Loading…
Physical Aspects of Homogeneous-Heterogeneous Reactions on MHD Williamson Fluid Flow across a Nonlinear Stretching Curved Surface Together with Convective Boundary Conditions
This article is concerned with the fluid mechanics of MHD steady 2D flow of Williamson fluid over a nonlinear stretching curved surface in conjunction with homogeneous-heterogeneous reactions with convective boundary conditions. An effective similarity transformation is considered that switches the...
Saved in:
Published in: | Mathematical problems in engineering 2021, Vol.2021, p.1-13 |
---|---|
Main Authors: | , , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
cited_by | cdi_FETCH-LOGICAL-c2521-784fbd3552106fdd2aea2656ee6a23fa18fccbd648881e84ffbedb426f51c5fc3 |
---|---|
cites | cdi_FETCH-LOGICAL-c2521-784fbd3552106fdd2aea2656ee6a23fa18fccbd648881e84ffbedb426f51c5fc3 |
container_end_page | 13 |
container_issue | |
container_start_page | 1 |
container_title | Mathematical problems in engineering |
container_volume | 2021 |
creator | Ahmed, Kamran Akbar, Tanvir Muhammad, Taseer |
description | This article is concerned with the fluid mechanics of MHD steady 2D flow of Williamson fluid over a nonlinear stretching curved surface in conjunction with homogeneous-heterogeneous reactions with convective boundary conditions. An effective similarity transformation is considered that switches the nonlinear partial differential equations riveted to ordinary differential equations. The governing nonlinear coupled differential equations are solved by using MATLAB bvp4c code. The physical features of nondimensional Williamson fluid parameter λ, power-law stretching index m, curvature parameter K, Schmidt number Sc, magnetic field parameter M, Prandtl number Pr, homogeneous reaction strength k1, heterogeneous reaction strength k2, and Biot number γ are presented through the graphs. The tabulated form of results is obtained for the skin friction coefficient. It is noted that both the homogeneous and heterogeneous reaction strengths reduced the concentration profile. |
doi_str_mv | 10.1155/2021/7016961 |
format | article |
fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2603591095</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2603591095</sourcerecordid><originalsourceid>FETCH-LOGICAL-c2521-784fbd3552106fdd2aea2656ee6a23fa18fccbd648881e84ffbedb426f51c5fc3</originalsourceid><addsrcrecordid>eNp9kclOwzAQhiMEEuuNB7DEEUJtJ3bTIwRKkcoiCoJb5NpjYpTaxU5a8VI8Iy4tVy6z6dNsf5IcE3xOCGM9iinp9THhA062kj3CeJYykve3Y4xpnhKave0m-yF84EgyUuwl34_1VzBSNOgizEG2ATmNRm7m3sGC60I6ghb8X4aeQMjWOBsxi-5GV-jVNI0RsxDTYdMZFa1bIiG9CwEJdO9sYywIjyath1bWxr6jsvMLUGjSeS0koOfYva3Bo6Vpa1Q6u4h7mAWgS9dZJfzXqqbM79jDZEeLJsDRxh8kL8Pr53KUjh9ubsuLcSopoyTtF7meqozFGHOtFBUgKGccgAuaaUEKLeVU8bwoCgIR1lNQ05xyzYhkWmYHycm679y7zw5CW324zts4sqIcZ2xA8IBF6mxN_Z7rQVdzb2Zx44rgaqVItVKk2igS8dM1Hr-gxNL8T_8ASJiPHw</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2603591095</pqid></control><display><type>article</type><title>Physical Aspects of Homogeneous-Heterogeneous Reactions on MHD Williamson Fluid Flow across a Nonlinear Stretching Curved Surface Together with Convective Boundary Conditions</title><source>Wiley Online Library Open Access</source><source>Publicly Available Content (ProQuest)</source><creator>Ahmed, Kamran ; Akbar, Tanvir ; Muhammad, Taseer</creator><contributor>Rasheed, Amer ; Amer Rasheed</contributor><creatorcontrib>Ahmed, Kamran ; Akbar, Tanvir ; Muhammad, Taseer ; Rasheed, Amer ; Amer Rasheed</creatorcontrib><description>This article is concerned with the fluid mechanics of MHD steady 2D flow of Williamson fluid over a nonlinear stretching curved surface in conjunction with homogeneous-heterogeneous reactions with convective boundary conditions. An effective