Numerical simulation of free convective flow over vertical disk via spectral-collocation method
Free convective motion of viscous nanofluid over a vertical circular disk stretching along radial direction is investigated here. The disk surface is supposed as heated and flow influenced by magnetic field. In thermal analysis, thermophoretic and Brownian forces are considered in addition to therma...
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-12-01
|
| Series: | Case Studies in Thermal Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2214157X23009747 |
| _version_ | 1797422586911522816 |
|---|---|
| author | Awais Ahmed Muhammad Usman Dianchen Lu Zhengdi Zhang Mostafa A. Hussien Ahmed M. Hassan |
| author_facet | Awais Ahmed Muhammad Usman Dianchen Lu Zhengdi Zhang Mostafa A. Hussien Ahmed M. Hassan |
| author_sort | Awais Ahmed |
| collection | DOAJ |
| description | Free convective motion of viscous nanofluid over a vertical circular disk stretching along radial direction is investigated here. The disk surface is supposed as heated and flow influenced by magnetic field. In thermal analysis, thermophoretic and Brownian forces are considered in addition to thermal radiation in the system. Computation of highly nonlinear system of equations which governs the present problem is the challenging task among the scientists. In the context, a novel robust scheme is developed to explore the accurate solution of governing model. This scheme is based on spectral method and well-known Newton's Raphson method. The forced, free, thermal and soultal profiles are presented in graphical form. These outcomes of the problem are also validated through the comparison with well-known published results. Hence, It is noted that a better convergence acquired in the present study. Additionally, in physical explanation of outcomes, it is observed that higher magnitude of Brownian force increases the free convective motion of the fluid. The solution method convergence is also discussed via residual error and L2−norm. |
| first_indexed | 2024-03-09T07:35:28Z |
| format | Article |
| id | doaj.art-998c132b5bbf4152832dc69495f978a2 |
| institution | Directory Open Access Journal |
| issn | 2214-157X |
| language | English |
| last_indexed | 2024-03-09T07:35:28Z |
| publishDate | 2023-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Case Studies in Thermal Engineering |
| spelling | doaj.art-998c132b5bbf4152832dc69495f978a22023-12-03T05:41:19ZengElsevierCase Studies in Thermal Engineering2214-157X2023-12-0152103668Numerical simulation of free convective flow over vertical disk via spectral-collocation methodAwais Ahmed0Muhammad Usman1Dianchen Lu2Zhengdi Zhang3Mostafa A. Hussien4Ahmed M. Hassan5School of Mathematical Sciences, Jiangsu University, Zhenjiang, 212013, ChinaSchool of Mathematical Sciences, Jiangsu University, Zhenjiang, 212013, China; Department of Mathematics, National University of Modern Languages, Islamabad, PakistanSchool of Mathematical Sciences, Jiangsu University, Zhenjiang, 212013, ChinaSchool of Mathematical Sciences, Jiangsu University, Zhenjiang, 212013, China; Corresponding author.Mechanical Engineering Department, College of Engineering, King Khalid University, Abha, 61421, Saudi ArabiaFaculty of Engineering, Future university in Egypt, 11835 EgyptFree convective motion of viscous nanofluid over a vertical circular disk stretching along radial direction is investigated here. The disk surface is supposed as heated and flow influenced by magnetic field. In thermal analysis, thermophoretic and Brownian forces are considered in addition to thermal radiation in the system. Computation of highly nonlinear system of equations which governs the present problem is the challenging task among the scientists. In the context, a novel robust scheme is developed to explore the accurate solution of governing model. This scheme is based on spectral method and well-known Newton's Raphson method. The forced, free, thermal and soultal profiles are presented in graphical form. These outcomes of the problem are also validated through the comparison with well-known published results. Hence, It is noted that a better convergence acquired in the present study. Additionally, in physical explanation of outcomes, it is observed that higher magnitude of Brownian force increases the free convective motion of the fluid. The solution method convergence is also discussed via residual error and L2−norm.http://www.sciencedirect.com/science/article/pii/S2214157X23009747Free convectionNanofluidsStretching diskMagnetic fieldSpectral methodNewton's method |
| spellingShingle | Awais Ahmed Muhammad Usman Dianchen Lu Zhengdi Zhang Mostafa A. Hussien Ahmed M. Hassan Numerical simulation of free convective flow over vertical disk via spectral-collocation method Case Studies in Thermal Engineering Free convection Nanofluids Stretching disk Magnetic field Spectral method Newton's method |
| title | Numerical simulation of free convective flow over vertical disk via spectral-collocation method |
| title_full | Numerical simulation of free convective flow over vertical disk via spectral-collocation method |
| title_fullStr | Numerical simulation of free convective flow over vertical disk via spectral-collocation method |
| title_full_unstemmed | Numerical simulation of free convective flow over vertical disk via spectral-collocation method |
| title_short | Numerical simulation of free convective flow over vertical disk via spectral-collocation method |
| title_sort | numerical simulation of free convective flow over vertical disk via spectral collocation method |
| topic | Free convection Nanofluids Stretching disk Magnetic field Spectral method Newton's method |
| url | http://www.sciencedirect.com/science/article/pii/S2214157X23009747 |
| work_keys_str_mv | AT awaisahmed numericalsimulationoffreeconvectiveflowoververticaldiskviaspectralcollocationmethod AT muhammadusman numericalsimulationoffreeconvectiveflowoververticaldiskviaspectralcollocationmethod AT dianchenlu numericalsimulationoffreeconvectiveflowoververticaldiskviaspectralcollocationmethod AT zhengdizhang numericalsimulationoffreeconvectiveflowoververticaldiskviaspectralcollocationmethod AT mostafaahussien numericalsimulationoffreeconvectiveflowoververticaldiskviaspectralcollocationmethod AT ahmedmhassan numericalsimulationoffreeconvectiveflowoververticaldiskviaspectralcollocationmethod |