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Alharbi KAM, Ramzan M, Shahmir N, Ghazwani HAS, Elmasry Y, Eldin SM, Bilal M. Comparative appraisal of mono and hybrid nanofluid flows comprising carbon nanotubes over a three-dimensional surface impacted by Cattaneo-Christov heat flux. Sci Rep 2023; 13:7964. [PMID: 37198300 DOI: 10.1038/s41598-023-34686-8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/01/2022] [Accepted: 05/05/2023] [Indexed: 05/19/2023] Open
Abstract
Carbon nanotubes (CNTs) are nanoscale tubes made of carbon atoms with unique mechanical, electrical, and thermal properties. They have a variety of promising applications in electronics, energy storage, and composite materials and are found as single-wall carbon nanotubes (SWCNTs) and double-wall carbon nanotubes (DWCNTs). Considering such alluring attributes of nanotubes, the motive of the presented flow model is to compare the thermal performance of magnetohydrodynamic (MHD) mono (SWCNTs)/Ethylene glycol) and hybrid (DWCNTs- SWCNTs/Ethylene glycol) nanofluids over a bidirectional stretching surface. The thermal efficiency of the proposed model is gauged while considering the effects of Cattaneo-Christov heat flux with prescribed heat flux (PHF) and prescribed surface temperature (PST). The flow is assisted by the anisotropic slip at the boundary of the surface. The system of partial differential equations (PDEs) is converted into a nonlinear ordinary differential system by the use of similarity transformations and handled using the bvp4c numerical technique. To depict the relationship between the profiles and the parameters, graphs, and tables are illustrated. The significant outcome revealed that the fluid temperature rises in the scenario of both PST and PHF cases. In addition, the heat transfer efficiency of the hybrid nanoliquid is far ahead of the nanofluid flow. The truthfulness of the envisioned model in the limiting scenario is also given.
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Affiliation(s)
- Khalid Abdulkhaliq M Alharbi
- Mechanical Engineering Department, College of Engineering, Umm Al-Qura University, 24382, Mecca, Kingdom of Saudi Arabia
| | - Muhammad Ramzan
- Department of Computer Science, Bahria University, Islamabad, 44000, Pakistan.
| | - Nazia Shahmir
- Department of Computer Science, Bahria University, Islamabad, 44000, Pakistan
| | - Hassan Ali S Ghazwani
- Department of Mechanical Engineering, Faculty of Engineering, Jazan University, 45124, Jazan, Kingdom of Saudi Arabia
| | - Yasser Elmasry
- Department of Mathematics, College of Sciences, King Khalid University, 61413, Abha, Saudi Arabia
- Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut, Egypt
| | - Sayed M Eldin
- Center of Research, Faculty of Engineering, Future University in Egypt, New Cairo, 11835, Egypt
| | - Muhammad Bilal
- Department of Mathematics, University of Chenab, Gujrat, 50700, Pakistan
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Arshad M, Alharbi FM, Hassan A, Haider Q, Alhushaybari A, Eldin SM, Ahmad Z, Al-Essa LA, Galal AM. Effect of inclined magnetic field on radiative heat and mass transfer in chemically reactive hybrid nanofluid flow due to dual stretching. Sci Rep 2023; 13:7828. [PMID: 37188712 DOI: 10.1038/s41598-023-34871-9] [Citation(s) in RCA: 3] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/22/2023] [Accepted: 05/09/2023] [Indexed: 05/17/2023] Open
Abstract
This research analyzes the three-dimensional magneto hydrodynamic nanofluid flow through chemical reaction and thermal radiation above the dual stretching surface in the presence of an inclined magnetic field. Different rotational nanofluid and hybrid nanofluids with constant angular velocity [Formula: see text] for this comparative study are considered. The constitutive relations are used to gain the equations of motion, energy, and concentration. This flow governing extremely non-linear equations cannot be handled by an analytical solution. So, these equations are transformed into ordinary differential equalities by using the similarity transformation and then handled in MATLAB by applying the boundary values problem practice. The outcomes for the considered problem are accessed through tables and graphs for different parameters. A maximum heat transfer amount is observed in the absence of thermal radiation and when the inclined magnetic field and axis of rotation are parallel.
