New similarity solution of boundary layer flow along a continuously moving convectively heated horizontal plate by deductive group method
A mathematical model is presented and analyzed for steady two-dimensional non-isothermal laminar free convective boundary layer flow along a convectively heated moving horizontal plate. New similarity transformations are developed using one parameter deductive group transformations and hence the gov...
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| Veröffentlicht in: | Thermal science 2015, Vol.19 (3), p.1017-1024 |
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| creator | Uddin, Mohammed Khan, Waqar Ismail, Ahmad Hamad, M.A.A. |
| description | A mathematical model is presented and analyzed for steady two-dimensional
non-isothermal laminar free convective boundary layer flow along a
convectively heated moving horizontal plate. New similarity transformations
are developed using one parameter deductive group transformations and hence
the governing transport equations are reduced to a system of coupled,
nonlinear ordinary differential equations with associated boundary
conditions. The reduced equations are then solved numerically by an implicit
finite difference numerical method. The effects of pertinent parameters on
the non-dimensional velocity, temperature, friction factor and heat transfer
rates are investigated and presented graphically. It is found that friction
factor decreases with the free convective parameter and rate of heat
transfer increases with the convection-conduction parameter.
nema |
| doi_str_mv | 10.2298/TSCI130115014U |
| format | Article |
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non-isothermal laminar free convective boundary layer flow along a
convectively heated moving horizontal plate. New similarity transformations
are developed using one parameter deductive group transformations and hence
the governing transport equations are reduced to a system of coupled,
nonlinear ordinary differential equations with associated boundary
conditions. The reduced equations are then solved numerically by an implicit
finite difference numerical method. The effects of pertinent parameters on
the non-dimensional velocity, temperature, friction factor and heat transfer
rates are investigated and presented graphically. It is found that friction
factor decreases with the free convective parameter and rate of heat
transfer increases with the convection-conduction parameter.
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non-isothermal laminar free convective boundary layer flow along a
convectively heated moving horizontal plate. New similarity transformations
are developed using one parameter deductive group transformations and hence
the governing transport equations are reduced to a system of coupled,
nonlinear ordinary differential equations with associated boundary
conditions. The reduced equations are then solved numerically by an implicit
finite difference numerical method. The effects of pertinent parameters on
the non-dimensional velocity, temperature, friction factor and heat transfer
rates are investigated and presented graphically. It is found that friction
factor decreases with the free convective parameter and rate of heat
transfer increases with the convection-conduction parameter.
nema</description><subject>Boundary conditions</subject><subject>Boundary layer flow</subject><subject>Conduction heating</subject><subject>Finite difference method</subject><subject>Friction factor</subject><subject>Heat transfer</subject><subject>Laminar boundary layer</subject><subject>Nonlinear differential equations</subject><subject>Nonlinear equations</subject><subject>Numerical methods</subject><subject>Ordinary differential equations</subject><subject>Parameters</subject><subject>Similarity solutions</subject><subject>Transformations (mathematics)</subject><subject>Transport equations</subject><subject>Two dimensional analysis</subject><subject>Two dimensional models</subject><issn>0354-9836</issn><issn>2334-7163</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNpVkM1LwzAYh4MoOKdXzwHPnflo0-Yow4_B0IPbuSRNumWkzUyajfof-F8bnRdPLzw8_F54ALjFaEYIr-5X7_MFpgjjAuF8fQYmhNI8KzGj52CCaJFnvKLsElyFsEOIsaoqJ-DrVR9hMJ2xwpthhMHZOBjXQ9dC6WKvhB-hFaP2sLXuCIV1_QYK2Lh-MH10MdgRdu5gEk3soJvBHHRiWy0GreDWefOZXGHh3iYC5QiVVvFXgxvv4h52etg6dQ0uWmGDvvm7U7B-elzNX7Ll2_Ni_rDMGorKISNIMKrbilRItIyhikokNVel5KiQLVUlw4RRonijBK0KTkgp80JKwiTTRU6n4O60u_fuI-ow1DsXfZ9e1iRPHTGnlCdrdrIa70Lwuq333nQpRo1R_ZO7_p-bfgPUZ3Yi</recordid><startdate>2015</startdate><enddate>2015</enddate><creator>Uddin, Mohammed</creator><creator>Khan, Waqar</creator><creator>Ismail, Ahmad</creator><creator>Hamad, M.A.A.