similarity transformation is considered that switches the nonlinear partial differential equations riveted to ordinary differential equations. The governing nonlinear coupled differential equations are solved by using MATLAB bvp4c code. The physical features of nondimensional Williamson fluid parameter λ, power-law stretching index m, curvature parameter K, Schmidt number Sc, magnetic field parameter M, Prandtl number Pr, homogeneous reaction strength k1, heterogeneous reaction strength k2, and Biot number γ are presented through the graphs. The tabulated form of results is obtained for the skin friction coefficient. It is noted that both the homogeneous and heterogeneous reaction strengths reduced the concentration profile.</description><identifier>ISSN: 1024-123X</identifier><identifier>EISSN: 1563-5147</identifier><identifier>DOI: 10.1155/2021/7016961</identifier><language>eng</language><publisher>New York: Hindawi</publisher><subject>Biot number ; Boundary conditions ; Coefficient of friction ; Continuous casting ; Fluid dynamics ; Fluid flow ; Fluid mechanics ; Friction ; Heat transfer ; Magnetic fields ; Magnetohydrodynamics ; Mathematical analysis ; Mathematical problems ; Non-Newtonian fluids ; Nonlinear differential equations ; Ordinary differential equations ; Parameters ; Partial differential equations ; Prandtl number ; Schmidt number ; Shear stress ; Skin ; Skin friction ; Stretching ; Switches ; Two dimensional flow ; Velocity</subject><ispartof>Mathematical problems in engineering, 2021, Vol.2021, p.1-13</ispartof><rights>Copyright © 2021 Kamran Ahmed et al.</rights><rights>Copyright © 2021 Kamran Ahmed 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-c2521-784fbd3552106fdd2aea2656ee6a23fa18fccbd648881e84ffbedb426f51c5fc3</citedby><cites>FETCH-LOGICAL-c2521-784fbd3552106fdd2aea2656ee6a23fa18fccbd648881e84ffbedb426f51c5fc3</cites><orcidid>0000-0002-0838-2731</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.proquest.com/docview/2603591095/fulltextPDF?pq-origsite=primo$$EPDF$$P50$$Gproquest$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/2603591095?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>314,780,784,4024,25753,27923,27924,27925,37012,44590,75126</link.rule.ids></links><search><contributor>Rasheed, Amer</contributor><contributor>Amer Rasheed</contributor><creatorcontrib>Ahmed, Kamran</creatorcontrib><creatorcontrib>Akbar, Tanvir</creatorcontrib><creatorcontrib>Muhammad, Taseer</creatorcontrib><title>Physical Aspects of Homogeneous-Heterogeneous Reactions on MHD Williamson Fluid Flow across a Nonlinear Stretching Curved Surface Together with Convective Boundary Conditions</title><title>Mathematical problems in engineering</title><description>This article is concerned with the fluid mechanics of MHD steady 2D flow of Williamson fluid over a nonlinear stretching curved surface in conjunction with homogeneous-heterogeneous reactions with convective boundary conditions. An effective similarity transformation is considered that switches the nonlinear partial differential equations riveted to ordinary differential equations. The governing nonlinear coupled differential equations are solved by using MATLAB bvp4c code. The physical features of nondimensional Williamson fluid parameter λ, power-law stretching index m, curvature parameter K, Schmidt number Sc, magnetic field parameter M, Prandtl number Pr, homogeneous reaction strength k1, heterogeneous reaction strength k2, and Biot number γ are presented through the graphs. The tabulated form of results is obtained for the skin friction coefficient. It is noted that both the homogeneous and heterogeneous reaction strengths reduced the concentration profile.