Numerical analysis of radiative hybrid nanomaterials flow across a permeable curved surface with inertial and Joule heating characteristics
The water-based Cu and CoFe2O4 hybrid nano liquid flow across a permeable curved sheet under the consequences of inertial and Lorentz forces has been reported in this analysis. The Joule heating and Darcy Forchheimer effects on fluid flow have been also examined. In the presence of copper (Cu) and c...
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| Format: | Article |
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Elsevier
2023-11-01
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| Series: | Heliyon |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844023086607 |
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| author | Asif Ullah Hayat Ikram Ullah Hassan Khan Mohammad Mahtab Alam Ahmed M. Hassan Hamda Khan |
| author_facet | Asif Ullah Hayat Ikram Ullah Hassan Khan Mohammad Mahtab Alam Ahmed M. Hassan Hamda Khan |
| author_sort | Asif Ullah Hayat |
| collection | DOAJ |
| description | The water-based Cu and CoFe2O4 hybrid nano liquid flow across a permeable curved sheet under the consequences of inertial and Lorentz forces has been reported in this analysis. The Joule heating and Darcy Forchheimer effects on fluid flow have been also examined. In the presence of copper (Cu) and cobalt iron oxide (CoFe2O4) nanoparticles, the hybrid nano liquid is synthesized. Radiation and heat source features are additionally incorporated to perform thermodynamics analysis in detail. The second law of thermodynamics is employed in order to estimate the overall generation of entropy. The nonlinear system of PDEs (partial differential equations) is transformed into a dimensionally-free set of ODEs (ordinary differential equations) by employing a similarity framework. The Mathematica built in package ND Solve method is applied to compute the resulting set of nonlinear differential equations numerically. Along with the velocity, and temperature profiles, skin friction and Nusselt number are also computed. Figures and tables illustrate the effects of flow factors on important profiles. Evidently, the outcomes reveal that hybrid nanofluid (Cu + CoFe2O4+H2O) is more progressive than nanofluid (Cu + H2O) and base fluid (H2O) in thermal phenomena. Furthermore, the velocity profile is improved with the greater values of curvature parameter, while the inverse trend is observed against the magnetic parameters. Also, the velocity and energy distribution of hybrid nano-liquid flow boosts with the inclusion of Cu and CoFe2O4 nanoparticles into the base fluid. Velocity distribution diminishes with the increment of volume friction. For high values of inertial factor, skin friction improve while velocity and Nusselt number declines. |
| first_indexed | 2024-03-09T09:19:47Z |
| format | Article |
| id | doaj.art-7b0cb8ac2af647fba9e55900a01bb61f |
| institution | Directory Open Access Journal |
| issn | 2405-8440 |
| language | English |
| last_indexed | 2024-03-09T09:19:47Z |
| publishDate | 2023-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj.art-7b0cb8ac2af647fba9e55900a01bb61f2023-12-02T07:02:23ZengElsevierHeliyon2405-84402023-11-01911e21452Numerical analysis of radiative hybrid nanomaterials flow across a permeable curved surface with inertial and Joule heating characteristicsAsif Ullah Hayat0Ikram Ullah1Hassan Khan2Mohammad Mahtab Alam3Ahmed M. Hassan4Hamda Khan5Department of Mathematics, Abdul Wali Khan University, Mardan, 23200, Pakistan; Corresponding author.Department of Natural Sciences and Humanities, University of Engineering and Technology, Mardan, 23200, PakistanDepartment of Mathematics, Abdul Wali Khan University, Mardan, 23200, Pakistan; Department of Mathematics, Near East University TRNC, 99138, Mersin, TurkeyDepartment of Basic Medical Sciences, College of Applied Medical Science, King Khalid University, Abha, 61421, Saudi ArabiaDepartment of Mechanical Engineering, Future University in Egypt, New Cairo, 11835, EgyptDepartment of Sciences & Humanities, National University of Computer and Emerging Sciences, Islamabad, PakistanThe water-based Cu and CoFe2O4 hybrid nano liquid flow across a permeable curved sheet under the consequences of inertial and Lorentz forces has been reported in this analysis. The Joule heating and Darcy Forchheimer effects on fluid flow have been also examined. In the presence of copper (Cu) and cobalt iron oxide (CoFe2O4) nanoparticles, the hybrid nano liquid is synthesized. Radiation and heat source features are additionally incorporated to perform thermodynamics analysis in detail. The second law of thermodynamics is employed in order to estimate the overall generation of entropy. The nonlinear system of PDEs (partial differential equations) is transformed into a dimensionally-free set of ODEs (ordinary differential equations) by employing a similarity framework. The Mathematica built in package ND Solve method is applied to compute the resulting set of nonlinear differential equations numerically. Along with the velocity, and temperature profiles, skin friction and Nusselt number are also computed. Figures and tables illustrate the effects of flow factors on important profiles. Evidently, the outcomes reveal that hybrid nanofluid (Cu + CoFe2O4+H2O) is more progressive than nanofluid (Cu + H2O) and base fluid (H2O) in thermal phenomena. Furthermore, the velocity profile is improved with the greater values of curvature parameter, while the inverse trend is observed against the magnetic parameters. Also, the velocity and energy distribution of hybrid nano-liquid flow boosts with the inclusion of Cu and CoFe2O4 nanoparticles into the base fluid. Velocity distribution diminishes with the increment of volume friction. For high values of inertial factor, skin friction improve while velocity and Nusselt number declines.http://www.sciencedirect.com/science/article/pii/S2405844023086607Darcy forchheimer lawThermal radiationCurved porous mediumJoule heatingHybrid nanofluid |
| spellingShingle | Asif Ullah Hayat Ikram Ullah Hassan Khan Mohammad Mahtab Alam Ahmed M. Hassan Hamda Khan Numerical analysis of radiative hybrid nanomaterials flow across a permeable curved surface with inertial and Joule heating characteristics Heliyon Darcy forchheimer law Thermal radiation Curved porous medium Joule heating Hybrid nanofluid |
| title | Numerical analysis of radiative hybrid nanomaterials flow across a permeable curved surface with inertial and Joule heating characteristics |
| title_full | Numerical analysis of radiative hybrid nanomaterials flow across a permeable curved surface with inertial and Joule heating characteristics |
| title_fullStr | Numerical analysis of radiative hybrid nanomaterials flow across a permeable curved surface with inertial and Joule heating characteristics |
| title_full_unstemmed | Numerical analysis of radiative hybrid nanomaterials flow across a permeable curved surface with inertial and Joule heating characteristics |
| title_short | Numerical analysis of radiative hybrid nanomaterials flow across a permeable curved surface with inertial and Joule heating characteristics |
| title_sort | numerical analysis of radiative hybrid nanomaterials flow across a permeable curved surface with inertial and joule heating characteristics |
| topic | Darcy forchheimer law Thermal radiation Curved porous medium Joule heating Hybrid nanofluid |
| url | http://www.sciencedirect.com/science/article/pii/S2405844023086607 |
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