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Kumar P, Nagaraja B, Almeida F, AjayKumar AR, Al-Mdallal Q, Jarad F. Magnetic dipole effects on unsteady flow of Casson-Williamson nanofluid propelled by stretching slippery curved melting sheet with buoyancy force. Sci Rep 2023; 13:12770. [PMID: 37550414 PMCID: PMC10406858 DOI: 10.1038/s41598-023-39354-5] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/01/2023] [Accepted: 07/24/2023] [Indexed: 08/09/2023] Open
Abstract
In particular, the Cattaneo-Christov heat flux model and buoyancy effect have been taken into account in the numerical simulation of time-based unsteady flow of Casson-Williamson nanofluid carried over a magnetic dipole enabled curved stretching sheet with thermal radiation, Joule heating, an exponential heat source, homo-heterogenic reactions, slip, and melting heat peripheral conditions. The specified flow's partial differential equations are converted to straightforward ordinary differential equations using similarity transformations. The Runge-Kutta-Fehlberg 4-5th order tool has been used to generate solution graphs for the problem under consideration. Other parameters are simultaneously set to their default settings while displaying the solution graphs for all flow defining profiles with the specific parameters. Each produced graph has been the subject of an extensive debate. Here, the analysis shows that the thermal buoyancy component boosts the velocity regime. The investigation also revealed that the melting parameter and radiation parameter had counterintuitive effects on the thermal profile. The velocity distribution of nanofluid flow is also slowed down by the ferrohydrodynamic interaction parameter. The surface drag has decreased as the unsteadiness parameter has increased, while the rate of heat transfer has increased. To further demonstrate the flow and heat distribution, graphical representations of streamlines and isotherms have been offered.
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Affiliation(s)
- Pradeep Kumar
- Department of Mathematics, School of Engineering, Presidency University, Rajanakunte, Yelahanka, Bengaluru, Karnataka, 560064, India
| | - Basavarajappa Nagaraja
- Department of Mathematics, School of Engineering, Presidency University, Rajanakunte, Yelahanka, Bengaluru, Karnataka, 560064, India
| | - Felicita Almeida
- Department of Mathematics, School of Engineering, Presidency University, Rajanakunte, Yelahanka, Bengaluru, Karnataka, 560064, India
| | | | - Qasem Al-Mdallal
- Department of Mathematical Sciences, UAE University, P.O. Box 17551, Al-Ain, United Arab Emirates.
| | - Fahd Jarad
- Department of Mathematics, Çankaya University, 06790, Ankara, Turkey.
- Department of Medical Research, China Medical University, Taichung, 40402, Taiwan.
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Ashraf W, Khan I, Shemseldin MA, Mousa AAA. Numerical Energy Storage Efficiency of MWCNTs-Propylene Glycol by Inducing Thermal Radiations and Combined Convection Effects in the Constitutive Model. Front Chem 2022; 10:879276. [PMID: 35707459 PMCID: PMC9189928 DOI: 10.3389/fchem.2022.879276] [Citation(s) in RCA: 5] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/19/2022] [Accepted: 03/24/2022] [Indexed: 11/13/2022] Open
Abstract
This study examines MWCNTs-PG nanofluid with a uniform dispersion of MWCNTs in PG. It is assumed that both MWCNTs and PG exist thermally in equilibrium and no slip occurs between them. MWCNTs were suspended in PG uniformly and played a significant role. Firstly, the problem is formulated by utilizing empirical correlations, thermophysical attributes, and similarity equations. Then the model is treated numerically along with the coupling of a shooting algorithm. The results against the pertinent flow quantities were plotted and provide a basis for a comprehensive discussion, investigating whether MWCNTs-PG has high thermal storage characteristics under the effects of thermal radiation and combined convection effects. Due to their high energy storage capability, these fluids are reliable for industrial applications.
