Impulsive motion causes time-dependent nonlinear convective Williamson nanofluid flow across a rough conical surface: Semi-similar analysis
The time-dependent nonlinear convective Williamson nanofluid flow over a rough conical surface in the presence of numerous diffusions and Arrhenius activation energy effects are the main focus of the investigation in this paper. The unsteady flow is essentially due to the impulsive mainstream flow....
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-07-01
|
| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016823003824 |
| _version_ | 1797795271882571776 |
|---|---|
| author | P.M. Patil P.S. Hiremath E. Momoniat |
| author_facet | P.M. Patil P.S. Hiremath E. Momoniat |
| author_sort | P.M. Patil |
| collection | DOAJ |
| description | The time-dependent nonlinear convective Williamson nanofluid flow over a rough conical surface in the presence of numerous diffusions and Arrhenius activation energy effects are the main focus of the investigation in this paper. The unsteady flow is essentially due to the impulsive mainstream flow. Two diffusive species, namely, liquid Hydrogen and liquid Nitrogen, occur in the flow under investigation. A sinusoidal waveform mathematically models the rough conical surface with small amplitude and high frequency. Thus, the surface gradients, namely skin friction, exhibit wavy effects in the boundary layer regime. In the current flow problem, the governing equations for the fluid flow are highly coupled nonlinear PDEs that depend on the proper initial and boundary conditions. Mangler's transformations are used to convert them into non-dimensional forms, and implicit finite difference approximation and quasilinearization are employed to produce numerical semi-similar solutions. The numerical results representing the boundary layer effects are displayed graphically and analyzed for parametric values. The friction experienced by the rough surface is strongly fluctuating for higher values of Williamson parameter W. The heat transfer rate Rex-1/2Nu increases approximately by 61% and 63% at ξ=0.8 when Nt decreases from Nt=0.5 to Nt=0.1, for the cases of W = 0 (Newtonian fluid) and W = 1(Williamson fluid), respectively. Additionally, there is a strong correlation between the current findings and the related results previously published in the literature. |
| first_indexed | 2024-03-13T03:16:28Z |
| format | Article |
| id | doaj.art-cf96bbe86cd84f9eb55fc97a18ba3275 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-03-13T03:16:28Z |
| publishDate | 2023-07-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-cf96bbe86cd84f9eb55fc97a18ba32752023-06-26T04:13:29ZengElsevierAlexandria Engineering Journal1110-01682023-07-0174171185Impulsive motion causes time-dependent nonlinear convective Williamson nanofluid flow across a rough conical surface: Semi-similar analysisP.M. Patil0P.S. Hiremath1E. Momoniat2Department of Mathematics, KLE Technological University, B V Bhoomaraddi Campus, Vidyanagar, Hubballi 580 031, India; Data Science Across Disciplines Research Group (Institute for the Future of Knowledge), Department of Mathematics and Applied Mathematics, University of Johannesburg, PO Box 524, Auckland Park 2006, South AfricaDepartment of MCA, KLE Technological University, B V Bhoomaraddi Campus, Vidyanagar, Hubballi 580 031, IndiaData Science Across Disciplines Research Group (Institute for the Future of Knowledge), Department of Mathematics and Applied Mathematics, University of Johannesburg, PO Box 524, Auckland Park 2006, South Africa; Corresponding author.The time-dependent nonlinear convective Williamson nanofluid flow over a rough conical surface in the presence of numerous diffusions and Arrhenius activation energy effects are the main focus of the investigation in this paper. The unsteady flow is essentially due to the impulsive mainstream flow. Two diffusive species, namely, liquid Hydrogen and liquid Nitrogen, occur in the flow under investigation. A sinusoidal waveform mathematically models the rough conical surface with small amplitude and high frequency. Thus, the surface gradients, namely skin friction, exhibit wavy effects in the boundary layer regime. In the current flow problem, the governing equations for the fluid flow are highly coupled nonlinear PDEs that depend on the proper initial and boundary conditions. Mangler's transformations are used to convert them into non-dimensional forms, and implicit finite difference approximation and quasilinearization are employed to produce numerical semi-similar solutions. The numerical results representing the boundary layer effects are displayed graphically and analyzed for parametric values. The friction experienced by the rough surface is strongly fluctuating for higher values of Williamson parameter W. The heat transfer rate Rex-1/2Nu increases approximately by 61% and 63% at ξ=0.8 when Nt decreases from Nt=0.5 to Nt=0.1, for the cases of W = 0 (Newtonian fluid) and W = 1(Williamson fluid), respectively. Additionally, there is a strong correlation between the current findings and the related results previously published in the literature.http://www.sciencedirect.com/science/article/pii/S1110016823003824Boundary layer flowHeat transferImpulsive motionTime-dependentNonlinear convectionNanofluid |
| spellingShingle | P.M. Patil P.S. Hiremath E. Momoniat Impulsive motion causes time-dependent nonlinear convective Williamson nanofluid flow across a rough conical surface: Semi-similar analysis Alexandria Engineering Journal Boundary layer flow Heat transfer Impulsive motion Time-dependent Nonlinear convection Nanofluid |
| title | Impulsive motion causes time-dependent nonlinear convective Williamson nanofluid flow across a rough conical surface: Semi-similar analysis |
| title_full | Impulsive motion causes time-dependent nonlinear convective Williamson nanofluid flow across a rough conical surface: Semi-similar analysis |
| title_fullStr | Impulsive motion causes time-dependent nonlinear convective Williamson nanofluid flow across a rough conical surface: Semi-similar analysis |
| title_full_unstemmed | Impulsive motion causes time-dependent nonlinear convective Williamson nanofluid flow across a rough conical surface: Semi-similar analysis |
| title_short | Impulsive motion causes time-dependent nonlinear convective Williamson nanofluid flow across a rough conical surface: Semi-similar analysis |
| title_sort | impulsive motion causes time dependent nonlinear convective williamson nanofluid flow across a rough conical surface semi similar analysis |
| topic | Boundary layer flow Heat transfer Impulsive motion Time-dependent Nonlinear convection Nanofluid |
| url | http://www.sciencedirect.com/science/article/pii/S1110016823003824 |
| work_keys_str_mv | AT pmpatil impulsivemotioncausestimedependentnonlinearconvectivewilliamsonnanofluidflowacrossaroughconicalsurfacesemisimilaranalysis AT pshiremath impulsivemotioncausestimedependentnonlinearconvectivewilliamsonnanofluidflowacrossaroughconicalsurfacesemisimilaranalysis AT emomoniat impulsivemotioncausestimedependentnonlinearconvectivewilliamsonnanofluidflowacrossaroughconicalsurfacesemisimilaranalysis |