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You X, Wang Y. Series Solutions of Three-Dimensional Magnetohydrodynamic Hybrid Nanofluid Flow and Heat Transfer. NANOMATERIALS (BASEL, SWITZERLAND) 2024; 14:316. [PMID: 38334587 PMCID: PMC11154403 DOI: 10.3390/nano14030316] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/31/2023] [Revised: 01/29/2024] [Accepted: 02/02/2024] [Indexed: 02/10/2024]
Abstract
Hybrid nanofluids have many real-world applications. Research has shown that mixed nanofluids facilitate heat transfer better than nanofluids with one type of nanoparticle. New applications for this type of material include microfluidics, dynamic sealing, and heat dissipation. In this study, we began by placing copper into H2O to prepare a Cu-H2O nanofluid. Next, Cu-H2O was combined with Al2O3 to create a Cu-Al2O3-H2O hybrid nanofluid. In this article, we present an analytical study of the estimated flows and heat transfer of incompressible three-dimensional magnetohydrodynamic hybrid nanofluids in the boundary layer. The application of similarity transformations converts the interconnected governing partial differential equations of the problem into a set of ordinary differential equations. Utilizing the homotopy analysis method (HAM), a uniformly effective series solution was obtained for the entire spatial region of 0 < η < ∞. The errors in the HAM calculation are smaller than 1 × 10-9 when compared to the results from the references. The volume fractions of the hybrid nanofluid and magnetic fields have significant impacts on the velocity and temperature profiles. The appearance of magnetic fields can alter the properties of hybrid nanofluids, thereby altering the local reduced friction coefficient and Nusselt numbers. As the volume fractions of nanoparticles increase, the effective viscosity of the hybrid nanofluid typically increases, resulting in an increase in the local skin friction coefficient. The increased interaction between the nanoparticles in the hybrid nanofluid leads to a decrease in the Nusselt number distribution.
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Affiliation(s)
| | - Yanbin Wang
- National Key Laboratory of Petroleum Resources and Engineering, China University of Petroleum (Beijing), Beijing 102249, China;
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Yasmin H, Lone SA, Tassaddiq A, Raizah Z, Alrabaiah H, Saeed A. Numerical analysis of slip-enhanced flow over a curved surface with magnetized water-based hybrid nanofluid containing gyrotactic microorganisms. Sci Rep 2023; 13:18816. [PMID: 37914835 PMCID: PMC10620430 DOI: 10.1038/s41598-023-46214-9] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/03/2023] [Accepted: 10/29/2023] [Indexed: 11/03/2023] Open
Abstract
This article presents the two-dimensional flow of hybrid nanofluid comprising of gyrotactic microorganisms under the consequences of multiple slip conditions, magnetic field and thermal radiation across an elongating curved surface using porous media. The nanoparticles of TiO2 and Fe3O4 have dispersed in water for composition of hybrid nanofluid. Main equations of the problem are converted to ODEs by using an appropriate set of variables. Solution of the present model is determined with the help of bvp4c technique, which is explained in detail in the coming section. Validation of the current results is done versus the published work. The effects of various emerging factors on flow distributions have been considered and explained. Additionally, the slips conditions are incorporated to analyze various flow distributions. The present outcomes show that the rising magnetic factor lessens the velocity profile, whereas rises the temperature profile. The curvature factor has supported both temperature and velocity distributions. Growth in velocity, thermal, concentration, and microorganisms slip factors reduce the corresponding distributions. The greater impact of the embedded parameters is found on hybrid nanofluid flow when matched to nanofluid flow.
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Affiliation(s)
- Humaira Yasmin
- Department of Basic Sciences, Preparatory Year Deanship, King Faisal University, 31982, Al Ahsa, Saudi Arabia.
| | - Showkat Ahmad Lone
- Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, 11673, Jeddah-M, Riyadh, Kingdom of Saudi Arabia
| | - Asifa Tassaddiq
- Department of Basic Sciences and Humanities, College of Computer and Information Sciences, Majmaah University, 11952, Al-Majmaah, Saudi Arabia
| | - Zehba Raizah
- Department of Mathematics, College of Science, King Khalid University, Abha, Saudi Arabia
| | - Hussam Alrabaiah
- College of Engineering, Al Ain University, Al Ain, United Arab Emirates
- Mathematics Department, Tafila Technical University, Tafila, Jordan
| | - Anwar Saeed
- Department of Mathematics, Abdul Wali Khan University, Mardan, 23200, Khyber Pakhtunkhwa, Pakistan.