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Affiliation(s)
- Mubashar Arshad
- Department of Mathematics, University of Gujrat, Gujrat, 50700, Pakistan.
| | - Fahad M Alharbi
- Department of Mathematics, Al-Qunfudah University College, Umm Al-Qura University, Mecca, Saudi Arabia
| | - Ali Hassan
- Department of Mathematics, University of Gujrat, Gujrat, 50700, Pakistan
| | - Qusain Haider
- Department of Mathematics, University of Gujrat, Gujrat, 50700, Pakistan
| | - Abdullah Alhushaybari
- Department of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif, 21944, Saudi Arabia
| | - Sayed M Eldin
- Center of Research, Faculty of Engineering, Future University in Egypt, New Cairo, 11835, Egypt
| | - Zubair Ahmad
- Unit of Bee Research and Honey Production, Faculty of Science, King Khalid University, P.O. Box 9004, Abha, 61413, Saudi Arabia
- Applied College, Mahala Campus, King Khalid University, P.O. Box 9004, Abha, 61413, Saudi Arabia
| | - Laila A Al-Essa
- Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh, 11671, Saudi Arabia
| | - Ahmed M Galal
- Department of Mechanical Engineering, College of Engineering in Wadi Alddawasir, Prince Sattam bin Abdulaziz University, Wadi Alddawasir, Saudi Arabia
- Production Engineering and Mechanical Design Department, Faculty of Engineering, Mansoura University, P.O. 35516, Mansoura, Egypt
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Effect of thermal radiation on convective heat transfer in MHD boundary layer Carreau fluid with chemical reaction. Sci Rep 2023; 13:4117. [PMID: 36914731 PMCID: PMC10011540 DOI: 10.1038/s41598-023-31151-4] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/08/2022] [Accepted: 03/07/2023] [Indexed: 03/14/2023] Open
Abstract
The temperature dependent thermophysical fluid properties have numerous aspects in different industries and engineering processes in which heat transmission is based on fluid flow. For such heat transmission processes, heat transmission system is highly fluctuated with variation of viscosity. Thus, the aim of this study is to investigate the transfer of heat in magnetized Carreau fluid with chemical reaction and under influence of thermal radiation over nonlinear stretching/shrinking surface. Additionally, we have incorporated variable heat dependent thermophysical properties to analyze the heat transfer in magnetized Carreau fluid. Set of flow governing non linear PDE's are obtained using Carreau fluid tensor and boundary layer approximation (BLA) theory. Dimensionless set of ODE's are obtained using suitable similarity transforms. Shooting method in conjunction with Newton's method have been utilized to solve the problem. It is noted that when stretching [Formula: see text] is significant with strictly increasing mass suction [Formula: see text] shear stress rate increase with minor levels and sharp increase has been observed in Nusselt number, whereas in shrinking case [Formula: see text] shear stress and heat transfer coefficient values are improved raising the value of [Formula: see text] mass suction. Further, raising the values of power law index [Formula: see text] produce reduced skin friction over stretching surface [Formula: see text] while skin friction dramatically enhance in shrinking case [Formula: see text]. It is observed that raising the non-linearity [Formula: see text] values for stretching or shrinking, skin friction and Nusselt number considerably improved. Moreover, computational outcomes of the study are validated with already published previous results and the results obtained in this study are found in good agreement.
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Arshad M, Hassan A, Haider Q, Alharbi FM, Alsubaie N, Alhushaybari A, Burduhos-Nergis DP, Galal AM. Rotating Hybrid Nanofluid Flow with Chemical Reaction and Thermal Radiation between Parallel Plates. NANOMATERIALS (BASEL, SWITZERLAND) 2022; 12:nano12234177. [PMID: 36500800 PMCID: PMC9735731 DOI: 10.3390/nano12234177] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/26/2022] [Revised: 11/15/2022] [Accepted: 11/21/2022] [Indexed: 05/28/2023]
Abstract
This research investigates the two different hybrid nanofluid flows between two parallel plates placed at two different heights, y0 and yh, respectively. Water-based hybrid nanofluids are obtained by using Al2O3, TiO2 and Cu as nanoparticles, respectively. The upper-level plate is fixed, while the lower-level plate is stretchable. The fluid rotates along the y-axis. The governing equations of momentum, energy and concentration are transformed into partial differential equations by using similarity transformations. These transformed equations are grasped numerically at MATLAB by using the boundary value problem technique. The influence of different parameters are presented through graphs. The numerical outcomes for rotation, Nusselt, Prandtl, and Schmidt numbers are obtained in the form of tables. The heat transfer rate increases by augmentation in the thermophoresis parameter, while it decays by increasing the Reynolds number. Oxide nanoparticles hybrid nanofluid proved more efficient as compared to mixed nanoparticles hybrid nanofluid. This research suggests using oxide nanoparticles for good heat transfer.
