Unsteady two-layered fluid flow of conducting fluids in a channel between parallel porous plates under transverse magnetic field in a rotating system
An unsteady MHD two-layered fluid flow of electrically conducting fluids in a horizontal channel bounded by two parallel porous plates under the influence of a transversely applied uniform strong magnetic field in a rotating system is analyzed. The flow is driven by a common constant pressure gradie...
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University of Zielona Góra
2016-05-01
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| Series: | International Journal of Applied Mechanics and Engineering |
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| author | T. Linga Raju B. Neela Rao |
| author_facet | T. Linga Raju B. Neela Rao |
| author_sort | T. Linga Raju |
| collection | DOAJ |
| description | An unsteady MHD two-layered fluid flow of electrically conducting fluids in a horizontal channel bounded by two parallel porous plates under the influence of a transversely applied uniform strong magnetic field in a rotating system is analyzed. The flow is driven by a common constant pressure gradient in a channel bounded by two parallel porous plates, one being stationary and the other oscillatory. The two fluids are assumed to be incompressible, electrically conducting with different viscosities and electrical conductivities. The governing partial differential equations are reduced to the linear ordinary differential equations using two-term series. The resulting equations are solved analytically to obtain exact solutions for the velocity distributions (primary and secondary) in the two regions respectively, by assuming their solutions as a combination of both the steady state and time dependent components of the solutions. Numerical values of the velocity distributions are computed for different sets of values of the governing parameters involved in the study and their corresponding profiles are also plotted. The details of the flow characteristics and their dependence on the governing parameters involved, such as the Hartmann number, Taylor number, porous parameter, ratio of the viscosities, electrical conductivities and heights are discussed. Also an observation is made how the velocity distributions vary with the rotating hydromagnetic interaction in the case of steady and unsteady flow motions. The primary velocity distributions in the two regions are seen to decrease with an increase in the Taylor number, but an increase in the Taylor number causes a rise in secondary velocity distributions. It is found that an increase in the porous parameter decreases both the primary and secondary velocity distributions in the two regions. |
| first_indexed | 2024-03-12T16:37:27Z |
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| id | doaj.art-6dd352efcc48416cbaa0fedf2e4b22e1 |
| institution | Directory Open Access Journal |
| issn | 1734-4492 2353-9003 |
| language | English |
| last_indexed | 2024-03-12T16:37:27Z |
| publishDate | 2016-05-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | International Journal of Applied Mechanics and Engineering |
| spelling | doaj.art-6dd352efcc48416cbaa0fedf2e4b22e12023-08-08T14:47:10ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032016-05-0121242344610.1515/ijame-2016-0026167133Unsteady two-layered fluid flow of conducting fluids in a channel between parallel porous plates under transverse magnetic field in a rotating systemT. Linga Raju0B. Neela Rao1Department of Engineering Mathematics, AUCE(A), Andhra University, VISAKHAPATNAM, Pin code: 530 003, A.P, INDIADepartment of Mathematics, Aditya Institute of Technology and Management, TEKKALI, Pin code: 532 201, A.P, INDIAAn unsteady MHD two-layered fluid flow of electrically conducting fluids in a horizontal channel bounded by two parallel porous plates under the influence of a transversely applied uniform strong magnetic field in a rotating system is analyzed. The flow is driven by a common constant pressure gradient in a channel bounded by two parallel porous plates, one being stationary and the other oscillatory. The two fluids are assumed to be incompressible, electrically conducting with different viscosities and electrical conductivities. The governing partial differential equations are reduced to the linear ordinary differential equations using two-term series. The resulting equations are solved analytically to obtain exact solutions for the velocity distributions (primary and secondary) in the two regions respectively, by assuming their solutions as a combination of both the steady state and time dependent components of the solutions. Numerical values of the velocity distributions are computed for different sets of values of the governing parameters involved in the study and their corresponding profiles are also plotted. The details of the flow characteristics and their dependence on the governing parameters involved, such as the Hartmann number, Taylor number, porous parameter, ratio of the viscosities, electrical conductivities and heights are discussed. Also an observation is made how the velocity distributions vary with the rotating hydromagnetic interaction in the case of steady and unsteady flow motions. The primary velocity distributions in the two regions are seen to decrease with an increase in the Taylor number, but an increase in the Taylor number causes a rise in secondary velocity distributions. It is found that an increase in the porous parameter decreases both the primary and secondary velocity distributions in the two regions.https://www.ijame-poland.com/Unsteady-two-layered-fluid-flow-of-conducting-fluids-in-a-channel-between-parallel,167133,0,2.htmlmagnetohydrodynamicstwo-layered fluids/immiscible fluidsrotating fluidsoscillating flowunsteady flowporous plates |
| spellingShingle | T. Linga Raju B. Neela Rao Unsteady two-layered fluid flow of conducting fluids in a channel between parallel porous plates under transverse magnetic field in a rotating system International Journal of Applied Mechanics and Engineering magnetohydrodynamics two-layered fluids/immiscible fluids rotating fluids oscillating flow unsteady flow porous plates |
| title | Unsteady two-layered fluid flow of conducting fluids in a channel between parallel porous plates under transverse magnetic field in a rotating system |
| title_full | Unsteady two-layered fluid flow of conducting fluids in a channel between parallel porous plates under transverse magnetic field in a rotating system |
| title_fullStr | Unsteady two-layered fluid flow of conducting fluids in a channel between parallel porous plates under transverse magnetic field in a rotating system |
| title_full_unstemmed | Unsteady two-layered fluid flow of conducting fluids in a channel between parallel porous plates under transverse magnetic field in a rotating system |
| title_short | Unsteady two-layered fluid flow of conducting fluids in a channel between parallel porous plates under transverse magnetic field in a rotating system |
| title_sort | unsteady two layered fluid flow of conducting fluids in a channel between parallel porous plates under transverse magnetic field in a rotating system |
| topic | magnetohydrodynamics two-layered fluids/immiscible fluids rotating fluids oscillating flow unsteady flow porous plates |
| url | https://www.ijame-poland.com/Unsteady-two-layered-fluid-flow-of-conducting-fluids-in-a-channel-between-parallel,167133,0,2.html |
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