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Affiliation(s)
- Waqas Ashraf
- Departmment of Applied Mathematics and Statistics, Institute of Space Technology (IST), Islamabad, Pakistan
| | - Ilyas Khan
- Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah, Saudi Arabia
| | - Mohamed A Shemseldin
- Mechanical Engineering Department, Faculty of Engineering and Technology, Future University in Egypt, New Cairo, Egypt
| | - Abd Allah A Mousa
- Department of Mathematics and Statistics, College of Science, Taif University, Taif, Saudi Arabia
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Xia WF, Hafeez MU, Khan MI, Shah NA, Chung JD. Entropy optimized dissipative flow of hybrid nanofluid in the presence of non-linear thermal radiation and Joule heating. Sci Rep 2021; 11:16067. [PMID: 34373556 PMCID: PMC8352987 DOI: 10.1038/s41598-021-95604-4] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/01/2021] [Accepted: 07/13/2021] [Indexed: 11/21/2022] Open
Abstract
Present article reads three dimensional flow analysis of incompressible viscous hybrid nanofluid in a rotating frame. Ethylene glycol is used as a base liquid while nanoparticles are of copper and silver. Fluid is bounded between two parallel surfaces in which the lower surface stretches linearly. Fluid is conducting hence uniform magnetic field is applied. Effects of non-linear thermal radiation, Joule heating and viscous dissipation are entertained. Interesting quantities namely surface drag force and Nusselt number are discussed. Rate of entropy generation is examined. Bvp4c numerical scheme is used for the solution of transformed O.D.Es. Results regarding various flow parameters are obtained via bvp4c technique in MATLAB Software version 2019, and displayed through different plots. Our obtained results presents that velocity field decreases with respect to higher values of magnetic parameter, Reynolds number and rotation parameter. It is also observed that the temperature field boots subject to radiation parameter. Results are compared with Ishak et al. (Nonlinear Anal R World Appl 10:2909–2913, 2009) and found very good agreement with them. This agreement shows that the results are 99.99% match with each other.
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Affiliation(s)
- Wei-Feng Xia
- School of Engineering, Huzhou University, Huzhou, 313000, People's Republic of China
| | - M U Hafeez
- Department of Mathematics, Quaid-I-Azam University 45320, Islamabad, 44000, Pakistan
| | - M Ijaz Khan
- Department of Mathematics and Statistics, Riphah International University I-14, Islamabad, 44000, Pakistan.,Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia
| | - Nehad Ali Shah
- Department of Mechanical Engineering, Sejong University, Seoul, 05006, Korea. .,Department of Mathematics, Lahore Leads University, Lahore, Pakistan.
| | - Jae Dong Chung
- Department of Mechanical Engineering, Sejong University, Seoul, 05006, Korea
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On entropy generation effectiveness in flow of power law fluid with cubic autocatalytic chemical reaction. APPLIED NANOSCIENCE 2019. [DOI: 10.1007/s13204-019-01064-8] [Citation(s) in RCA: 26] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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Effectiveness of Magnetic Dipole and Framing the Performance of
$$\hbox {Fe}_{3}\hbox {O}_{4}$$
Fe
3
O
4
in Rotating Transport Influenced by Viscous Dissipation. ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING 2019. [DOI: 10.1007/s13369-018-3369-x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/14/2022]
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B. R, V. S, K. AK, J.V. RR. MHD flow of Carreau fluid over a variable thickness melting surface subject to Cattaneo-Christov heat flux. ACTA ACUST UNITED AC 2019. [DOI: 10.1108/mmms-12-2017-0169] [Citation(s) in RCA: 18] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
Abstract
Purpose
The purpose of this paper is to focus on MHD unsteady flow of Carreau fluid over a variable thickness melting surface in the presence of chemical reaction and non-uniform heat sink/source.
Design/methodology/approach
The flow governing partial differential equations are transformed into ordinary ones with the help of similarity transformations. The set of ODEs are solved by a shooting technique together with the R.K.–Fehlberg method. Further, the graphs are depicted to scrutinize the velocity, concentration and temperature fields of the Carreau fluid flow. The numerical values of friction factor, heat and mass transfer rates are tabulated.