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Affiliation(s)
- Mubashar Arshad
- Department of Mathematics, University of Gujrat, Gujrat 50700, Pakistan
| | - Ali Hassan
- Department of Mathematics, University of Gujrat, Gujrat 50700, Pakistan
| | - Qusain Haider
- Department of Mathematics, University of Gujrat, Gujrat 50700, Pakistan
| | - Fahad M. Alharbi
- Department of Mathematics, Al-Qunfudah University College, Umm Al-Qura University, Mecca, Saudi Arabia
| | - Najah Alsubaie
- Department of Computer Sciences, College of Computer and Information Sciences, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
| | - Abdullah Alhushaybari
- Department of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
| | | | - Ahmed M. Galal
- Department of Mechanical Engineering, College of Engineering in Wadi Alddawasir, Prince Sattam bin Abdulaziz University, Saudi Arabia
- Production Engineering and Mechanical Design Department, Faculty of Engineering, Mansoura University, Mansoura P.O. Box 35516, Egypt
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Shah SAGA, Hassan A, Alsubaie N, Alhushaybari A, Alharbi FM, Galal AM, Burduhos-Nergis DP, Bejinariu C. Convective Heat Transfer in Magneto-Hydrodynamic Carreau Fluid with Temperature Dependent Viscosity and Thermal Conductivity. NANOMATERIALS (BASEL, SWITZERLAND) 2022; 12:4084. [PMID: 36432369 PMCID: PMC9692877 DOI: 10.3390/nano12224084] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 10/27/2022] [Revised: 11/13/2022] [Accepted: 11/18/2022] [Indexed: 06/16/2023]
Abstract
This study is aimed to explore the magneto-hydrodynamic Carreau fluid flow over a stretching/shrinking surface with a convectively heated boundary. Temperature-dependent variable thermophysical properties are utilized to formulate the problem. The flow governing equations are obtained with boundary layer approximation and constitutive relation of the Carreau fluid. The shooting method is utilized to obtain graphical and numeric outcomes. Additionally, initial guesses are generated with the help of Newton's method. The effect of Weissenberg number, Magnetization, stretching ratio, Prandtl number, suction/blowing parameter, and Lewis number is obtained on velocity, temperature and species continuity profile and analyzed. Shear stress rates and Nusselt number outcomes under body forces influences are present in tabulated data and discussed. It is observed that in absence of magnetization force, B = 0 and strong mass suction 5≤S≤7.5 effect high rates of Nusselt number is obtained. It is concluded that under the influence of power law index and non-linearity parameter maximum heat transfer and reduced shear stress rates are obtained.
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Affiliation(s)
- Syed Amir Ghazi Ali Shah
- Department of Mathematics, Capital University of Science and Technology, Islamabad 46000, Pakistan
| | - Ali Hassan
- Department of Mathematics, University of Gujrat, Gujrat 50700, Pakistan
| | - Najah Alsubaie
- Department of Computer Sciences, College of Computer and Information Sciences, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
| | - Abdullah Alhushaybari
- Department of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
| | - Fahad M. Alharbi
- Department of Mathematics, Al-Qunfudah University College, Umm Al-Qura University, Mecca 28821, Saudi Arabia
| | - Ahmed M. Galal
- Department of Mechanical Engineering, College of Engineering in Wadi Alddawasir, Prince Sattam bin Abdulaziz University, Al-Kharj 16278, Saudi Arabia
- Production Engineering and Mechanical Design Department, Faculty of Engineering, Mansoura University, Mansoura P.O. 35516, Egypt
| | | | - Costica Bejinariu
- Faculty of Materials Science and Engineering, “Gheorghe Asachi” Technical University, 700050 Iasi, Romania
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Magneto-Hydrodynamic Flow above Exponentially Stretchable Surface with Chemical Reaction. Symmetry (Basel) 2022. [DOI: 10.3390/sym14081688] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022] Open
Abstract
This article is focused on investigating the convective magneto-hydrodynamic single-phase flow for comparative analysis of two different base fluids above an exponentially stretchable porous surface under the effect of the chemical reaction. The Buongiorno fluid model is incorporated to observe the Thermophoresis and Brownian diffusion in this study. Boussinesq approximation for temperature and concentration are accounted for flow to be naturally convective. In this study, water and ethanol are assumed for comparative analysis. Additionally, to achieve the outcomes of the designed three-dimensional flow boundary value, problem technique is employed to simulate the problem in MATLAB. Increase in the magnetic field, thermophoresis diffusion, temperature exponent, and Prandtl number expand thermal boundary, whereas contraction is observed with an increase in porosity. Shear stress rates in respective directions have decreased with an increase in the stretching ratio of the surface. Moreover, through comparison, reasonably enhanced Nusselt number is observed for water under influence of study parameters while the Nusselt number abruptly decreases for ethanol. High mass coefficients are observed for both examined fluids.