</description><subject>Biot number</subject><subject>Boundary conditions</subject><subject>Coefficient of friction</subject><subject>Continuous casting</subject><subject>Fluid dynamics</subject><subject>Fluid flow</subject><subject>Fluid mechanics</subject><subject>Friction</subject><subject>Heat transfer</subject><subject>Magnetic fields</subject><subject>Magnetohydrodynamics</subject><subject>Mathematical analysis</subject><subject>Mathematical problems</subject><subject>Non-Newtonian fluids</subject><subject>Nonlinear differential equations</subject><subject>Ordinary differential equations</subject><subject>Parameters</subject><subject>Partial differential equations</subject><subject>Prandtl number</subject><subject>Schmidt number</subject><subject>Shear stress</subject><subject>Skin</subject><subject>Skin friction</subject><subject>Stretching</subject><subject>Switches</subject><subject>Two dimensional flow</subject><subject>Velocity</subject><issn>1024-123X</issn><issn>1563-5147</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><recordid>eNp9kclOwzAQhiMEEuuNB7DEEUJtJ3bTIwRKkcoiCoJb5NpjYpTaxU5a8VI8Iy4tVy6z6dNsf5IcE3xOCGM9iinp9THhA062kj3CeJYykve3Y4xpnhKave0m-yF84EgyUuwl34_1VzBSNOgizEG2ATmNRm7m3sGC60I6ghb8X4aeQMjWOBsxi-5GV-jVNI0RsxDTYdMZFa1bIiG9CwEJdO9sYywIjyath1bWxr6jsvMLUGjSeS0koOfYva3Bo6Vpa1Q6u4h7mAWgS9dZJfzXqqbM79jDZEeLJsDRxh8kL8Pr53KUjh9ubsuLcSopoyTtF7meqozFGHOtFBUgKGccgAuaaUEKLeVU8bwoCgIR1lNQ05xyzYhkWmYHycm679y7zw5CW324zts4sqIcZ2xA8IBF6mxN_Z7rQVdzb2Zx44rgaqVItVKk2igS8dM1Hr-gxNL8T_8ASJiPHw</recordid><startdate>2021</startdate><enddate>2021</enddate><creator>Ahmed, Kamran</creator><creator>Akbar, Tanvir</creator><creator>Muhammad, Taseer</creator><general>Hindawi</general><general>Hindawi Limited</general><scope>RHU</scope><scope>RHW</scope><scope>RHX</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>CWDGH</scope><scope>DWQXO</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>KR7</scope><scope>L6V</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><orcidid>https://orcid.org/0000-0002-0838-2731</orcidid></search><sort><creationdate>2021</creationdate><title>Physical Aspects of Homogeneous-Heterogeneous Reactions on MHD Williamson Fluid Flow across a Nonlinear Stretching Curved Surface Together with Convective Boundary Conditions</title><author>Ahmed, Kamran ; Akbar, Tanvir ; Muhammad, Taseer</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c2521-784fbd3552106fdd2aea2656ee6a23fa18fccbd648881e84ffbedb426f51c5fc3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Biot number</topic><topic>Boundary conditions</topic><topic>Coefficient of friction</topic><topic>Continuous casting</topic><topic>Fluid dynamics</topic><topic>Fluid flow</topic><topic>Fluid mechanics</topic><topic>Friction</topic><topic>Heat transfer</topic><topic>Magnetic fields</topic><topic>Magnetohydrodynamics</topic><topic>Mathematical analysis</topic><topic>Mathematical problems</topic><topic>Non-Newtonian fluids</topic><topic>Nonlinear differential equations</topic><topic>Ordinary differential equations</topic><topic>Parameters</topic><topic>Partial differential equations</topic><topic>Prandtl number</topic><topic>Schmidt number</topic><topic>Shear stress</topic><topic>Skin</topic><topic>Skin friction</topic><topic>Stretching</topic><topic>Switches</topic><topic>Two dimensional flow</topic><topic>Velocity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ahmed, Kamran</creatorcontrib><creatorcontrib>Akbar, Tanvir</creatorcontrib><creatorcontrib>Muhammad, Taseer</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)</collection><collection>ProQuest Central</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>AUTh Library subscriptions: ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>Middle East & Africa Database</collection><collection>ProQuest