Numerical treatment of the radiated and dissipative power-law nanofluid flow past a nonlinear stretched sheet with non-uniform heat generation
Abstract The main aim of this paper is to investigate the effect of non-uniform heat generation and viscous dissipation on the boundary layer flow of a power-law nanofluid over a nonlinear stretching sheet. Within the thermal domain, the analysis considers both thermal radiation and variable thermal...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2023-12-01
|
| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-023-49547-7 |
| _version_ | 1797377051848605696 |
|---|---|
| author | M. M. Khader Ahmed M. Megahed A. Eid |
| author_facet | M. M. Khader Ahmed M. Megahed A. Eid |
| author_sort | M. M. Khader |
| collection | DOAJ |
| description | Abstract The main aim of this paper is to investigate the effect of non-uniform heat generation and viscous dissipation on the boundary layer flow of a power-law nanofluid over a nonlinear stretching sheet. Within the thermal domain, the analysis considers both thermal radiation and variable thermal conductivity. Through the use of similarity transformations, the governing boundary layer equations are transformed into a system of ODEs. The spectral collocation method (SCM) with shifted Vieta-Lucas polynomials (VLPs) is implemented to give an approximate expression for the derivatives and then use it to numerically solve the proposed system of equations. By employing this technique, the system of ODEs is converted into a system of nonlinear algebraic equations. The dimensionless temperature, concentration, and velocity are graphically presented and analyzed for various values of the relevant governing parameters. Through the presented graphical solutions, we can see that the main outcomes indicate that an increase in the power law index, thermal conductivity parameter, and radiation parameter leads to a noticeable decrease in the local Nusselt number, with reductions of around 0.05 percent, 0.23 percent, and 0.11 percent, respectively. In contrast, the Prandtl parameter demonstrates an opposing effect, elevating the local Nusselt number by about 0.1 percent. We validated the accuracy of the numerical solutions by comparing them in some special cases with existing literature. |
| first_indexed | 2024-03-08T19:48:24Z |
| format | Article |
| id | doaj.art-77846ce0d79c4c54b33eb61e40dd0c23 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-03-08T19:48:24Z |
| publishDate | 2023-12-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-77846ce0d79c4c54b33eb61e40dd0c232023-12-24T12:14:12ZengNature PortfolioScientific Reports2045-23222023-12-0113111310.1038/s41598-023-49547-7Numerical treatment of the radiated and dissipative power-law nanofluid flow past a nonlinear stretched sheet with non-uniform heat generationM. M. Khader0Ahmed M. Megahed1A. Eid2Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU)Department of Mathematics, Faculty of Science, Benha UniversityDepartment of Physics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU)Abstract The main aim of this paper is to investigate the effect of non-uniform heat generation and viscous dissipation on the boundary layer flow of a power-law nanofluid over a nonlinear stretching sheet. Within the thermal domain, the analysis considers both thermal radiation and variable thermal conductivity. Through the use of similarity transformations, the governing boundary layer equations are transformed into a system of ODEs. The spectral collocation method (SCM) with shifted Vieta-Lucas polynomials (VLPs) is implemented to give an approximate expression for the derivatives and then use it to numerically solve the proposed system of equations. By employing this technique, the system of ODEs is converted into a system of nonlinear algebraic equations. The dimensionless temperature, concentration, and velocity are graphically presented and analyzed for various values of the relevant governing parameters. Through the presented graphical solutions, we can see that the main outcomes indicate that an increase in the power law index, thermal conductivity parameter, and radiation parameter leads to a noticeable decrease in the local Nusselt number, with reductions of around 0.05 percent, 0.23 percent, and 0.11 percent, respectively. In contrast, the Prandtl parameter demonstrates an opposing effect, elevating the local Nusselt number by about 0.1 percent. We validated the accuracy of the numerical solutions by comparing them in some special cases with existing literature.https://doi.org/10.1038/s41598-023-49547-7 |
| spellingShingle | M. M. Khader Ahmed M. Megahed A. Eid Numerical treatment of the radiated and dissipative power-law nanofluid flow past a nonlinear stretched sheet with non-uniform heat generation Scientific Reports |
| title | Numerical treatment of the radiated and dissipative power-law nanofluid flow past a nonlinear stretched sheet with non-uniform heat generation |
| title_full | Numerical treatment of the radiated and dissipative power-law nanofluid flow past a nonlinear stretched sheet with non-uniform heat generation |
| title_fullStr | Numerical treatment of the radiated and dissipative power-law nanofluid flow past a nonlinear stretched sheet with non-uniform heat generation |
| title_full_unstemmed | Numerical treatment of the radiated and dissipative power-law nanofluid flow past a nonlinear stretched sheet with non-uniform heat generation |
| title_short | Numerical treatment of the radiated and dissipative power-law nanofluid flow past a nonlinear stretched sheet with non-uniform heat generation |
| title_sort | numerical treatment of the radiated and dissipative power law nanofluid flow past a nonlinear stretched sheet with non uniform heat generation |
| url | https://doi.org/10.1038/s41598-023-49547-7 |
| work_keys_str_mv | AT mmkhader numericaltreatmentoftheradiatedanddissipativepowerlawnanofluidflowpastanonlinearstretchedsheetwithnonuniformheatgeneration AT ahmedmmegahed numericaltreatmentoftheradiatedanddissipativepowerlawnanofluidflowpastanonlinearstretchedsheetwithnonuniformheatgeneration AT aeid numericaltreatmentoftheradiatedanddissipativepowerlawnanofluidflowpastanonlinearstretchedsheetwithnonuniformheatgeneration |