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Arshad M, Karamti H, Awrejcewicz J, Grzelczyk D, Galal AM. Thermal Transmission Comparison of Nanofluids over Stretching Surface under the Influence of Magnetic Field. MICROMACHINES 2022; 13:mi13081296. [PMID: 36014219 PMCID: PMC9412679 DOI: 10.3390/mi13081296] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/13/2022] [Revised: 08/03/2022] [Accepted: 08/06/2022] [Indexed: 05/28/2023]
Abstract
Heat transfer at industrial levels has been revolutionized with the advancement of nanofluid and hybrid nanofluid. Keeping this development in view, this article aims to present the rate of heat transfer for conventional and hybrid nanofluids, incorporating the Hall Effect over a stretchable surface. The flow governing equations are obtained with the help of suitable assumptions, and the problem is attempted with the boundary value problem technique in MATLAB. The highly non-linear partial differential equations are transformed into non-dimensional forms using suitable similarity transforms. The criterion of convergence for solution or tolerance of a problem is adjusted to 10-7. Water is considered as a base fluid; copper (Cu) and silver (Ag) nanoparticles are mixed to obtain nanofluid. This novel work is incorporated for conventional and hybrid nanofluid with the effect of Hall current above the stretching/shrinking surface. Increasing the Stefan blowing parameter reduces the flow rate; it increases the heat transfer rate and nano-particle concentration of conventional and hybrid nanofluid. Both velocity components decreases by increasing the magnetic field. The Hall Effect also decreases the velocity of nanofluid. The outcomes are compared to previously published work, demonstrating that the existing study is legitimate. The heat transfer rate of the hybrid nanofluid is higher than the convential nanofluid. This study suggests more frequent use of hybrid nanofluid because of high heat transfer rates and reduced skin friction.
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Affiliation(s)
- Mubashar Arshad
- Department of Mathematics, University of Gujrat, Gujrat 50700, Pakistan
| | - Hanen Karamti
- Department of Computer Sciences, College of Computer and Information Sciences, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
| | - Jan Awrejcewicz
- Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 90-924 Lodz, Poland
| | - Dariusz Grzelczyk
- Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 90-924 Lodz, Poland
| | - Ahmed M. Galal
- Department of Mechanical Engineering, College of Engineering in Wadi Alddawasir, Prince Sattam Bin Abdulaziz University, P.O. Box 18734, Wadi Addawasir 11942, Saudi Arabia
- Production Engineering and Mechanical Design Department, Faculty of Engineering, Mansoura University, Mansoura P.O. Box 35516, Egypt
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Haider Q, Hussain A, Rehman A, Ashour A, Althobaiti A. Mass and Heat Transport Assessment and Nanomaterial Liquid Flowing on a Rotating Cone: A Numerical Computing Approach. NANOMATERIALS 2022; 12:nano12101700. [PMID: 35630922 PMCID: PMC9145965 DOI: 10.3390/nano12101700] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 03/25/2022] [Revised: 04/26/2022] [Accepted: 05/05/2022] [Indexed: 11/30/2022]
Abstract
In the present study, we explore the time-dependent convectional flow of a rheological nanofluid over a turning cone with the consolidated impacts of warmth and mass exchange. It has been shown that if the angular velocity at the free stream and the cone’s angular velocity differ inversely as a linear time function, a self-similar solution can be obtained. By applying sufficient approximation to the boundary layer, the managed conditions of movement, temperature, and nanoparticles are improved; afterward, the framework is changed to a non-dimensional framework utilizing proper comparability changes. A numerical solution for the obtained system of governing equations is achieved. The effect of different parameters on the velocity, temperature, and concentration profiles are discussed. Tangential velocity is observed to decrease with an increase in the Deborah number, whereas tangential velocity increases with increasing values of the angular velocity ratio, relaxation to the retardation time ratio, and buoyancy parameter. Expansion in the Prandtl number is noted to decrease the boundary layer temperature and thickness. The temperature is seen to decrease with an expansion in the parameters of lightness, thermophoresis parameter, and Brownian movement. It is discovered that the Nusselt number expands by expanding the lightness parameter and Prandtl number, whereas it increases by decreasing the Deborah number. We also noticed that the Sherwood number falls incrementally in Deborah and Prandtl numbers, but it upsurges with an increase in the buoyancy parameter.