Findings
The results are presented for both Newtonian and non-Newtonian fluid flow cases. The authors conclude that the nature of three typical fields and the physical quantities are alike in both cases. An increase in melting parameter slows down the velocity field and enhances the temperature and concentration fields. But an opposite outcome is noticed with thermal relaxation parameter. Also the elevating values of thermal relaxation parameter/ wall thickness parameter/Prandtl number inflate the mass and heat transfer rates.
Originality/value
This is a new research article in the field of heat and mass transfer in fluid flows. Cattaneo–Christov heat flux model is used. The surface of the flow is assumed to be melting.
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Impact of Brownian motion and thermophoresis on bioconvective flow of nanoliquids past a variable thickness surface with slip effects. ACTA ACUST UNITED AC 2019. [DOI: 10.1108/mmms-02-2018-0023] [Citation(s) in RCA: 42] [Impact Index Per Article: 8.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
Abstract
Purpose
The purpose of this paper is to scrutinize the heat and mass transfer attributes of three-dimensional bio convective flow of nanofluid across a slendering surface with slip effects. The analysis is carried out subject to irregular heat sink/source, thermophoresis and Brownian motion of nanoparticles.
Design/methodology/approach
At first, proper transmutations are pondered to metamorphose the basic flow equations as ODEs. The solution of these ODEs is procured by the consecutive application of Shooting and Runge-Kutta fourth order numerical procedures.
Findings
The usual flow fields along with density of motile microorganisms for sundry physical parameters are divulged via plots and scrutinized. Further, the authors analyzed the impact of same parameters on skin friction, heat and mass transfer coefficients and presented in tables. It is discovered that the variable heat sink/source parameters play a decisive role in nature of the heat and mass transfer rates. The density of motile microorganisms will improve if we add Al-Cu alloy particles in regular fluids instead of Al particles solely. A change in thermophoresis and Brownian motion parameters dominates heat and mass transfer performance.
Originality/value
To the best of the knowledge, no author made an attempt to investigate the flow of nanofluids over a variable thickness surface with bio-convection, Brownian motion and slip effects.
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Khan MI, Qayyum S, Hayat T, Alsaedi A, Khan MI. Investigation of Sisko fluid through entropy generation. J Mol Liq 2018. [DOI: 10.1016/j.molliq.2018.02.087] [Citation(s) in RCA: 49] [Impact Index Per Article: 8.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Khan MI, Waqas M, Hayat T, Khan MI, Alsaedi A. Numerical simulation of nonlinear thermal radiation and homogeneous-heterogeneous reactions in convective flow by a variable thicked surface. J Mol Liq 2017. [DOI: 10.1016/j.molliq.2017.09.075] [Citation(s) in RCA: 67] [Impact Index Per Article: 9.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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Ahmad B, Iqbal Z. Framing the performance of variation in resistance on viscous dissipative transport of ferro fluid with homogeneous and heterogeneous reactions. J Mol Liq 2017. [DOI: 10.1016/j.molliq.2017.06.077] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Hayat T, Shah F, Alsaedi A, Khan MI. Development of homogeneous/heterogeneous reaction in flow based through non-Darcy Forchheimer medium. JOURNAL OF THEORETICAL & COMPUTATIONAL CHEMISTRY 2017. [DOI: 10.1142/s0219633617500456] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
The objective here is to analyze the influence of homogeneous and heterogeneous reactions in flow induced by convectively heated sheet with nonlinear velocity and variable thickness. Porous medium effect is characterized by Darcy–Forchheimer consideration. A simple isothermal model of homogeneous–heterogeneous reactions is used to regulate the temperature of stretched surface. Thermodynamics processes of homogeneous–heterogeneous reactions analyze the effect of temperature phase changes. Resulting problems are computed for the convergent solutions of velocity, temperature and concentration. Analysis for the influential variables on the physical quantities is graphically examined. Our computed results interpret that velocity field decays for larger magnetic parameter while temperature field enhances for higher estimation of Biot number.
