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Abbas N, Shatanawi W, Hasan F, Mustafa Z. Thermal analysis of radiative Sutterby nanofluid flow over stretching curved surface. Heliyon 2024; 10:e34056. [PMID: 39071661 PMCID: PMC11277362 DOI: 10.1016/j.heliyon.2024.e34056] [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: 07/12/2023] [Revised: 06/15/2024] [Accepted: 07/03/2024] [Indexed: 07/30/2024] Open
Abstract
In this analysis, Sutterby fluid model over a curved surface is considered. The main mechanisms that contribute to the improvement of the convection characteristics of the nanofluid are categorized as Brownian motion and thermophoresis. The radiation and slip mechanism have been studied at curved stretchable surface. The suction/injection impacts also studied. The partial differential equations are converted into ordinary differential equations through transformations. The numerical solution of the specified mathematical model is obtained using the built-in bvp4c tool in MATLAB. The effects of various parameters related to the system of ordinary differential equations are illustrated in the graphs. The influence of some intended parameters through the physical quantities are presented through tabular form.
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Affiliation(s)
- Nadeem Abbas
- Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh, 11586, Saudi Arabia
| | - Wasfi Shatanawi
- Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh, 11586, Saudi Arabia
- Department of Mathematics, Faculty of Science, The Hashemite University, P.O Box 330127, Zarqa, 13133, Jordan
- Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan
| | - Fady Hasan
- Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh, 11586, Saudi Arabia
| | - Zead Mustafa
- Department of Mathematics, Faculty of Science, The Hashemite University, P.O Box 330127, Zarqa, 13133, Jordan
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Yahya AU, Eldin SM, Alfalqui SH, Ali R, Salamat N, Siddique I, Abdal S. Computations for efficient thermal performance of Go + AA7072 with engine oil based hybrid nanofluid transportation across a Riga wedge. Heliyon 2023; 9:e17920. [PMID: 37483717 PMCID: PMC10362166 DOI: 10.1016/j.heliyon.2023.e17920] [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: 10/17/2022] [Revised: 07/01/2023] [Accepted: 07/01/2023] [Indexed: 07/25/2023] Open
Abstract
The demand for efficient heat transportation for the reliable functioning of mechanical processes is rising. The hybrid nanofluid emulsion is a related new concept in this research field. This communication pertains to mass and thermal transportation of Graphene oxide (Go) + AA7072 to be dissolved homogeneously in the bulk engine oil. In order to demonstrate the effectiveness of this hybrid nanofluid, a simple nanofluid Go/engine oil is also discussed. The flow of fluids occurs due to stretch in the wedge adjusted with Riga surface. The design of a hybrid nanofluid manifests the novelty of the work. The system of partial differential equations that are based on conservation principles of energy, momentum, and mass are transmuted to ordinary differential form. Numerical simulation is carried out on the Matlab platform by employing the Runge-Kutta approach along with a shooting tool. The influential parameters are varied to disclose the nature of physical quantities. The flow is accelerated with higher attributes of the modified Hartmann number, but it decelerates against the Weinberg number. The fluid's temperature rises with increment, in the concentration of nano-entities. The velocity for hybrid nanofluids is slower than that of mono nanofluids and the temperature distribution for hybrid nanofluids is greater than that of mono nanofluids. The fluid temperature increases with the concentration ϕ2 of AA7072.
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Affiliation(s)
- Asmat Ullah Yahya
- Department of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, Pakistan
| | - Sayed M Eldin
- Center of Research, Faculty of Engineering, Future University in Egypt, New Cairo 11835, Egypt
| | - Suleman H Alfalqui
- Department of Mathematics, College of Science and Arts, King Khalid University, Muhayil 61413, Abha, Saudi Arabia
| | - Rifaqat Ali
- Department of Mathematics, College of Science and Arts, King Khalid University, Muhayil 61413, Abha, Saudi Arabia
| | - Nadeem Salamat
- Department of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, Pakistan
| | - Imran Siddique
- Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan
| | - Sohaib Abdal
- Department of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, Pakistan
- School of Mathematics, Northwest University, No.229 North Taibai Avenue, Xi'an 7100069, China
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Ishtiaq B, Nadeem S, Alzabut J. Effects of variable magnetic field and partial slips on the dynamics of Sutterby nanofluid due to biaxially exponential and nonlinear stretchable sheets. Heliyon 2023; 9:e17921. [PMID: 37455975 PMCID: PMC10344768 DOI: 10.1016/j.heliyon.2023.e17921] [Citation(s) in RCA: 4] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/11/2023] [Revised: 06/28/2023] [Accepted: 07/01/2023] [Indexed: 07/18/2023] Open
Abstract
Based on both the characteristics of shear thinning and shear thickening fluids, the Sutterby fluid has various applications in engineering and industrial fields. Due to the dual nature of the Sutterby fluid, the motive of the current study is to scrutinize the variable physical effects on the Sutterby nanofluid flow subject to shear thickening and shear thinning behavior over biaxially stretchable exponential and nonlinear sheets. The steady flow mechanism with the variable magnetic field, partial slip effects, and variable heat source/sink is examined over both stretchable sheets. The analysis of mass and heat transfer is carried out with the mutual impacts of thermophoresis and Brownian motion through the Buongiorno model. Suitable transformations for both exponential and nonlinear sheets are implemented on the problem's constitutive equations. As a result, the nonlinear setup of ordinary differential equations is acquired which is further numerically analyzed through the bvp4c technique in MATLAB. The graphical explanation of temperature, velocity, and concentration distributions exhibits that the exponential sheet provides more significant results as compared to the nonlinear sheet. Further, this study revealed that for the shear thickening behavior of Sutterby nanofluid, the increasing values of Deborah number increase the axial velocity.
