Entropy optimization of MHD second-grade nanofluid thermal transmission along stretched sheet with variable density and thermal-concentration slip effects
The goal of present investigation is to explore the influence of exponential variable density and entropy optimization on second-grade nanofluid heating efficiency and mass-concentration transmission along extended surface using external magnetic-field and temperature-concentration slip effects. To...
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| Language: | English |
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Elsevier
2024-11-01
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| Series: | Case Studies in Thermal Engineering |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2214157X24013194 |
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| author | Zia Ullah Md Mahbub Alam Jihad Younis Irfan Haider M.S. Alqurashi Hanaa Abu-Zinadah Fethi Albouchi Abdullah A. Faqihi |
| author_facet | Zia Ullah Md Mahbub Alam Jihad Younis Irfan Haider M.S. Alqurashi Hanaa Abu-Zinadah Fethi Albouchi Abdullah A. Faqihi |
| author_sort | Zia Ullah |
| collection | DOAJ |
| description | The goal of present investigation is to explore the influence of exponential variable density and entropy optimization on second-grade nanofluid heating efficiency and mass-concentration transmission along extended surface using external magnetic-field and temperature-concentration slip effects. To enhance the motion of nanoparticles and thermal efficiency, the influence of exponential form of temperature-based density on magnetically charged second-grade nanomaterial is main novelty of this research. For higher temperature difference, the entropy optimization is used. The defined formulation of stream functions and similarities are used to convert leading second-grade nanofluid model into ordinary differential form. The efficient Keller box method and Newton Raphson technique are applied to compute numerical results. The final algebraic equations are solved through global matrix for unknown physical quantities. The consequence of all physical constraints on velocity/U profile, temperature/θ field, concentration/ϕ shapes, skin friction coefficient, Nusselt and Sherwood number are analyzed pictorially and numerically. The following range of parameters 0.1 ≤ ξ ≤ 2.0, 0.0 ≤ n ≤ 1.2, 0.1 ≤ Ec ≤ 2.0, 0.07 ≤ Pr ≤ 7.0, 0.01 ≤ Nt ≤ 0.8, 0.01 ≤ Nb ≤ 0.9 is used. It is found that velocity field increases with maximum amplitude as variable density, magnetic force and temperature-slip constraint. It is noted that the slip behavior in temperature field and concentration field are increased with convective boundary conditions. It is depicted that local Nusselt quantity and local Sherwood quantity increases as buoyancy force and Prandtl coefficient increases. |
| format | Article |
| id | doaj-art-4b58a3bd016b471db455b1c9101d548f |
| institution | Kabale University |
| issn | 2214-157X |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Case Studies in Thermal Engineering |
| spelling | doaj-art-4b58a3bd016b471db455b1c9101d548f2024-11-14T04:31:52ZengElsevierCase Studies in Thermal Engineering2214-157X2024-11-0163105288Entropy optimization of MHD second-grade nanofluid thermal transmission along stretched sheet with variable density and thermal-concentration slip effectsZia Ullah0Md Mahbub Alam1Jihad Younis2Irfan Haider3M.S. Alqurashi4Hanaa Abu-Zinadah5Fethi Albouchi6Abdullah A. Faqihi7Center for Turbulence Control, Harbin Institute of Technology (Shenzhen), Shenzhen, 518055, China; Department of Mathematics and Statistics, The University of Lahore, Sargodha-Campus, 40100, Sargodha, Pakistan; Corresponding author. Center for Turbulence Control, Harbin Institute of Technology (Shenzhen), Shenzhen, 518055, China.Center for Turbulence Control, Harbin Institute of Technology (Shenzhen), Shenzhen, 518055, China; Corresponding author. Center for Turbulence Control, Harbin Institute of Technology (Shenzhen), Shenzhen, 518055, China.Aden University, Khormaksar, P. O. Box 6014, Aden, Yemen; Corresponding author.Department of Physics, The University of Lahore, Sargodha, 40100, PakistanDepartment of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaUniversity of Jeddah, College of Science, Department of Mathematics and Statistics, Jeddah, Saudi ArabiaApplied College at Mohayel Assir, King Khalid University, Abha, Saudi ArabiaDepartment of Industrial Engineering, College of Engineering and Computer Science, Jazan University, Jazan, P.O. Box 706, Jazan, 45142, Saudi ArabiaThe goal of present investigation is to explore the influence of exponential variable density and entropy optimization on second-grade nanofluid heating efficiency and mass-concentration transmission along extended surface using external magnetic-field and temperature-concentration slip effects. To enhance the motion of nanoparticles and thermal efficiency, the influence of exponential form of temperature-based density on magnetically charged second-grade nanomaterial is main novelty of this research. For higher temperature difference, the entropy optimization is used. The defined formulation of stream functions and similarities are used to convert leading second-grade nanofluid model into ordinary differential form. The efficient Keller box method and Newton Raphson technique are applied to compute numerical results. The final algebraic equations are solved through global matrix for unknown physical quantities. The consequence of all physical constraints on velocity/U profile, temperature/θ field, concentration/ϕ shapes, skin friction coefficient, Nusselt and Sherwood number are analyzed pictorially and numerically. The following range of parameters 0.1 ≤ ξ ≤ 2.0, 0.0 ≤ n ≤ 1.2, 0.1 ≤ Ec ≤ 2.0, 0.07 ≤ Pr ≤ 7.0, 0.01 ≤ Nt ≤ 0.8, 0.01 ≤ Nb ≤ 0.9 is used. It is found that velocity field increases with maximum amplitude as variable density, magnetic force and temperature-slip constraint. It is noted that the slip behavior in temperature field and concentration field are increased with convective boundary conditions. It is depicted that local Nusselt quantity and local Sherwood quantity increases as buoyancy force and Prandtl coefficient increases.http://www.sciencedirect.com/science/article/pii/S2214157X24013194Entropy generationSecond-grade nanofluidVariable densityMHDHeat and mass transferThermal-concentration slip |
| spellingShingle | Zia Ullah Md Mahbub Alam Jihad Younis Irfan Haider M.S. Alqurashi Hanaa Abu-Zinadah Fethi Albouchi Abdullah A. Faqihi Entropy optimization of MHD second-grade nanofluid thermal transmission along stretched sheet with variable density and thermal-concentration slip effects Case Studies in Thermal Engineering Entropy generation Second-grade nanofluid Variable density MHD Heat and mass transfer Thermal-concentration slip |
| title | Entropy optimization of MHD second-grade nanofluid thermal transmission along stretched sheet with variable density and thermal-concentration slip effects |
| title_full | Entropy optimization of MHD second-grade nanofluid thermal transmission along stretched sheet with variable density and thermal-concentration slip effects |
| title_fullStr | Entropy optimization of MHD second-grade nanofluid thermal transmission along stretched sheet with variable density and thermal-concentration slip effects |
| title_full_unstemmed | Entropy optimization of MHD second-grade nanofluid thermal transmission along stretched sheet with variable density and thermal-concentration slip effects |
| title_short | Entropy optimization of MHD second-grade nanofluid thermal transmission along stretched sheet with variable density and thermal-concentration slip effects |
| title_sort | entropy optimization of mhd second grade nanofluid thermal transmission along stretched sheet with variable density and thermal concentration slip effects |
| topic | Entropy generation Second-grade nanofluid Variable density MHD Heat and mass transfer Thermal-concentration slip |
| url | http://www.sciencedirect.com/science/article/pii/S2214157X24013194 |
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