), p.731-742 |
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container_title | World journal of engineering |
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creator | Zaib, Aurang Haq, Rizwan Ul Chamkha, A.J Rashidi, M.M |
description | Purpose
The study aims to numerically examine the impact of nanoparticles on an unsteady flow of a Williamson fluid past a permeable convectively heated shrinking sheet.
Design/methodology/approach
In sort of the solution of the governing differential equations, suitable transformation variables are used to get the system of ODEs. The converted equations are then numerically solved via the shooting technique.
Findings
The impacts of such parameters on the velocity profile, temperature distribution and the concentration of nanoparticles are examined through graphs and tables. The results point out that multiple solutions are achieved for certain values of the suction parameter and for decelerating flow, while for accelerating flow, the solution is unique. Further, the non-Newtonian parameter reduces the fluid velocity and boosts the temperature distribution and concentration of nanoparticles in the first solution, while the reverse drift is noticed in the second solution.
Practical implications
The current results may be used in many applications such as biomedicine, industrial, electronics and solar energy.
Originality/value
The authors think that the current results are new and significant, which are used in many applications such as biomedicine, industrial, electronics and solar energy. The results have not been considered elsewhere. |
doi_str_mv | 10.1108/WJE-02-2018-0050 |
format | article |
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The study aims to numerically examine the impact of nanoparticles on an unsteady flow of a Williamson fluid past a permeable convectively heated shrinking sheet.
Design/methodology/approach
In sort of the solution of the governing differential equations, suitable transformation variables are used to get the system of ODEs. The converted equations are then numerically solved via the shooting technique.
Findings
The impacts of such parameters on the velocity profile, temperature distribution and the concentration of nanoparticles are examined through graphs and tables. The results point out that multiple solutions are achieved for certain values of the suction parameter and for decelerating flow, while for accelerating flow, the solution is unique. Further, the non-Newtonian parameter reduces the fluid velocity and boosts the temperature distribution and concentration of nanoparticles in the first solution, while the reverse drift is noticed in the second solution.
Practical implications
The current results may be used in many applications such as biomedicine, industrial, electronics and solar energy.
Originality/value
The authors think that the current results are new and significant, which are used in many applications such as biomedicine, industrial, electronics and solar energy. The results have not been considered elsewhere.</description><identifier>ISSN: 1708-5284</identifier><identifier>EISSN: 2515-8082</identifier><identifier>DOI: 10.1108/WJE-02-2018-0050</identifier><language>eng</language><publisher>Brentwood: Emerald Publishing Limited</publisher><subject>Chemical reactions ; Composite materials ; Deceleration ; Differential equations ; Electronics ; Fluids ; Friction ; Heat conductivity ; Heat transfer ; Investigations ; Nanoparticles ; Parameters ; Permeability ; Reynolds number ; Shear stress ; Solar energy ; Suction ; Temperature distribution ; Unsteady flow ; Velocity distribution ; Viscosity</subject><ispartof>World journal of engineering, 2018-12, Vol.15 (6), p.731-742</ispartof><rights>Emerald Publishing Limited</rights><rights>Emerald Publishing Limited 2018</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c311t-b40c8cc5f1625d66afd9959ef68da09a1ed2bbc0e48d922d66f059130bf7b5ac3</citedby><cites>FETCH-LOGICAL-c311t-b40c8cc5f1625d66afd9959ef68da09a1ed2bbc0e48d922d66f059130bf7b5ac3</cites></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><creatorcontrib>Zaib, Aurang</creatorcontrib><creatorcontrib>Haq, Rizwan Ul</creatorcontrib><creatorcontrib>Chamkha, A.J</creatorcontrib><creatorcontrib>Rashidi, M.M</creatorcontrib><title>Impact of nonlinear radiative nanoparticles on an unsteady flow of a Williamson fluid toward a permeable convectively heated shrinking sheet</title><title>World journal of engineering</title><description>Purpose
The study aims to numerically examine the impact of nanoparticles on an unsteady flow of a Williamson fluid past a permeable convectively heated shrinking sheet.
Design/methodology/approach
In sort of the solution of the governing differential equations, suitable transformation variables are used to get the system of ODEs. The converted equations are then numerically solved via the shooting technique.
Findings
The impacts of such parameters on the velocity profile, temperature distribution and the concentration of nanoparticles are examined through graphs and tables. The results point out that multiple solutions are achieved for certain values of the suction parameter and for decelerating flow, while for accelerating flow, the solution is unique. Further, the non-Newtonian parameter reduces the fluid velocity and boosts the temperature distribution and concentration of nanoparticles in the first solution, while the reverse drift is noticed in the second solution.
Practical implications
The current results may be used in many applications such as biomedicine, industrial, electronics and solar energy.
