Influence of Brownian Motion, Thermophoresis and Magnetic Effects on a Fluid Containing Nanoparticles Flowing over a Stretchable Cylinder
The influence of Brownian motion and thermophoresis on a fluid containing nanoparticles flowing over a stretchable cylinder is examined. The classical Navier-Stokes equations are considered in a porous frame. In addition, the Lorentz force is taken into account. The controlling coupled nonlinear par...
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| Published in | Fluid dynamics & materials processing Vol. 20; no. 3; pp. 525 - 536 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
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Duluth
Tech Science Press
2024
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| ISSN | 1555-2578 1555-256X 1555-2578 |
| DOI | 10.32604/fdmp.2023.028716 |
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| Abstract | The influence of Brownian motion and thermophoresis on a fluid containing nanoparticles flowing over a stretchable cylinder is examined. The classical Navier-Stokes equations are considered in a porous frame. In addition, the Lorentz force is taken into account. The controlling coupled nonlinear partial differential equations are transformed into a system of first order ordinary differential equations by means of a similarity transformation. The resulting system of equations is solved by employing a shooting approach properly implemented in MATLAB. The evolution of the boundary layer and the growing velocity is shown graphically together with the related profiles of concentration and temperature. The magnetic field has a different influence (in terms of trends) on velocity and concentration. |
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| AbstractList | The influence of Brownian motion and thermophoresis on a fluid containing nanoparticles flowing over a stretchable cylinder is examined. The classical Navier-Stokes equations are considered in a porous frame. In addition, the Lorentz force is taken into account. The controlling coupled nonlinear partial differential equations are transformed into a system of first order ordinary differential equations by means of a similarity transformation. The resulting system of equations is solved by employing a shooting approach properly implemented in MATLAB. The evolution of the boundary layer and the growing velocity is shown graphically together with the related profiles of concentration and temperature. The magnetic field has a different influence (in terms of trends) on velocity and concentration. |
| Author | Majeed, Aaqib Zeeshan, Ahmad |
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| Cites_doi | 10.1115/1.2150834 10.1615/JPorMedia.2022041423 10.3390/math9172139 10.1016/j.asej.2014.03.008 10.1007/s10973-019-08706-7 10.1155/2020/3265143 10.1016/j.physleta.2006.04.051 10.1016/j.amc.2012.10.034 10.1016/j.molliq.2018.07.031 10.1016/j.physleta.2006.04.117 10.1016/j.molliq.2016.11.111 10.1016/0022-247X(88)90172-2 10.1063/1.5140366 10.1016/j.icheatmasstransfer.2021.105736 10.1016/0735-1933(85)90010-7 10.1016/j.enconman.2007.11.013 10.1016/j.matcom.2021.07.002 10.1016/j.fluiddyn.2005.05.001 10.1166/jon.2019.1687 10.1007/s10973-020-09619-6 10.1016/j.petrol.2012.08.006 10.1016/j.ijheatmasstransfer.2009.07.024 10.1016/j.jnnfm.2005.05.005 10.1007/BF01587695 10.1063/1.866827 10.1016/j.icheatmasstransfer.2022.106226 10.1002/htj.22168 10.1007/s00231-002-0383-y 10.1140/epjs/s11734-021-00037-9 10.1002/cjce.5450550619 |
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| SubjectTerms | Boundary conditions Boundary layers Brownian motion Chemical reactions Cylinders Heat transfer Investigations Lorentz force Magnetic effects Magnetic fields Nanoparticles Non-Newtonian fluids Nonlinear control Nonlinear differential equations Ordinary differential equations Partial differential equations Thermophoresis Velocity |
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