</creator><general>Society of Thermal Engineers of Serbia</general><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>D1I</scope><scope>DWQXO</scope><scope>FR3</scope><scope>HCIFZ</scope><scope>KB.</scope><scope>L6V</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PDBOC</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>2015</creationdate><title>New similarity solution of boundary layer flow along a continuously moving convectively heated horizontal plate by deductive group method</title><author>Uddin, Mohammed ; Khan, Waqar ; Ismail, Ahmad ; Hamad, M.A.A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c307t-20a63ef8280af66083b0be9d7b905bf3d7612632d9cda3859227b45bb26b6e543</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Boundary conditions</topic><topic>Boundary layer flow</topic><topic>Conduction heating</topic><topic>Finite difference method</topic><topic>Friction factor</topic><topic>Heat transfer</topic><topic>Laminar boundary layer</topic><topic>Nonlinear differential equations</topic><topic>Nonlinear equations</topic><topic>Numerical methods</topic><topic>Ordinary differential equations</topic><topic>Parameters</topic><topic>Similarity solutions</topic><topic>Transformations (mathematics)</topic><topic>Transport equations</topic><topic>Two dimensional analysis</topic><topic>Two dimensional models</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Uddin, Mohammed</creatorcontrib><creatorcontrib>Khan, Waqar</creatorcontrib><creatorcontrib>Ismail, Ahmad</creatorcontrib><creatorcontrib>Hamad, M.A.A.</creatorcontrib><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>ProQuest Materials Science Collection</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>SciTech Premium Collection</collection><collection>Materials Science Database</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Materials Science 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>Thermal science</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Uddin, Mohammed</au><au>Khan, Waqar</au><au>Ismail, Ahmad</au><au>Hamad, M.A.A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>New similarity solution of boundary layer flow along a continuously moving convectively heated horizontal plate by deductive group method</atitle><jtitle>Thermal science</jtitle><date>2015</date><risdate>2015</risdate><volume>19</volume><issue>3</issue><spage>1017</spage><epage>1024</epage><pages>1017-1024</pages><issn>0354-9836</issn><eissn>2334-7163</eissn><abstract>A mathematical model is presented and analyzed for steady two-dimensional
non-isothermal laminar free convective boundary layer flow along a
convectively heated moving horizontal plate. New similarity transformations
are developed using one parameter deductive group transformations and hence
the governing transport equations are reduced to a system of coupled,
nonlinear ordinary differential equations with associated boundary
conditions. The reduced equations are then solved numerically by an implicit
finite difference numerical method. The effects of pertinent parameters on
the non-dimensional velocity, temperature, friction factor and heat transfer
rates are investigated and presented graphically. It is found that friction
factor decreases with the free convective parameter and rate of heat
transfer increases with the convection-conduction parameter.
nema</abstract><cop>Belgrade</cop><pub>Society of Thermal Engineers of Serbia</pub><doi>10.2298/TSCI130115014U</doi><tpages>8</tpages><oa>free_for_read</oa></addata></record> |
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| ispartof | Thermal science, 2015, Vol.19 (3), p.1017-1024 |
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| language | eng |
| recordid | cdi_proquest_journals_2429819339 |
| source | EZB-FREE-00999 freely available EZB journals; Free Full-Text Journals in Chemistry |
| subjects | Boundary conditions Boundary layer flow Conduction heating Finite difference method Friction factor Heat transfer Laminar boundary layer Nonlinear differential equations Nonlinear equations Numerical methods Ordinary differential equations Parameters Similarity solutions Transformations (mathematics) Transport equations Two dimensional analysis Two dimensional models |
| title | New similarity solution of boundary layer flow along a continuously moving convectively heated horizontal plate by deductive group method |
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