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Affiliation(s)
- Tasawar Hayat
- Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
- Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80257, Jeddah 21589, Saudi Arabia
| | - Faisal Shah
- Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
| | - Ahmed Alsaedi
- Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80257, Jeddah 21589, Saudi Arabia
| | - Muhammad Ijaz Khan
- Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
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14
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A 3D Sisko fluid flow with Cattaneo-Christov heat flux model and heterogeneous-homogeneous reactions: A numerical study. J Mol Liq 2017. [DOI: 10.1016/j.molliq.2017.04.059] [Citation(s) in RCA: 32] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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15
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A comparative study of Casson fluid with homogeneous-heterogeneous reactions. J Colloid Interface Sci 2017; 498:85-90. [DOI: 10.1016/j.jcis.2017.03.024] [Citation(s) in RCA: 592] [Impact Index Per Article: 84.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/14/2017] [Accepted: 03/03/2017] [Indexed: 11/23/2022]
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Tanveer A, Hayat T, Alsaedi A, Ahmad B. Mixed convective peristaltic flow of Sisko fluid in curved channel with homogeneous-heterogeneous reaction effects. J Mol Liq 2017. [DOI: 10.1016/j.molliq.2017.03.001] [Citation(s) in RCA: 37] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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17
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Mathematical modeling of non-Newtonian fluid with chemical aspects: A new formulation and results by numerical technique. Colloids Surf A Physicochem Eng Asp 2017. [DOI: 10.1016/j.colsurfa.2017.01.007] [Citation(s) in RCA: 78] [Impact Index Per Article: 11.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Khan MI, Waqas M, Hayat T, Alsaedi A. Magnetohydrodynamic (MHD) stagnation point flow of Casson fluid over a stretched surface with homogeneous–heterogeneous reactions. JOURNAL OF THEORETICAL & COMPUTATIONAL CHEMISTRY 2017. [DOI: 10.1142/s0219633617500225] [Citation(s) in RCA: 31] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
This article communicates the study of magnetohydrodynamic (MHD) stagnation point flow of Casson liquid towards a stretched surface. Chemical reaction model involving both heat and mass transfer is established. Effects of viscous dissipation and Joule heating are also considered. Appropriate transformations yield strong nonlinear ordinary differential system. The obtained nonlinear systems have been solved through built-in shooting method. Velocity field shows decreasing behavior for higher estimation of magnetic parameter while temperature field shows increasing behavior for larger homogeneous heat parameter. Graphical behaviors of velocity, temperature and concentration are analyzed comprehensively corresponding to various pertinent parameters.
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Affiliation(s)
- Muhammad Ijaz Khan
- Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
| | - Muhammad Waqas
- Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
| | - Tasawar Hayat
- Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
- Nonlinear Analysis and Applied Mathematics (NAAM), Research Group, Faculty of Science, Department of Mathematics, King Abdulaziz University, P. O. Box 80257, Jeddah 21589, Saudi Arabia
| | - Ahmed Alsaedi
- Nonlinear Analysis and Applied Mathematics (NAAM), Research Group, Faculty of Science, Department of Mathematics, King Abdulaziz University, P. O. Box 80257, Jeddah 21589, Saudi Arabia
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Magnetohydrodynamic stagnation point flow of third-grade liquid toward variable sheet thickness. Neural Comput Appl 2017. [DOI: 10.1007/s00521-016-2827-1] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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Hayat T, Waqas M, Khan MI, Alsaedi A. Impacts of constructive and destructive chemical reactions in magnetohydrodynamic (MHD) flow of Jeffrey liquid due to nonlinear radially stretched surface. J Mol Liq 2017. [DOI: 10.1016/j.molliq.2016.11.023] [Citation(s) in RCA: 80] [Impact Index Per Article: 11.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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22
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Hayat T, Khan M, Imtiaz M, Alsaedi A. Squeezing flow past a Riga plate with chemical reaction and convective conditions. J Mol Liq 2017. [DOI: 10.1016/j.molliq.2016.11.089] [Citation(s) in RCA: 37] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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23
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Hayat T, Khan MI, Farooq M, Yasmeen T, Alsaedi A. Water-carbon nanofluid flow with variable heat flux by a thin needle. J Mol Liq 2016. [DOI: 10.1016/j.molliq.2016.10.069] [Citation(s) in RCA: 91] [Impact Index Per Article: 11.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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