Numerical and analytical solutions of new Blasius equation for turbulent flow
The Blasius equation for laminar flow comes from the Prandtl boundary layer equations. In this article, we establish a new and generic Blasius equation for turbulent flow derived from the turbulent boundary layer equation that can be used for turbulent as well as laminar flow. The analytical and num...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-03-01
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| Series: | Heliyon |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844023015268 |
| _version_ | 1797851817662480384 |
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| author | M. Mizanur Rahman Shahansha Khan M. Ali Akbar |
| author_facet | M. Mizanur Rahman Shahansha Khan M. Ali Akbar |
| author_sort | M. Mizanur Rahman |
| collection | DOAJ |
| description | The Blasius equation for laminar flow comes from the Prandtl boundary layer equations. In this article, we establish a new and generic Blasius equation for turbulent flow derived from the turbulent boundary layer equation that can be used for turbulent as well as laminar flow. The analytical and numerical solutions have been investigated under specific conditions to the developed new Blasius equation. The analytical and numerical results have been compared through tables and graphs to validate the established model. In fluid dynamics, analytical solutions to complicated systems are tedious and time-consuming. Changing one or more constraints can introduce new challenges. In this case, symbolic computation software provides an easier and more flexible solution for fluid dynamical systems, even if boundary conditions are adjusted to explain reality. Therefore, the MATLAB code is used to investigate the new third-order Blasius equation. The comparison and graphical representations demonstrate that the achieved results are encouraging. |
| first_indexed | 2024-04-09T19:23:58Z |
| format | Article |
| id | doaj.art-efebe95c94fc4043a4784f6f977b7b05 |
| institution | Directory Open Access Journal |
| issn | 2405-8440 |
| language | English |
| last_indexed | 2024-04-09T19:23:58Z |
| publishDate | 2023-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj.art-efebe95c94fc4043a4784f6f977b7b052023-04-05T08:23:52ZengElsevierHeliyon2405-84402023-03-0193e14319Numerical and analytical solutions of new Blasius equation for turbulent flowM. Mizanur Rahman0Shahansha Khan1M. Ali Akbar2Department of Computer Science and Engineering, Varendra University, Rajshahi, BangladeshDepartment of Mathematics, Uttara University, Uttara Dhaka, BangladeshDepartment of Applied Mathematics, University of Rajshahi, Bangladesh; Corresponding author.The Blasius equation for laminar flow comes from the Prandtl boundary layer equations. In this article, we establish a new and generic Blasius equation for turbulent flow derived from the turbulent boundary layer equation that can be used for turbulent as well as laminar flow. The analytical and numerical solutions have been investigated under specific conditions to the developed new Blasius equation. The analytical and numerical results have been compared through tables and graphs to validate the established model. In fluid dynamics, analytical solutions to complicated systems are tedious and time-consuming. Changing one or more constraints can introduce new challenges. In this case, symbolic computation software provides an easier and more flexible solution for fluid dynamical systems, even if boundary conditions are adjusted to explain reality. Therefore, the MATLAB code is used to investigate the new third-order Blasius equation. The comparison and graphical representations demonstrate that the achieved results are encouraging.http://www.sciencedirect.com/science/article/pii/S2405844023015268Blasius equationTurbulent flowMATLABFinite difference methodWang concept |
| spellingShingle | M. Mizanur Rahman Shahansha Khan M. Ali Akbar Numerical and analytical solutions of new Blasius equation for turbulent flow Heliyon Blasius equation Turbulent flow MATLAB Finite difference method Wang concept |
| title | Numerical and analytical solutions of new Blasius equation for turbulent flow |
| title_full | Numerical and analytical solutions of new Blasius equation for turbulent flow |
| title_fullStr | Numerical and analytical solutions of new Blasius equation for turbulent flow |
| title_full_unstemmed | Numerical and analytical solutions of new Blasius equation for turbulent flow |
| title_short | Numerical and analytical solutions of new Blasius equation for turbulent flow |
| title_sort | numerical and analytical solutions of new blasius equation for turbulent flow |
| topic | Blasius equation Turbulent flow MATLAB Finite difference method Wang concept |
| url | http://www.sciencedirect.com/science/article/pii/S2405844023015268 |
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