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Affiliation(s)
- Qusain Haider
- Department of Mathematics, University of Gujrat, Gujrat 50700, Pakistan;
- Correspondence: (Q.H.); (A.R.)
| | - Azad Hussain
- Department of Mathematics, University of Gujrat, Gujrat 50700, Pakistan;
| | - Aysha Rehman
- Department of Mathematics, University of Gujrat, Gujrat 50700, Pakistan;
- Correspondence: (Q.H.); (A.R.)
| | - Ahmed Ashour
- Engineering Mathematics and Physics Department, Faculty of Engineering and Technology, Future University in Egypt, New Cairo 11845, Egypt;
| | - Ali Althobaiti
- Department of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia;
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A Benchmark Evaluation of the isoAdvection Interface Description Method for Thermally–Driven Phase Change Simulation. NANOMATERIALS 2022; 12:nano12101665. [PMID: 35630887 PMCID: PMC9145428 DOI: 10.3390/nano12101665] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 03/28/2022] [Revised: 05/03/2022] [Accepted: 05/05/2022] [Indexed: 11/25/2022]
Abstract
A benchmark study is conducted using isoAdvection as the interface description method. In different studies for the simulation of the thermal phase change of nanofluids, the Volume of Fluid (VOF) method is a contemporary standard to locate the interface position. One of the main drawbacks of VOF is the smearing of the interface, leading to the generation of spurious flows. To solve this problem, the VOF method can be supplemented with a recently introduced geometric method called isoAdvection. We study four benchmark cases that show how isoAdvection affects the simulation results and expose its relative strengths and weaknesses in different scenarios. Comparisons are made with VOF employing the Multidimensional Universal Limiter for Explicit Solution (MULES) limiter and analytical data and experimental correlations. The impact of nanoparticles on the base fluid are considered using empirical equations from the literature. The benchmark cases are 1D and 2D boiling and condensation problems. Their results show that isoAdvection (with isoAlpha reconstruct scheme) delivers a faster solution than MULES while maintaining nearly the same accuracy and convergence rate in the majority of thermal phase change scenarios.
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Heat Transfer Analysis of Nanostructured Material Flow over an Exponentially Stretching Surface: A Comparative Study. NANOMATERIALS 2022; 12:nano12071204. [PMID: 35407322 PMCID: PMC9002622 DOI: 10.3390/nano12071204] [Citation(s) in RCA: 12] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 02/03/2022] [Revised: 03/25/2022] [Accepted: 03/30/2022] [Indexed: 02/01/2023]
Abstract
The objective of the present research is to obtain enhanced heat and reduce skin friction rates. Different nanofluids are employed over an exponentially stretching surface to analyze the heat transfer coefficients. The mathematical model for the problem has been derived with the help of the Rivilin–Erickson tensor and an appropriate boundary layer approximation theory. The current problem has been tackled with the help of the boundary value problem algorithm in Matlab. The convergence criterion, or tolerance for this particular problem, is set at 10−6. The outcomes are obtained to demonstrate the characteristics of different parameters, such as the temperature exponent, volume fraction, and stretching ratio parameter graphically. Silver-water nanofluid proved to have a high-temperature transfer rate when compared with zinc-water and copper-water nanofluid. Moreover, the outcomes of the study are validated by providing a comparison with already published work. The results of this study were found to be in complete agreement with those of Magyari and Keller and also with Lui for heat transfer. The novelty of this work is the comparative inspection of enhanced heat transfer rates and reduced drag and lift coefficients, particularly for three nanofluids, namely, zinc-water, copper-water, and silver-water, over an exponentially stretching. In general, this study suggests more frequent exploitation of all the examined nanofluids, especially Ag-water nanofluid. Moreover, specifically under the obtained outcomes in this research, the examined nanofluid, Ag-water, has great potential to be used in flat plate solar collectors. Ag-water can also be tested in natural convective flat plate solar collector systems under real solar effects.
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