Span-Wise Fluctuating MHD Convective Flow of a Viscoelastic Fluid through a Porous Medium in a Hot Vertical Channel with Thermal Radiation
An unsteady mixed convection flow of a visco-elastic, incompressible and electrically conducting fluid in a hot vertical channel is analyzed. The vertical channel is filled with a porous medium. The temperature of one of the channel plates is considered to be fluctuating span-wise cosinusoidally, i....
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| Format: | Article |
| Language: | English |
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University of Zielona Góra
2016-08-01
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| Series: | International Journal of Applied Mechanics and Engineering |
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| Online Access: | https://www.ijame-poland.com/Span-Wise-Fluctuating-MHD-Convective-Flow-of-a-Viscoelastic-Fluid-through-a-Porous,167117,0,2.html |
| _version_ | 1827873472330596352 |
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| author | K.D. Singh |
| author_facet | K.D. Singh |
| author_sort | K.D. Singh |
| collection | DOAJ |
| description | An unsteady mixed convection flow of a visco-elastic, incompressible and electrically conducting fluid in a hot vertical channel is analyzed. The vertical channel is filled with a porous medium. The temperature of one of the channel plates is considered to be fluctuating span-wise cosinusoidally, i.e.,
T*(y*,z*,t*)=T1+(T2−T1)cos(πz*d−ω*t*)$T^* \left( {y^* ,z^* ,t^* } \right) = T_1 + \left( {T_2} - {T_ 1} \right)\cos \left( {{{\pi z^* } \over d} - \omega ^* t^* } \right)$
. A magnetic field of uniform strength is applied perpendicular to the planes of the plates. The magnetic Reynolds number is assumed very small so that the induced magnetic field is neglected. It is also assumed that the conducting fluid is gray, absorbing/emitting radiation and non-scattering. Governing equations are solved exactly for the velocity and the temperature fields. The effects of various flow parameters on the velocity, temperature and the skin friction and the Nusselt number in terms of their amplitudes and phase angles are discussed with the help of figures. |
| first_indexed | 2024-03-12T16:37:30Z |
| format | Article |
| id | doaj.art-7783d913467446d69c03c5c275fdd939 |
| institution | Directory Open Access Journal |
| issn | 1734-4492 2353-9003 |
| language | English |
| last_indexed | 2024-03-12T16:37:30Z |
| publishDate | 2016-08-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | International Journal of Applied Mechanics and Engineering |
| spelling | doaj.art-7783d913467446d69c03c5c275fdd9392023-08-08T14:47:12ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032016-08-0121366768110.1515/ijame-2016-0040167117Span-Wise Fluctuating MHD Convective Flow of a Viscoelastic Fluid through a Porous Medium in a Hot Vertical Channel with Thermal RadiationK.D. Singh0Applied Mathematics, Wexlow, Lower Kaithu, Shimla-171003, IndiaAn unsteady mixed convection flow of a visco-elastic, incompressible and electrically conducting fluid in a hot vertical channel is analyzed. The vertical channel is filled with a porous medium. The temperature of one of the channel plates is considered to be fluctuating span-wise cosinusoidally, i.e., T*(y*,z*,t*)=T1+(T2−T1)cos(πz*d−ω*t*)$T^* \left( {y^* ,z^* ,t^* } \right) = T_1 + \left( {T_2} - {T_ 1} \right)\cos \left( {{{\pi z^* } \over d} - \omega ^* t^* } \right)$ . A magnetic field of uniform strength is applied perpendicular to the planes of the plates. The magnetic Reynolds number is assumed very small so that the induced magnetic field is neglected. It is also assumed that the conducting fluid is gray, absorbing/emitting radiation and non-scattering. Governing equations are solved exactly for the velocity and the temperature fields. The effects of various flow parameters on the velocity, temperature and the skin friction and the Nusselt number in terms of their amplitudes and phase angles are discussed with the help of figures.https://www.ijame-poland.com/Span-Wise-Fluctuating-MHD-Convective-Flow-of-a-Viscoelastic-Fluid-through-a-Porous,167117,0,2.htmlmagnetohydrodynamics (mhd)span-wise cosinusoidalconvectiveporous mediumradiation |
| spellingShingle | K.D. Singh Span-Wise Fluctuating MHD Convective Flow of a Viscoelastic Fluid through a Porous Medium in a Hot Vertical Channel with Thermal Radiation International Journal of Applied Mechanics and Engineering magnetohydrodynamics (mhd) span-wise cosinusoidal convective porous medium radiation |
| title | Span-Wise Fluctuating MHD Convective Flow of a Viscoelastic Fluid through a Porous Medium in a Hot Vertical Channel with Thermal Radiation |
| title_full | Span-Wise Fluctuating MHD Convective Flow of a Viscoelastic Fluid through a Porous Medium in a Hot Vertical Channel with Thermal Radiation |
| title_fullStr | Span-Wise Fluctuating MHD Convective Flow of a Viscoelastic Fluid through a Porous Medium in a Hot Vertical Channel with Thermal Radiation |
| title_full_unstemmed | Span-Wise Fluctuating MHD Convective Flow of a Viscoelastic Fluid through a Porous Medium in a Hot Vertical Channel with Thermal Radiation |
| title_short | Span-Wise Fluctuating MHD Convective Flow of a Viscoelastic Fluid through a Porous Medium in a Hot Vertical Channel with Thermal Radiation |
| title_sort | span wise fluctuating mhd convective flow of a viscoelastic fluid through a porous medium in a hot vertical channel with thermal radiation |
| topic | magnetohydrodynamics (mhd) span-wise cosinusoidal convective porous medium radiation |
| url | https://www.ijame-poland.com/Span-Wise-Fluctuating-MHD-Convective-Flow-of-a-Viscoelastic-Fluid-through-a-Porous,167117,0,2.html |
| work_keys_str_mv | AT kdsingh spanwisefluctuatingmhdconvectiveflowofaviscoelasticfluidthroughaporousmediuminahotverticalchannelwiththermalradiation |