Central</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>ProQuest advanced technologies & aerospace journals</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Publicly Available Content (ProQuest)</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>Ahmed, Kamran</au><au>Akbar, Tanvir</au><au>Muhammad, Taseer</au><au>Rasheed, Amer</au><au>Amer Rasheed</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Physical Aspects of Homogeneous-Heterogeneous Reactions on MHD Williamson Fluid Flow across a Nonlinear Stretching Curved Surface Together with Convective Boundary Conditions</atitle><jtitle>Mathematical problems in engineering</jtitle><date>2021</date><risdate>2021</risdate><volume>2021</volume><spage>1</spage><epage>13</epage><pages>1-13</pages><issn>1024-123X</issn><eissn>1563-5147</eissn><abstract>This article is concerned with the fluid mechanics of MHD steady 2D flow of Williamson fluid over a nonlinear stretching curved surface in conjunction with homogeneous-heterogeneous reactions with convective boundary conditions. An effective similarity transformation is considered that switches the nonlinear partial differential equations riveted to ordinary differential equations. The governing nonlinear coupled differential equations are solved by using MATLAB bvp4c code. The physical features of nondimensional Williamson fluid parameter λ, power-law stretching index m, curvature parameter K, Schmidt number Sc, magnetic field parameter M, Prandtl number Pr, homogeneous reaction strength k1, heterogeneous reaction strength k2, and Biot number γ are presented through the graphs. The tabulated form of results is obtained for the skin friction coefficient. It is noted that both the homogeneous and heterogeneous reaction strengths reduced the concentration profile.</abstract><cop>New York</cop><pub>Hindawi</pub><doi>10.1155/2021/7016961</doi><tpages>13</tpages><orcidid>https://orcid.org/0000-0002-0838-2731</orcidid><oa>free_for_read</oa></addata></record> |
fulltext | fulltext |
identifier | ISSN: 1024-123X |
ispartof | Mathematical problems in engineering, 2021, Vol.2021, p.1-13 |
issn | 1024-123X 1563-5147 |
language | eng |
recordid | cdi_proquest_journals_2603591095 |
source | Wiley Online Library Open Access; Publicly Available Content (ProQuest) |
subjects | Biot number Boundary conditions Coefficient of friction Continuous casting Fluid dynamics Fluid flow Fluid mechanics Friction Heat transfer Magnetic fields Magnetohydrodynamics Mathematical analysis Mathematical problems Non-Newtonian fluids Nonlinear differential equations Ordinary differential equations Parameters Partial differential equations Prandtl number Schmidt number Shear stress Skin Skin friction Stretching Switches Two dimensional flow Velocity |
title | Physical Aspects of Homogeneous-Heterogeneous Reactions on MHD Williamson Fluid Flow across a Nonlinear Stretching Curved Surface Together with Convective Boundary Conditions |
url | http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-02T04%3A58%3A28IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Physical%20Aspects%20of%20Homogeneous-Heterogeneous%20Reactions%20on%20MHD%20Williamson%20Fluid%20Flow%20across%20a%20Nonlinear%20Stretching%20Curved%20Surface%20Together%20with%20Convective%20Boundary%20Conditions&rft.jtitle=Mathematical%20problems%20in%20engineering&rft.au=Ahmed,%20Kamran&rft.date=2021&rft.volume=2021&rft.spage=1&rft.epage=13&rft.pages=1-13&rft.issn=1024-123X&rft.eissn=1563-5147&rft_id=info:doi/10.1155/2021/7016961&rft_dat=%3Cproquest_cross%3E2603591095%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c2521-784fbd3552106fdd2aea2656ee6a23fa18fccbd648881e84ffbedb426f51c5fc3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2603591095&rft_id=info:pmid/&rfr_iscdi=true |