Mathematical Modelling of Hydromagnetic Casson non-Newtonian Nanofluid Convection Slip Flow from an Isothermal Sphere
In this article, the combined magnetohydrodynamic heat, momentum and mass (species) transfer in external boundary layer flow of Casson nanofluid from an isothermal sphere surface with convective condition under an applied magnetic field is studied theoretically. The effects of Brownian motion and th...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2019-01-01
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| Series: | Nonlinear Engineering |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/nleng-2018-0016 |
| _version_ | 1818580772666212352 |
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| author | Rao A. Subba Sainath Seela Rajendra P. Ramu G. |
| author_facet | Rao A. Subba Sainath Seela Rajendra P. Ramu G. |
| author_sort | Rao A. Subba |
| collection | DOAJ |
| description | In this article, the combined magnetohydrodynamic heat, momentum and mass (species) transfer in external boundary layer flow of Casson nanofluid from an isothermal sphere surface with convective condition under an applied magnetic field is studied theoretically. The effects of Brownian motion and thermophoresis are incorporated in the model in the presence of both heat and nanoparticle mass transfer convective conditions. The governing partial differential equations (PDEs) are transformed into highly nonlinear, coupled, multi-degree non-similar partial differential equations consisting of the momentum, energy and concentration equations via appropriate non-similarity transformations. These transformed conservation equations are solved subject to appropriate boundary conditions with a second order accurate finite difference method of the implicit type. The influences of the emerging parameters i.e. magnetic parameter (M), Buoyancy ratio parameter (N), Casson fluid parameter (β), Brownian motion parameter (Nb) and thermophoresis parameter (Nt), Lewis number (Le), Prandtl number (Pr) and thermal slip (ST) on velocity, temperature and nano-particle concentration distributions is illustrated graphically and interpreted at length. |
| first_indexed | 2024-12-16T07:22:55Z |
| format | Article |
| id | doaj.art-c9a50045e0b847ecb82d67d46a6de334 |
| institution | Directory Open Access Journal |
| issn | 2192-8010 2192-8029 |
| language | English |
| last_indexed | 2024-12-16T07:22:55Z |
| publishDate | 2019-01-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Nonlinear Engineering |
| spelling | doaj.art-c9a50045e0b847ecb82d67d46a6de3342022-12-21T22:39:35ZengDe GruyterNonlinear Engineering2192-80102192-80292019-01-018164566010.1515/nleng-2018-0016nleng-2018-0016Mathematical Modelling of Hydromagnetic Casson non-Newtonian Nanofluid Convection Slip Flow from an Isothermal SphereRao A. Subba0Sainath Seela1Rajendra P.2Ramu G.3Department of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle, 517325, IndiaIV B.Tech student, Department of Mechanical Engineering, Madanapalle Institute of Technology & Science, Madanapalle, 517325, IndiaDepartment of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle, 517325, IndiaDepartment of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle, 517325, IndiaIn this article, the combined magnetohydrodynamic heat, momentum and mass (species) transfer in external boundary layer flow of Casson nanofluid from an isothermal sphere surface with convective condition under an applied magnetic field is studied theoretically. The effects of Brownian motion and thermophoresis are incorporated in the model in the presence of both heat and nanoparticle mass transfer convective conditions. The governing partial differential equations (PDEs) are transformed into highly nonlinear, coupled, multi-degree non-similar partial differential equations consisting of the momentum, energy and concentration equations via appropriate non-similarity transformations. These transformed conservation equations are solved subject to appropriate boundary conditions with a second order accurate finite difference method of the implicit type. The influences of the emerging parameters i.e. magnetic parameter (M), Buoyancy ratio parameter (N), Casson fluid parameter (β), Brownian motion parameter (Nb) and thermophoresis parameter (Nt), Lewis number (Le), Prandtl number (Pr) and thermal slip (ST) on velocity, temperature and nano-particle concentration distributions is illustrated graphically and interpreted at length.https://doi.org/10.1515/nleng-2018-0016magnetic nanofluidspecies diffusionsteady flownanoparticlescasson viscoplastic modelkellerbox numerical methodheat transfer |
| spellingShingle | Rao A. Subba Sainath Seela Rajendra P. Ramu G. Mathematical Modelling of Hydromagnetic Casson non-Newtonian Nanofluid Convection Slip Flow from an Isothermal Sphere Nonlinear Engineering magnetic nanofluid species diffusion steady flow nanoparticles casson viscoplastic model kellerbox numerical method heat transfer |
| title | Mathematical Modelling of Hydromagnetic Casson non-Newtonian Nanofluid Convection Slip Flow from an Isothermal Sphere |
| title_full | Mathematical Modelling of Hydromagnetic Casson non-Newtonian Nanofluid Convection Slip Flow from an Isothermal Sphere |
| title_fullStr | Mathematical Modelling of Hydromagnetic Casson non-Newtonian Nanofluid Convection Slip Flow from an Isothermal Sphere |
| title_full_unstemmed | Mathematical Modelling of Hydromagnetic Casson non-Newtonian Nanofluid Convection Slip Flow from an Isothermal Sphere |
| title_short | Mathematical Modelling of Hydromagnetic Casson non-Newtonian Nanofluid Convection Slip Flow from an Isothermal Sphere |
| title_sort | mathematical modelling of hydromagnetic casson non newtonian nanofluid convection slip flow from an isothermal sphere |
| topic | magnetic nanofluid species diffusion steady flow nanoparticles casson viscoplastic model kellerbox numerical method heat transfer |
| url | https://doi.org/10.1515/nleng-2018-0016 |
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