Effects of melting process on the hydromagnetic wedge flow of a Casson nanofluid in a porous medium
Abstract An investigation is carried out to capture the influence of melting process and permeability of the medium on the hydromagnetic wedge flow of a Casson nanofluid. The effects of thermophoresis and Brownian motion are also taken into consideration. The coupled nonlinear partial differential e...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-02-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-019-1157-5 |
| _version_ | 1818259546958725120 |
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| author | Subharthi Sarkar Mehari Fentahun Endalew |
| author_facet | Subharthi Sarkar Mehari Fentahun Endalew |
| author_sort | Subharthi Sarkar |
| collection | DOAJ |
| description | Abstract An investigation is carried out to capture the influence of melting process and permeability of the medium on the hydromagnetic wedge flow of a Casson nanofluid. The effects of thermophoresis and Brownian motion are also taken into consideration. The coupled nonlinear partial differential equations that govern the nanofluid flow are reduced to coupled non-linear ordinary differential equations by employing similarity transformation. Thereafter, numerical solution of the resulting boundary value problem is obtained using a fourth-order accurate collocation based solver in MATLAB. A particular case of the present problem is compared with a previously published study, and the results are found to be in excellent agreement. The impact of pertinent physical entities on nanofluid velocity, nanofluid temperature, and nanoparticle concentration are presented graphically, while local skin friction, heat transfer, and mass transfer rates are recorded in a tabular form. It is found that melting process increases the thicknesses of momentum, thermal and solutal boundary layers while it reduces skin friction, heat and mass transfer rates. Wedge angle and Casson nanofluid parameters enhance the fluid velocity; however, the impact of the magnetic field and permeability of the medium is opposite to that of their usual characteristics. This study would be valuable in designing cooling gadgets and heat sinks of various shapes which will enhance the heat transfer properties of Casson nanofluids thereby increasing their applications in industrial perspectives. |
| first_indexed | 2024-12-12T18:17:10Z |
| format | Article |
| id | doaj.art-3e96cc9168464b2eb6a61647a4d79d4f |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-12-12T18:17:10Z |
| publishDate | 2019-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-3e96cc9168464b2eb6a61647a4d79d4f2022-12-22T00:16:15ZengSpringerOpenBoundary Value Problems1687-27702019-02-012019111410.1186/s13661-019-1157-5Effects of melting process on the hydromagnetic wedge flow of a Casson nanofluid in a porous mediumSubharthi Sarkar0Mehari Fentahun Endalew1Department of Mathematics, Kalinga Institute of Industrial TechnologyDepartment of Mathematics, Kalinga Institute of Industrial TechnologyAbstract An investigation is carried out to capture the influence of melting process and permeability of the medium on the hydromagnetic wedge flow of a Casson nanofluid. The effects of thermophoresis and Brownian motion are also taken into consideration. The coupled nonlinear partial differential equations that govern the nanofluid flow are reduced to coupled non-linear ordinary differential equations by employing similarity transformation. Thereafter, numerical solution of the resulting boundary value problem is obtained using a fourth-order accurate collocation based solver in MATLAB. A particular case of the present problem is compared with a previously published study, and the results are found to be in excellent agreement. The impact of pertinent physical entities on nanofluid velocity, nanofluid temperature, and nanoparticle concentration are presented graphically, while local skin friction, heat transfer, and mass transfer rates are recorded in a tabular form. It is found that melting process increases the thicknesses of momentum, thermal and solutal boundary layers while it reduces skin friction, heat and mass transfer rates. Wedge angle and Casson nanofluid parameters enhance the fluid velocity; however, the impact of the magnetic field and permeability of the medium is opposite to that of their usual characteristics. This study would be valuable in designing cooling gadgets and heat sinks of various shapes which will enhance the heat transfer properties of Casson nanofluids thereby increasing their applications in industrial perspectives.http://link.springer.com/article/10.1186/s13661-019-1157-5Melting processCasson nanofluidForced convectionPorous mediumMagnetohydrodynamic flows |
| spellingShingle | Subharthi Sarkar Mehari Fentahun Endalew Effects of melting process on the hydromagnetic wedge flow of a Casson nanofluid in a porous medium Boundary Value Problems Melting process Casson nanofluid Forced convection Porous medium Magnetohydrodynamic flows |
| title | Effects of melting process on the hydromagnetic wedge flow of a Casson nanofluid in a porous medium |
| title_full | Effects of melting process on the hydromagnetic wedge flow of a Casson nanofluid in a porous medium |
| title_fullStr | Effects of melting process on the hydromagnetic wedge flow of a Casson nanofluid in a porous medium |
| title_full_unstemmed | Effects of melting process on the hydromagnetic wedge flow of a Casson nanofluid in a porous medium |
| title_short | Effects of melting process on the hydromagnetic wedge flow of a Casson nanofluid in a porous medium |
| title_sort | effects of melting process on the hydromagnetic wedge flow of a casson nanofluid in a porous medium |
| topic | Melting process Casson nanofluid Forced convection Porous medium Magnetohydrodynamic flows |
| url | http://link.springer.com/article/10.1186/s13661-019-1157-5 |
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