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Sohail M, Nazir U, Singh A, Tulu A, Khan MJ. Finite element analysis of cross fluid model over a vertical disk suspended to a tetra hybrid nanoparticles mixture. Sci Rep 2024; 14:1520. [PMID: 38233448 PMCID: PMC10794221 DOI: 10.1038/s41598-024-51262-w] [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: 11/09/2023] [Accepted: 01/02/2024] [Indexed: 01/19/2024] Open
Abstract
Nanoparticles have numerous applications and are used frequently in different cooling, heating, treatment of cancer cells and manufacturing processes. The current investigation covers the utilization of tetra hybrid nanofluid (aluminum oxide, iron dioxide, titanium dioxide and copper) for Crossflow model over a vertical disk by considering the shape effects (bricks, cylindrical and platelet) of nanoparticles, electro-magneto-hydrodynamic effect and quadratic thermal radiation. In the current inspection model is first derived given PD-equations and then altered into a system of OD-equations by including similarity variables. The converted ordinary differential equations are solved by using the finite element procedure and the impact of the solution against numerous involved parameters is displayed through tables and graphs. It is observed that tetra-hybrid nanoparticles are recommended better in industrial applications where the highest production of thermal energy. Moreover, an enhancement of thermal production can be achieved utilizing different values of the magnetic parameter, time relaxation number, variable thermal radiation number and magnetic induction number but the opposite trend has been noticed with the effects of radiation number.
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Affiliation(s)
- Muhammad Sohail
- Institute of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, 64200, Pakistan.
| | - Umar Nazir
- Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, 40002, Thailand
| | - Abha Singh
- Department of Basic Sciences, College of Sciences and Theoretical Studies, Dammam-Branch, Saudi Electronic University, Riyadh, Saudi Arabia
| | - Ayele Tulu
- Department of Mathematics, CNCS Ambo University, Ambo, Ethiopia.
| | - Muhammad Jahangir Khan
- Department of Advance Materials and Technologies, Faculty of Materials Engineering, Silesian University of Technology, 44-100, Gliwice, Poland
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Sahaya Jenifer A, Saikrishnan P. Steady Magnetohydrodynamic Flow of Cu–Al 2O 3/Water Hybrid Nanofluid Over a Yawed Cylinder. JOURNAL OF NANOFLUIDS 2022. [DOI: 10.1166/jon.2022.1885] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
Abstract
This study presents non-similar solutions for the magnetohydrodynamic hybrid nanofluid copper-alumina/water flow over an infinite yawed cylinder, featuring an emphasis on entropy generation owing to heat transfer, fluid friction, and joule heating. Non-similar transformations are used
to convert non-linear governing equations and boundary conditions into a non-dimensional form, which is subsequently linearized using the quasi-linearization approach. Implicit finite differentiation is used to solve the equations that arise. The influence of viscous dissipation is considered
and entropy generation analysis is done for various values of yaw angle, magnetohydrodynamic parameter and viscous dissipation parameter. The results show that when the magnetic field is increased, the ordinary separation is delayed. The thermal boundary layer of the hybrid nanofluid copper-alumina/water
is found to be thicker than the thermal boundary layer of the nanofluids copper/water and alumina/water as well as the working fluid water. As the viscous dissipation and magnetic field increase, the overall entropy generation increases. To lower overall entropy generation, the cylinder’s
yaw angle must be increased.
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Affiliation(s)
- A. Sahaya Jenifer
- Department of Mathematics, National Institute of Technology, Tiruchirappalli 620015, India
| | - P. Saikrishnan
- Department of Mathematics, National Institute of Technology, Tiruchirappalli 620015, India
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Mahabaleshwar US, Maranna T, Sofos F. Analytical investigation of an incompressible viscous laminar Casson fluid flow past a stretching/shrinking sheet. Sci Rep 2022; 12:18404. [PMID: 36319735 PMCID: PMC9626624 DOI: 10.1038/s41598-022-23295-6] [Citation(s) in RCA: 6] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/04/2022] [Accepted: 10/29/2022] [Indexed: 02/09/2023] Open
Abstract
This paper presents an analytical approach on capturing the effect of incompressible, non-Newtonian, viscous, Casson nanofluid flow past a stretching/shrinking surface, under the influence of heat radiation and mass transfer parameter. The governing nonlinear partial differential equations are first transformed into a series of associated nonlinear ordinary differential equations with aid of predictable transformation, while numerical computations follow. The implied nanofluid here is aluminum oxide ([Formula: see text]). The analytical solution is exploited to reveal the accompanying non-dimensional boundary value problem and output results are employed to verify the method's reliability, where it is shown that they agree with current findings in the field. An incomplete gamma function is used to solve temperature equation analytically. We present various instances of the solution, depicting effects of the essential flow factor, the stretching/shrinking parameter, the mass transfer parameter, radiation parameter, and Prandtl number.
