Numerical Exploration via Least Squares Estimation on Three Dimensional MHD Yield Exhibiting Nanofluid Model with Porous Stretching Boundaries
The numerical study of a three-dimensional magneto-hydrodynamic (MHD) Casson nano-fluid with porous and stretchy boundaries is the focus of this paper. Radiation impacts are also supposed. A feasible similarity variable may convert a verbalized set of nonlinear “partial” differential equations (PDEs...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-10-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/5/4/167 |
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| author | Tamour Zubair Muhammad Usman Umar Nazir Poom Kumam Muhammad Sohail |
| author_facet | Tamour Zubair Muhammad Usman Umar Nazir Poom Kumam Muhammad Sohail |
| author_sort | Tamour Zubair |
| collection | DOAJ |
| description | The numerical study of a three-dimensional magneto-hydrodynamic (MHD) Casson nano-fluid with porous and stretchy boundaries is the focus of this paper. Radiation impacts are also supposed. A feasible similarity variable may convert a verbalized set of nonlinear “partial” differential equations (PDEs) into a system of nonlinear “ordinary” differential equations (ODEs). To investigate the solutions of the resulting dimensionless model, the least-square method is suggested and extended. Maple code is created for the expanded technique of determining model behaviour. Several simulations were run, and graphs were used to provide a thorough explanation of the important parameters on velocities, skin friction, local Nusselt number, and temperature. The comparison study attests that the suggested method is well-matched, trustworthy, and accurate for investigating the governing model’s answers. This method may be expanded to solve additional physical issues with complicated geometry. |
| first_indexed | 2024-03-10T04:05:32Z |
| format | Article |
| id | doaj.art-9258e1de55a84d90bd79904f2f0a1858 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-10T04:05:32Z |
| publishDate | 2021-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-9258e1de55a84d90bd79904f2f0a18582023-11-23T08:23:11ZengMDPI AGFractal and Fractional2504-31102021-10-015416710.3390/fractalfract5040167Numerical Exploration via Least Squares Estimation on Three Dimensional MHD Yield Exhibiting Nanofluid Model with Porous Stretching BoundariesTamour Zubair0Muhammad Usman1Umar Nazir2Poom Kumam3Muhammad Sohail4School of Mathematical Sciences, Peking University, Beijing 100871, ChinaDepartment of Mathematics, National University of Modern Languages (NUML), Islamabad 44000, PakistanDepartment of Applied Mathematics and Statistics, Institute of Space Technology, P.O. Box 2750, Islamabad 44000, PakistanCenter of Excellence in Theoretical and Computational Science (TaCS-CoE) & KMUTT Fixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Departments of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, ThailandDepartment of Applied Mathematics and Statistics, Institute of Space Technology, P.O. Box 2750, Islamabad 44000, PakistanThe numerical study of a three-dimensional magneto-hydrodynamic (MHD) Casson nano-fluid with porous and stretchy boundaries is the focus of this paper. Radiation impacts are also supposed. A feasible similarity variable may convert a verbalized set of nonlinear “partial” differential equations (PDEs) into a system of nonlinear “ordinary” differential equations (ODEs). To investigate the solutions of the resulting dimensionless model, the least-square method is suggested and extended. Maple code is created for the expanded technique of determining model behaviour. Several simulations were run, and graphs were used to provide a thorough explanation of the important parameters on velocities, skin friction, local Nusselt number, and temperature. The comparison study attests that the suggested method is well-matched, trustworthy, and accurate for investigating the governing model’s answers. This method may be expanded to solve additional physical issues with complicated geometry.https://www.mdpi.com/2504-3110/5/4/167nanofluidleast squares methodcasson fluidmagnetic fieldboundary value problemnumerical solution |
| spellingShingle | Tamour Zubair Muhammad Usman Umar Nazir Poom Kumam Muhammad Sohail Numerical Exploration via Least Squares Estimation on Three Dimensional MHD Yield Exhibiting Nanofluid Model with Porous Stretching Boundaries Fractal and Fractional nanofluid least squares method casson fluid magnetic field boundary value problem numerical solution |
| title | Numerical Exploration via Least Squares Estimation on Three Dimensional MHD Yield Exhibiting Nanofluid Model with Porous Stretching Boundaries |
| title_full | Numerical Exploration via Least Squares Estimation on Three Dimensional MHD Yield Exhibiting Nanofluid Model with Porous Stretching Boundaries |
| title_fullStr | Numerical Exploration via Least Squares Estimation on Three Dimensional MHD Yield Exhibiting Nanofluid Model with Porous Stretching Boundaries |
| title_full_unstemmed | Numerical Exploration via Least Squares Estimation on Three Dimensional MHD Yield Exhibiting Nanofluid Model with Porous Stretching Boundaries |
| title_short | Numerical Exploration via Least Squares Estimation on Three Dimensional MHD Yield Exhibiting Nanofluid Model with Porous Stretching Boundaries |
| title_sort | numerical exploration via least squares estimation on three dimensional mhd yield exhibiting nanofluid model with porous stretching boundaries |
| topic | nanofluid least squares method casson fluid magnetic field boundary value problem numerical solution |
| url | https://www.mdpi.com/2504-3110/5/4/167 |
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