Local Non-Similar Solution for Non-Isothermal Electroconductive Radiative Stretching Boundary Layer Heat Transfer with Aligned Magnetic Field
Continuous two-dimensional boundary layer heat transfer in an electroconductive Newtonian fluid from a stretching surface that is biased by a magnetic field aligned with thermal radiation is the subject of this study. The effects of magnetic induction are induced because the Reynolds number is not s...
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MDPI AG
2023-04-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/13/7/4592 |
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| author | Mohammad Ferdows Ashish Barmon Osman Anwar Bég MD Shamshuddin Shuyu Sun |
| author_facet | Mohammad Ferdows Ashish Barmon Osman Anwar Bég MD Shamshuddin Shuyu Sun |
| author_sort | Mohammad Ferdows |
| collection | DOAJ |
| description | Continuous two-dimensional boundary layer heat transfer in an electroconductive Newtonian fluid from a stretching surface that is biased by a magnetic field aligned with thermal radiation is the subject of this study. The effects of magnetic induction are induced because the Reynolds number is not small. The sheet is traveling with a temperature and velocity that are inversely related to how far away from the steady edge it is from the plane in which it is traveling. We also imposed external velocity <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>u</mi><mo>=</mo><msub><mi>u</mi><mi>e</mi></msub><mfenced><mi>x</mi></mfenced><mo>=</mo><mi mathvariant="normal">D</mi><msup><mi>x</mi><mi>p</mi></msup></mrow></semantics></math></inline-formula> in the boundary. The necessary major equations are made dimensionless by the local non-similarity transformation and become a system of non-linear ordinary differential equations after being transformed from non-linear partial differential equations. The subsequent numerical solution of the arisen non-dimensional boundary value problem utilizes a sixth-order Runge–Kutta integration scheme and Nachtsheim–Swigert shooting iterative technique. A good correlation is seen when the solutions are compared to previously published results from the literature. Through the use of graphical representation, the physical impacts of the fluid parameters on speed, induced magnetic field, and temperature distribution are carried out. Furthermore, the distributions for skin friction coefficient and local Nusselt number are also studied for different scenarios. The skin friction coefficient and local Nusselt number are observed to increase with greater values of the temperature exponent parameter and velocity exponent parameter. However, as heat radiation increases, the local Nusselt number decreases even though temperatures are noticeably higher. The study finds applications in magnetic polymer fabrication systems. |
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| series | Applied Sciences |
| spelling | doaj.art-ef1e0c57b026402baf3a6e6256d79bd22023-11-17T16:22:49ZengMDPI AGApplied Sciences2076-34172023-04-01137459210.3390/app13074592Local Non-Similar Solution for Non-Isothermal Electroconductive Radiative Stretching Boundary Layer Heat Transfer with Aligned Magnetic FieldMohammad Ferdows0Ashish Barmon1Osman Anwar Bég2MD Shamshuddin3Shuyu Sun4Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka 1000, BangladeshDepartment of Mathematics, Khulna University of Engineering and Technology, Khulna 9203, BangladeshMulti-Physical Engineering Sciences Group, Mechanical Engineering Department, School of Science, Engineering and Environment (SEE), University of Salford, Manchester M5 4WT, UKDepartment of Mathematics, School of Sciences, SR University, Warangal 506371, IndiaPhysical and Engineering Division, King Abdullah University of Science and Technology, Thuwal 23955-6900, Saudi ArabiaContinuous two-dimensional boundary layer heat transfer in an electroconductive Newtonian fluid from a stretching surface that is biased by a magnetic field aligned with thermal radiation is the subject of this study. The effects of magnetic induction are induced because the Reynolds number is not small. The sheet is traveling with a temperature and velocity that are inversely related to how far away from the steady edge it is from the plane in which it is traveling. We also imposed external velocity <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>u</mi><mo>=</mo><msub><mi>u</mi><mi>e</mi></msub><mfenced><mi>x</mi></mfenced><mo>=</mo><mi mathvariant="normal">D</mi><msup><mi>x</mi><mi>p</mi></msup></mrow></semantics></math></inline-formula> in the boundary. The necessary major equations are made dimensionless by the local non-similarity transformation and become a system of non-linear ordinary differential equations after being transformed from non-linear partial differential equations. The subsequent numerical solution of the arisen non-dimensional boundary value problem utilizes a sixth-order Runge–Kutta integration scheme and Nachtsheim–Swigert shooting iterative technique. A good correlation is seen when the solutions are compared to previously published results from the literature. Through the use of graphical representation, the physical impacts of the fluid parameters on speed, induced magnetic field, and temperature distribution are carried out. Furthermore, the distributions for skin friction coefficient and local Nusselt number are also studied for different scenarios. The skin friction coefficient and local Nusselt number are observed to increase with greater values of the temperature exponent parameter and velocity exponent parameter. However, as heat radiation increases, the local Nusselt number decreases even though temperatures are noticeably higher. The study finds applications in magnetic polymer fabrication systems.https://www.mdpi.com/2076-3417/13/7/4592non-similar solutionstretching surfaceinduced magnetic fieldvelocity exponent parametertemperature exponent parameterboundary layers |
| spellingShingle | Mohammad Ferdows Ashish Barmon Osman Anwar Bég MD Shamshuddin Shuyu Sun Local Non-Similar Solution for Non-Isothermal Electroconductive Radiative Stretching Boundary Layer Heat Transfer with Aligned Magnetic Field Applied Sciences non-similar solution stretching surface induced magnetic field velocity exponent parameter temperature exponent parameter boundary layers |
| title | Local Non-Similar Solution for Non-Isothermal Electroconductive Radiative Stretching Boundary Layer Heat Transfer with Aligned Magnetic Field |
| title_full | Local Non-Similar Solution for Non-Isothermal Electroconductive Radiative Stretching Boundary Layer Heat Transfer with Aligned Magnetic Field |
| title_fullStr | Local Non-Similar Solution for Non-Isothermal Electroconductive Radiative Stretching Boundary Layer Heat Transfer with Aligned Magnetic Field |
| title_full_unstemmed | Local Non-Similar Solution for Non-Isothermal Electroconductive Radiative Stretching Boundary Layer Heat Transfer with Aligned Magnetic Field |
| title_short | Local Non-Similar Solution for Non-Isothermal Electroconductive Radiative Stretching Boundary Layer Heat Transfer with Aligned Magnetic Field |
| title_sort | local non similar solution for non isothermal electroconductive radiative stretching boundary layer heat transfer with aligned magnetic field |
| topic | non-similar solution stretching surface induced magnetic field velocity exponent parameter temperature exponent parameter boundary layers |
| url | https://www.mdpi.com/2076-3417/13/7/4592 |
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