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Lone SA, Anwar S, Saeed A, Bognár G. A stratified flow of a non-Newtonian Casson fluid comprising microorganisms on a stretching sheet with activation energy. Sci Rep 2023; 13:11240. [PMID: 37433846 DOI: 10.1038/s41598-023-38260-0] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/19/2023] [Accepted: 07/05/2023] [Indexed: 07/13/2023] Open
Abstract
A stratified flow may be seen regularly in a number of significant industrial operations. For instance, the stratified flow regime is typically used by gas-condensate pipelines. Clearly, only a limited set of working situations for which this flow arrangement is stable allow for the achievement of the stratified two-phase flow zone. In this paper, the authors are considered the laminar, steady and incompressible magnetohydrodynamic flow of a non-Newtonian Casson fluid flow past a stratified extending sheet. The features of bio-convection, Brownian motion, thermal radiation thermophoresis, heat source, and chemically reactive activation energy have been employed. The set of equations administered flow of fluid is converted into ordinary differential equation by suitable variables. A semi-analytical investigation of the present analysis is performed with homotopy analysis method. Endorsement of the current results with previous results is also investigated. The outcomes showed that the velocity distribution of the fluid flow lessens with higher Casson and magnetic factors. The temperature profiles of fluid flow shrinkage as the Prandtl number and Casson factor increase and enlarges with higher values of thermal radiation, magnetic, and Brownian motion factors. It is found that the growing thermophoretic and Brownian motion factors reduce the rate of thermal flow of the Casson fluid flow. In contrast, the increasing thermal stratification parameter increases the thermal flow rate of fluid.
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Affiliation(s)
- Showkat Ahmad Lone
- Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, 11673, Riyadh, Jeddah-M, Kingdom of Saudi Arabia
| | - Sadia Anwar
- Department of Mathematics, College of Arts and Sciences, Prince Sattam Bin Abdul Aziz University, 11991, Wadi ad Dawasir, Al-Kharj, Kingdom of Saudi Arabia
| | - Anwar Saeed
- Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok, 10140, Thailand
| | - Gabriella Bognár
- Institute of Machine and Product Design, University of Miskolc, Miskolc-Egyetemvaros, 3515, Hungary.
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Ahmad S, Ali K, Katbar NM, Akhtar Y, Cai J, Jamshed W, El Din SM, Abd-Elmonem A, Elmki Abdalla NS. Vortex generation due to multiple localized magnetic fields in the hybrid nanofluid flow - A numerical investigation. Heliyon 2023; 9:e17756. [PMID: 37449188 PMCID: PMC10336800 DOI: 10.1016/j.heliyon.2023.e17756] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/29/2023] [Revised: 06/24/2023] [Accepted: 06/27/2023] [Indexed: 07/18/2023] Open
Abstract
Vortices capture the attention of every scientist (as soon as they come into existence) while studying any flow problem because of their significance in comprehending fluid mixing and mass transport processes. A vortex is indeed a physical phenomenon that happens when a liquid or a gas flow in a circular motion. They are generated due to the velocity difference and may be seen in hurricanes, air moving across the plane wing, tornadoes, etc. The study of vortices is important for understanding various natural phenomena in different settings. This work explores the complex dynamics of the Lorentz force that drives the rotation of nanostructures and the emergence of intricate vortex patterns in a hybrid fluid with Fe3O4-Cu nanoparticles. The hybrid nanofluid is modeled as a single-phase fluid, and the partial differential equations (PDEs) that govern its behavior are solved numerically. This work also introduces a novel analysis that enables us to visualize the flow lines and isotherms around the magnetic strips in the flow domain. The Lorentz force confined to the strips causes the spinning of hybrid nanoparticles, resulting in complex vortex structures in the flow domain. The results indicate that the magnetic field lowers the Nusselt number by 34% while raising the skin friction by 9%. The Reynolds number amplifies the influence of the localized magnetic field on the flow dynamics. Lastly, the nano-scaled structures in the flow enhance the Nusselt number significantly while having a minor effect on the skin friction factor.
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Affiliation(s)
- Shabbir Ahmad
- Institute of Geophysics and Geomatics, China University of Geosciences, Wuhan, 430074, China
- Department of Basic Sciences and Humanities, Muhammad Nawaz Sharif University of Engineering and Technology, Multan, 60000, Pakistan
| | - Kashif Ali
- Department of Basic Sciences and Humanities, Muhammad Nawaz Sharif University of Engineering and Technology, Multan, 60000, Pakistan
| | - Nek Muhammad Katbar
- Mehran UET Shaheed Zulfiqar Ali Bhutto Campus, Khairpur, Pakistan
- School of Mathematics and Statistics, Central South University, Changsha, 410083, China
| | - Yasmeen Akhtar
- College of Pharmaceutical Sciences, Zhejiang University, Hangzhou, 310030, China
| | - Jianchao Cai
- Institute of Geophysics and Geomatics, China University of Geosciences, Wuhan, 430074, China
| | - Wasim Jamshed
- Department of Mathematics, Capital University of Science and Technology (CUST), Islamabad, 44000, Pakistan
| | - Sayed M El Din
- Center of Research, Faculty of Engineering, Future University in Egypt, New Cairo, 11835, Egypt
| | - Assmaa Abd-Elmonem
- Department of Mathematics, College of Science, King Khalid University, Abha, Saudi Arabia
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