Originality/value
The authors think that the current results are new and significant, which are used in many applications such as biomedicine, industrial, electronics and solar energy. The results have not been considered elsewhere.</description><subject>Chemical reactions</subject><subject>Composite materials</subject><subject>Deceleration</subject><subject>Differential equations</subject><subject>Electronics</subject><subject>Fluids</subject><subject>Friction</subject><subject>Heat conductivity</subject><subject>Heat transfer</subject><subject>Investigations</subject><subject>Nanoparticles</subject><subject>Parameters</subject><subject>Permeability</subject><subject>Reynolds number</subject><subject>Shear stress</subject><subject>Solar energy</subject><subject>Suction</subject><subject>Temperature distribution</subject><subject>Unsteady flow</subject><subject>Velocity distribution</subject><subject>Viscosity</subject><issn>1708-5284</issn><issn>2515-8082</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNptkUFr3DAQhUVpoUuae46CnN2MZMtrH0tI25RALy05irE0SpTIkitpE_Y_9EfXZnspdC4zMO97A28YuxDwUQgYru6_3TQgGwliaAAUvGE7qYRqBhjkW7YTexgaJYfuPTsv5QnW6nop9u2O_b6dFzSVJ8djisFHwswzWo_VvxCPGNOCuXoTqPAUOUZ-iKUS2iN3Ib1uIPJ7H4LHuawCFw7e8ppeMdt1s1CeCadA3KT4QmZzDUf-SFjJ8vKYfXz28WGdiOoH9s5hKHT-t5-xn59vflx_be6-f7m9_nTXmFaI2kwdmMEY5UQvle17dHYc1UiuHyzCiIKsnCYD1A12lHJVOFCjaGFy-0mhac_Y5cl3yenXgUrVT-mQ43pSS6E62Mu-7VcVnFQmp1IyOb1kP2M-agF6i12vsWuQeotdb7GvyNUJoZkyBvs_4p9HtX8A0dWGfA</recordid><startdate>20181203</startdate><enddate>20181203</enddate><creator>Zaib, Aurang</creator><creator>Haq, Rizwan Ul</creator><creator>Chamkha, A.J</creator><creator>Rashidi, M.M</creator><general>Emerald Publishing Limited</general><general>Emerald Group Publishing Limited</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AFKRA</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20181203</creationdate><title>Impact of nonlinear radiative nanoparticles on an unsteady flow of a Williamson fluid toward a permeable convectively heated shrinking sheet</title><author>Zaib, Aurang ; Haq, Rizwan Ul ; Chamkha, A.J ; Rashidi, M.M</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c311t-b40c8cc5f1625d66afd9959ef68da09a1ed2bbc0e48d922d66f059130bf7b5ac3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Chemical reactions</topic><topic>Composite materials</topic><topic>Deceleration</topic><topic>Differential equations</topic><topic>Electronics</topic><topic>Fluids</topic><topic>Friction</topic><topic>Heat conductivity</topic><topic>Heat transfer</topic><topic>Investigations</topic><topic>Nanoparticles</topic><topic>Parameters</topic><topic>Permeability</topic><topic>Reynolds number</topic><topic>Shear stress</topic><topic>Solar energy</topic><topic>Suction</topic><topic>Temperature distribution</topic><topic>Unsteady flow</topic><topic>Velocity distribution</topic><topic>Viscosity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zaib, Aurang</creatorcontrib><creatorcontrib>Haq, Rizwan Ul</creatorcontrib><creatorcontrib>Chamkha, A.J</creatorcontrib><creatorcontrib>Rashidi, M.M</creatorcontrib><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central</collection><collection>AUTh Library subscriptions: ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>SciTech Premium Collection (Proquest) (PQ_SDU_P3)</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering 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>World journal of engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Zaib, Aurang</au><au>Haq, Rizwan Ul</au><au>Chamkha, A.J</au><au>Rashidi, M.M</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Impact of nonlinear radiative nanoparticles on an unsteady flow of a Williamson fluid toward a permeable convectively heated shrinking sheet</atitle><jtitle>World journal of engineering</jtitle><date>2018-12-03</date><risdate>2018</risdate><volume>15</volume><issue>6</issue><spage>731</spage><epage>742</epage><pages>731-742</pages><issn>1708-5284</issn><eissn>2515-8082</eissn><abstract>Purpose
The study aims to numerically examine the impact of nanoparticles on an unsteady flow of a Williamson fluid past a permeable convectively heated shrinking sheet.
Design/methodology/approach
In sort of the solution of the governing differential equations, suitable transformation variables are used to get the system of ODEs. The converted equations are then numerically solved via the shooting technique.
Findings
The impacts of such parameters on the velocity profile, temperature distribution and the concentration of nanoparticles are examined through graphs and tables. The results point out that multiple solutions are achieved for certain values of the suction parameter and for decelerating flow, while for accelerating flow, the solution is unique. Further, the non-Newtonian parameter reduces the fluid velocity and boosts the temperature distribution and concentration of nanoparticles in the first solution, while the reverse drift is noticed in the second solution.
Practical implications
The current results may be used in many applications such as biomedicine, industrial, electronics and solar energy.
Originality/value
The authors think that the current results are new and significant, which are used in many applications such as biomedicine, industrial, electronics and solar energy. The results have not been considered elsewhere.</abstract><cop>Brentwood</cop><pub>Emerald Publishing Limited</pub><doi>10.1108/WJE-02-2018-0050</doi><tpages>12</tpages></addata></record> |
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ispartof | World journal of engineering, 2018-12, Vol.15 (6), p.731-742 |
issn | 1708-5284 2515-8082 |
language | eng |
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source | Emerald:Jisc Collections:Emerald Subject Collections HE and FE 2024-2026:Emerald Premier (reading list) |
subjects | Chemical reactions Composite materials Deceleration Differential equations Electronics Fluids Friction Heat conductivity Heat transfer Investigations Nanoparticles Parameters Permeability Reynolds number Shear stress Solar energy Suction Temperature distribution Unsteady flow Velocity distribution Viscosity |
title | Impact of nonlinear radiative nanoparticles on an unsteady flow of a Williamson fluid toward a permeable convectively heated shrinking sheet |
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