Oscillatory Behavior of Heat Transfer and Magnetic Flux of Electrically Conductive Fluid Flow along Magnetized Cylinder with Variable Surface Temperature
The present study deals with electrically conductive fluid flow across a heated circular cylinder to examine the oscillatory magnetic flux and heat transfer in the presence of variable surface temperature. The proposed mathematical formulation is time-dependent, which is the source of the amplitude...
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MDPI AG
2023-07-01
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| author | Zia Ullah Nifeen H. Altaweel Musaad S. Aldhabani Kaouther Ghachem Muapper Alhadri Lioua Kolsi |
| author_facet | Zia Ullah Nifeen H. Altaweel Musaad S. Aldhabani Kaouther Ghachem Muapper Alhadri Lioua Kolsi |
| author_sort | Zia Ullah |
| collection | DOAJ |
| description | The present study deals with electrically conductive fluid flow across a heated circular cylinder to examine the oscillatory magnetic flux and heat transfer in the presence of variable surface temperature. The proposed mathematical formulation is time-dependent, which is the source of the amplitude and fluctuation in this analysis. The designed fluctuating nonlinear computational model is associated with the differential equations under specific boundary conditions. The governing equations are converted into dimensionless form by using adequate dimensionless variables. To simplify the resolution of the set of governing equations, it is further reduced. The effects of surface temperature parameter <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>β</mi></semantics></math></inline-formula>, magnetic force number <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ξ</mi></semantics></math></inline-formula>, buoyancy parameter <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>λ</mi></semantics></math></inline-formula>, Prandtl number Pr, and magnetic Prandtl parameter <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>γ</mi></semantics></math></inline-formula> are investigated. The main finding of the current study is related to the determination of the temperature distribution for each inclination angle. It is seen that a higher amplitude of the heat transfer rate occurs as the surface temperature increases. It is also noticed that the oscillatory magnetic flux becomes more important as the magnetic Prandtl number increases at each position. The present magneto-thermal analysis is significantly important in practical applications such as power plants, thermally insulated engines, and nuclear reactor cooling. |
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| language | English |
| last_indexed | 2024-03-11T00:51:45Z |
| publishDate | 2023-07-01 |
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| series | Mathematics |
| spelling | doaj.art-61c13a98693c4164b05ce076e910efd82023-11-18T20:19:43ZengMDPI AGMathematics2227-73902023-07-011114304510.3390/math11143045Oscillatory Behavior of Heat Transfer and Magnetic Flux of Electrically Conductive Fluid Flow along Magnetized Cylinder with Variable Surface TemperatureZia Ullah0Nifeen H. Altaweel1Musaad S. Aldhabani2Kaouther Ghachem3Muapper Alhadri4Lioua Kolsi5Department of Mathematics and Statistics, The University of Lahore, Sargodha-Campus, Sargodha 40100, PakistanDepartment of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi ArabiaDepartment of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi ArabiaDepartment of Industrial Engineering and Systems, College of Engineering, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Mechanical Engineering, College of Engineering, University of Ha’il, Ha’il City 81481, Saudi ArabiaDepartment of Mechanical Engineering, College of Engineering, University of Ha’il, Ha’il City 81481, Saudi ArabiaThe present study deals with electrically conductive fluid flow across a heated circular cylinder to examine the oscillatory magnetic flux and heat transfer in the presence of variable surface temperature. The proposed mathematical formulation is time-dependent, which is the source of the amplitude and fluctuation in this analysis. The designed fluctuating nonlinear computational model is associated with the differential equations under specific boundary conditions. The governing equations are converted into dimensionless form by using adequate dimensionless variables. To simplify the resolution of the set of governing equations, it is further reduced. The effects of surface temperature parameter <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>β</mi></semantics></math></inline-formula>, magnetic force number <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ξ</mi></semantics></math></inline-formula>, buoyancy parameter <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>λ</mi></semantics></math></inline-formula>, Prandtl number Pr, and magnetic Prandtl parameter <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>γ</mi></semantics></math></inline-formula> are investigated. The main finding of the current study is related to the determination of the temperature distribution for each inclination angle. It is seen that a higher amplitude of the heat transfer rate occurs as the surface temperature increases. It is also noticed that the oscillatory magnetic flux becomes more important as the magnetic Prandtl number increases at each position. The present magneto-thermal analysis is significantly important in practical applications such as power plants, thermally insulated engines, and nuclear reactor cooling.https://www.mdpi.com/2227-7390/11/14/3045variable surface temperatureoscillatory heat transferperiodic magnetic fluxamplitudephase anglemagnetized cylinder |
| spellingShingle | Zia Ullah Nifeen H. Altaweel Musaad S. Aldhabani Kaouther Ghachem Muapper Alhadri Lioua Kolsi Oscillatory Behavior of Heat Transfer and Magnetic Flux of Electrically Conductive Fluid Flow along Magnetized Cylinder with Variable Surface Temperature Mathematics variable surface temperature oscillatory heat transfer periodic magnetic flux amplitude phase angle magnetized cylinder |
| title | Oscillatory Behavior of Heat Transfer and Magnetic Flux of Electrically Conductive Fluid Flow along Magnetized Cylinder with Variable Surface Temperature |
| title_full | Oscillatory Behavior of Heat Transfer and Magnetic Flux of Electrically Conductive Fluid Flow along Magnetized Cylinder with Variable Surface Temperature |
| title_fullStr | Oscillatory Behavior of Heat Transfer and Magnetic Flux of Electrically Conductive Fluid Flow along Magnetized Cylinder with Variable Surface Temperature |
| title_full_unstemmed | Oscillatory Behavior of Heat Transfer and Magnetic Flux of Electrically Conductive Fluid Flow along Magnetized Cylinder with Variable Surface Temperature |
| title_short | Oscillatory Behavior of Heat Transfer and Magnetic Flux of Electrically Conductive Fluid Flow along Magnetized Cylinder with Variable Surface Temperature |
| title_sort | oscillatory behavior of heat transfer and magnetic flux of electrically conductive fluid flow along magnetized cylinder with variable surface temperature |
| topic | variable surface temperature oscillatory heat transfer periodic magnetic flux amplitude phase angle magnetized cylinder |
| url | https://www.mdpi.com/2227-7390/11/14/3045 |
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