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Affiliation(s)
- Ulavathi Shettar Mahabaleshwar
- grid.449028.30000 0004 1773 8378Department of Studies in Mathematics, Davangere University, Shivagangothri, Davangere, 577 007 India
| | - Thippaiah Maranna
- grid.449028.30000 0004 1773 8378Department of Studies in Mathematics, Davangere University, Shivagangothri, Davangere, 577 007 India
| | - Filippos Sofos
- grid.410558.d0000 0001 0035 6670Condensed Matter Physics Laboratory, Department of Physics, University of Thessaly, 35100 Lamia, Greece
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Guedri K, Khan A, Gul T, Mukhtar S, Alghamdi W, Yassen MF, Tag Eldin E. Thermally Dissipative Flow and Entropy Analysis for Electromagnetic Trihybrid Nanofluid Flow Past a Stretching Surface. ACS OMEGA 2022; 7:33432-33442. [PMID: 36157759 PMCID: PMC9494684 DOI: 10.1021/acsomega.2c04047] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/04/2022] [Accepted: 08/25/2022] [Indexed: 05/02/2023]
Abstract
The growth of hybrid nanofluids can be connected to their enhanced thermal performance as pertains to the dynamics of automobile coolant among others. In addition to that, the thermal characteristics of water-based nanofluids carrying three different types of nanoparticles are incredible. Keeping in view this new idea, the current investigation explores ternary hybrid nanofluid flow over a stretching sheet. Joule heating and viscous dissipation are addressed in the heat equation. Three distinct kinds of nanoparticles, namely, magnesium oxide, copper, and MWCNTs, are suspended in water to form a ternary hybrid nanofluid with the combination MgO-Cu-MWCNTs-H2O. To stabilize the flow of the ternary hybrid nanofluid, transverse magnetic and electric fields have been considered in the fluid model. The production of entropy has been analyzed for the modeled problem. A comparative study for ternary, hybrid, and traditional nanofluids has also been carried out by sketching statistical charts. The equations that govern the problem are shifted to dimension-free format by employing transformable variables, and then they are solved by the homotopy analysis method (HAM). It has been revealed in this work that the flow of fluid opposes by magnetic parameter and supports by electric field the volumetric fraction of ternary hybrid nanofluid, while thermal profiles are gained by the growing values of these parameters. Boosting values of the electric field, magnetic parameters, and Eckert number support the Bejan number and oppose the production of entropy. Statistically, it has been established in this work that a ternary hybrid nanofluid has a higher thermal conductivity than hybrid or traditional nanofluids.
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Affiliation(s)
- Kamel Guedri
- Mechanical
Engineering Department, College of Engineering and Islamic Architecture, Umm Al-Qura University, P.O. Box 5555, Makkah, 21955, Saudi Arabia
| | - Arshad Khan
- College
of Aeronautical Engineering, National University
of Sciences and Technology (NUST), Sector H-12, Islamabad, 44000, Pakistan
- E-mail:
| | - Taza Gul
- Department
of Mathematics, City University of Science
and IT, Peshawar, 25000, Pakistan
| | - Safyan Mukhtar
- Department
of Basic Sciences, Preparatory Year Deanship
King Faisal University, P.O. Box 400, Hofuf, Al-Ahsa, 31982, Saudi Arabia
| | - Wajdi Alghamdi
- Department
of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah, 80261, Saudi Arabia
| | - Mansour F. Yassen
- Department
of Mathematics, College of Science and Humanities in Al-Aflaj, Prince Sattam Bin Abdulaziz University, Al-Aflaj, 11912, Saudi Arabia
- Department
of Mathematics, Faculty of Science, Damietta
University, New Damietta34517Damietta, Egypt
| | - Elsayed Tag Eldin
- Faculty
of
Engineering and Technology, Future University
in EgyptNew Cairo, 11835, Egypt
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Modeling of three dimensional Prandtl hybrid nano-material over a heated rotating cone involving hall and ion slip currents via finite element procedure. Sci Rep 2022; 12:12206. [PMID: 35842471 PMCID: PMC9288551 DOI: 10.1038/s41598-022-16555-y] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/03/2022] [Accepted: 07/12/2022] [Indexed: 01/09/2023] Open
Abstract
Flow in a rotating cone for magnetized Prandtl fluid model is inspected in this investigation. The momentum equation of Prandtl model is derived under the consideration of Hall and ion slip effects and heat transport phenomenon is considered with Joule heating and viscous dissipation effects. The model of Hamilton Crosser and Yamada Ota are considered for the empirical relations of nanofluid mixture. The flow presenting expression of Prandtl fluid model with thermal transport is modeled under boundary layer approximation in the form of partial differential equations (PDEs). The derived PDEs have been converted into set of coupled nonlinear ordinary differential equations (ODEs) by engaging an appropriate scaling group transformation and these converted nonlinear set of ODEs have been tackled numerically via finite element scheme (FES). Impact of different emerging parameters has been displayed graphically and the physics behind the observed phenomena is explained in detail. The convergence of FES is established by carrying the grid independent survey. From the performed investigation, it is recorded that the parameters appear due to Hall and Ion slip currents enhance the fluid velocity but the inverse behavior is recorded for temperature profile.