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Affiliation(s)
- Bushra Ishtiaq
- Department of Mathematics, Quaid-I-Azam University, 45320, Islamabad, 44000, Pakistan
| | - Sohail Nadeem
- Department of Mathematics, Quaid-I-Azam University, 45320, Islamabad, 44000, Pakistan
- Department of Mathematics and Sciences, Prince Sultan University, 11586, Riyadh, Saudi Arabia
| | - Jehad Alzabut
- Department of Mathematics and Sciences, Prince Sultan University, 11586, Riyadh, Saudi Arabia
- Department of Industrial Engineering, OSTIM Technical University, Ankara, 06374, Turkey
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Bioconvection of MHD Second-Grade Fluid Conveying Nanoparticles over an Exponentially Stretching Sheet: A Biofuel Applications. ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING 2022. [DOI: 10.1007/s13369-022-07129-1] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/02/2022]
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Siddique I, Abdal S, Din ISU, Awrejcewicz J, Pawłowski W, Hussain S. Significance of concentration-dependent viscosity on the dynamics of tangent hyperbolic nanofluid subject to motile microorganisms over a non-linear stretching surface. Sci Rep 2022; 12:12765. [PMID: 35896639 PMCID: PMC9329284 DOI: 10.1038/s41598-022-16601-9] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/05/2021] [Accepted: 07/12/2022] [Indexed: 11/27/2022] Open
Abstract
The communication describes a theoretical framework for tangent hyperbolic fluid of nano-biofilm due to an extending or shrinking sheet that comprises a stagnation point flow, chemical reaction with activation energy, and bioconvection of gyrotactic microorganisms. The varying transport features due to dynamic viscosity, thermal conductivity, nano-particle mass permeability and microbe organisms diffusivity are taken into account for the novelty of this work. The inspiration is developed to enhance heat transfer. A set of leading partial differential equations is formed along with appropriate boundary constraints. Using similarity transformations, the basic formulation is transitioned into non-linear differential equations. To produce observational data, the shooting technique and Runge-Kutta fourth order method are employed. The coding of numerical scheme is developed in Matlab script. The visual representation of the effects of diverse fluid transport properties and distinctive parameters on speed, temperature, concentration and motile density are evaluated. The velocity become faster when the parameters [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] are enhanced. Brownian motion, thermal conductivity, heat generation as well as thermophoresis factors all strengthen the temperature distribution, however the nano-particle concentration profile is enhanced as the nano-particle mass conductivity variable, activation energy as well as the thermophoresis variable are boosted. The microorganism density improves significantly when the microorganism diffusivity factor increases. The skin friction, Sherwood number, Nusselt number and motile density number decline against the incremented transport parameters.
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Affiliation(s)
- Imran Siddique
- Department of Mathematics, University of Management and Technology, Lahore, 54770, Pakistan.
| | - Sohaib Abdal
- Department of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, Pakistan
- School of Mathematics, Northwest University, No. 229 North Taibai Avenue, Xi'an, 7100069, China
| | - Irfan Saif Ud Din
- Department of Mathematics, University of Management and Technology, Lahore, 54770, Pakistan
| | - Jan Awrejcewicz
- Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowskiego St., 90-924, Lodz, Poland
| | - Witold Pawłowski
- Institute of Machine Tools and Production Engineering, Lodz University of Technology, Lodz, Poland
| | - Sajjad Hussain
- School of Aerospace and Mechanical Engineering, Nanyang Technological University, Singapore, Singapore
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On Thermal Distribution for Darcy–Forchheimer Flow of Maxwell Sutterby Nanofluids over a Radiated Extending Surface. NANOMATERIALS 2022; 12:nano12111834. [PMID: 35683689 PMCID: PMC9181986 DOI: 10.3390/nano12111834] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 02/09/2022] [Revised: 03/01/2022] [Accepted: 03/03/2022] [Indexed: 11/16/2022]
Abstract
This study addresses thermal transportation associated with dissipated flow of a Maxwell Sutterby nanofluid caused by an elongating surface. The fluid passes across Darcy–Forchheimer sponge medium and it is affected by electromagnetic field applied along the normal surface. Appropriate similarity transforms are employed to convert the controlling partial differential equations into ordinary differential form, which are then resolved numerically with implementation of Runge–Kutta method and shooting approach. The computational analysis for physical insight is attempted for varying inputs of pertinent parameters. The output revealed that the velocity of fluid for shear thickening is slower than that of shear thinning. The fluid temperature increases directly with Eckert number, and parameters of Cattaneo–Christov diffusion, radiation, electric field, magnetic field, Brownian motion and thermophoresis. The Nusselt number explicitly elevated as the values of radiation and Hartmann number, as well as Brownian motion, improved. The nanoparticle volume fraction diminishes against Prandtl number and Lewis number.
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