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Solar energy optimization in solar-HVAC using Sutterby hybrid nanofluid with Smoluchowski temperature conditions: a solar thermal application. Sci Rep 2022; 12:11484. [PMID: 35798787 PMCID: PMC9262953 DOI: 10.1038/s41598-022-15685-7] [Citation(s) in RCA: 10] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/21/2022] [Accepted: 06/28/2022] [Indexed: 11/18/2022] Open
Abstract
In solar heating, ventilation, and air conditioning (HVAC), communications are designed to create new 3D mathematical models that address the flow of rotating Sutterby hybrid nanofluids exposed to slippery and expandable seats. The heat transmission investigation included effects such as copper and graphene oxide nanoparticles, as well as thermal radiative fluxing. The activation energy effect was used to investigate mass transfer with fluid concentration. The boundary constraints utilized were Maxwell speed and Smoluchowksi temperature slippage. With the utilization of fitting changes, partial differential equations (PDEs) for impetus, energy, and concentricity can be decreased to ordinary differential equations (ODEs). To address dimensionless ODEs, MATLAB’s Keller box numerical technique was employed. Graphene oxide Copper/engine oil (GO-Cu/EO) is taken into consideration to address the performance analysis of the current study. Physical attributes, for example, surface drag coefficient, heat move, and mass exchange are mathematically processed and shown as tables and figures when numerous diverse factors are varied. The temperature field is enhanced by an increase in the volume fraction of copper and graphene oxide nanoparticles, while the mass fraction field is enhanced by an increase in activation energy.
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Editorial for the Special Issue on Micromachines for Non-Newtonian Microfluidics. MICROMACHINES 2022; 13:mi13060906. [PMID: 35744520 PMCID: PMC9230888 DOI: 10.3390/mi13060906] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Subscribe] [Scholar Register] [Received: 06/03/2022] [Accepted: 06/06/2022] [Indexed: 11/17/2022]
Abstract
Microfluidics has seen a remarkable growth over the past few decades, with its extensive applications in engineering, medicine, biology, chemistry, etc [...].
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Raja MAZ, Awan SE, Shoaib M, Awais M. Backpropagated Intelligent Networks for the Entropy Generation and Joule Heating in Hydromagnetic Nanomaterial Rheology Over Surface with Variable Thickness. ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING 2022. [DOI: 10.1007/s13369-022-06667-y] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/19/2022]
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Abd-Alla AM, Thabet EN, Bayones FS. Numerical solution for MHD peristaltic transport in an inclined nanofluid symmetric channel with porous medium. Sci Rep 2022; 12:3348. [PMID: 35232981 PMCID: PMC8888675 DOI: 10.1038/s41598-022-07193-5] [Citation(s) in RCA: 12] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/25/2021] [Accepted: 02/07/2022] [Indexed: 11/09/2022] Open
Abstract
The significance of the study is to determine of transferred heat and mass impact on the magneto-hydrodynamic peristalsis of Jeffery nanofluid through porous media with inclined symmetric channels whose walls are induced by peristaltic motion within porous media. The aim of this investagtion is to study the influence of various types of parameters such as Brownian motion, thermophoresis, buoyancy forces, and magnetic fields are studies on concentration, temperature, and axial velocity. The numerical solution has been achieved according to the long-wavelength and low Reynolds number approximation utilizing the MATLAB bvp4c function. The resultant dimensions of nonlinear governing equations were approached numerically through the Runge–Kutta- Fehlberg integration scheme, a MATLAB program. The influence of different factors such as the ratio of relaxation to retardation times, nanoparticle Grashof number, and magnetic field was discussed on concentration, temperature, and velocity profiles. tables and graphs were used to demonstrate the numerically computed numerical results. Plotting graphs were utilized for evaluating the pertinent parameters impacts on the aforementioned quantities based on computational results. According to the findings, the effect of the parameters are significant.
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Affiliation(s)
- A M Abd-Alla
- Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt
| | - Esraa N Thabet
- Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt.
| | - F S Bayones
- Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif, 21944, Saudi Arabia
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