Effect of slip condition on viscoelastic mhd oscillatory forced convection flow in a vertical channel with heat radiation
In this paper an oscillatory flow of a viscoelastic, incompressible and electrically conducting fluid through a porous medium bounded by two infinite vertical parallel plates is discussed. One of these plates is subjected to a slip-flow condition and the other to a no-slip condition. The pressure gr...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Zielona Góra
2013-12-01
|
| Series: | International Journal of Applied Mechanics and Engineering |
| Subjects: | |
| Online Access: | https://www.ijame-poland.com/Effect-of-slip-condition-on-viscoelastic-mhd-oscillatory-forced-convection-flow-in,167290,0,2.html |
| _version_ | 1797751034481737728 |
|---|---|
| author | K.D. Singh |
| author_facet | K.D. Singh |
| author_sort | K.D. Singh |
| collection | DOAJ |
| description | In this paper an oscillatory flow of a viscoelastic, incompressible and electrically conducting fluid through a porous medium bounded by two infinite vertical parallel plates is discussed. One of these plates is subjected to a slip-flow condition and the other to a no-slip condition. The pressure gradient in the channel oscillates with time. A magnetic field of uniform strength is applied in the direction perpendicular to the plates. The induced magnetic field is neglected due to the assumption of a small magnetic Reynolds number. The temperature difference of the two plates is also assumed high enough to induce heat transfer due to radiation. A closed form analytical solution to the problem is obtained. The analytical results are evaluated numerically and then presented graphically to discuss in detail the effects of different parameters entering into the problem. A number of particular cases have been shown by dotted curves in the figures. During the analysis it is found that the physical and the mathematical formulations of the problems by Makinde and Mhone (2005), Mehmood and Ali (2007), Kumar et al. (2010) and Choudhury and Das (2012) are not correct. The correct solutions to all these important oscillatory flow problems are deduced. |
| first_indexed | 2024-03-12T16:41:29Z |
| format | Article |
| id | doaj.art-7491712948794b6bad4bd9808fb1a7ec |
| institution | Directory Open Access Journal |
| issn | 1734-4492 2353-9003 |
| language | English |
| last_indexed | 2024-03-12T16:41:29Z |
| publishDate | 2013-12-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | International Journal of Applied Mechanics and Engineering |
| spelling | doaj.art-7491712948794b6bad4bd9808fb1a7ec2023-08-08T14:27:24ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032013-12-011841237124810.2478/ijame-2013-0075167290Effect of slip condition on viscoelastic mhd oscillatory forced convection flow in a vertical channel with heat radiationK.D. Singh0Department of Mathematics (ICDEOL) Himachal Pradesh University Summer Hill, Shimla-171005, INDIAIn this paper an oscillatory flow of a viscoelastic, incompressible and electrically conducting fluid through a porous medium bounded by two infinite vertical parallel plates is discussed. One of these plates is subjected to a slip-flow condition and the other to a no-slip condition. The pressure gradient in the channel oscillates with time. A magnetic field of uniform strength is applied in the direction perpendicular to the plates. The induced magnetic field is neglected due to the assumption of a small magnetic Reynolds number. The temperature difference of the two plates is also assumed high enough to induce heat transfer due to radiation. A closed form analytical solution to the problem is obtained. The analytical results are evaluated numerically and then presented graphically to discuss in detail the effects of different parameters entering into the problem. A number of particular cases have been shown by dotted curves in the figures. During the analysis it is found that the physical and the mathematical formulations of the problems by Makinde and Mhone (2005), Mehmood and Ali (2007), Kumar et al. (2010) and Choudhury and Das (2012) are not correct. The correct solutions to all these important oscillatory flow problems are deduced.https://www.ijame-poland.com/Effect-of-slip-condition-on-viscoelastic-mhd-oscillatory-forced-convection-flow-in,167290,0,2.htmloscillatorymhdforced convectionviscoelasticslip-flowporous medium |
| spellingShingle | K.D. Singh Effect of slip condition on viscoelastic mhd oscillatory forced convection flow in a vertical channel with heat radiation International Journal of Applied Mechanics and Engineering oscillatory mhd forced convection viscoelastic slip-flow porous medium |
| title | Effect of slip condition on viscoelastic mhd oscillatory forced convection flow in a vertical channel with heat radiation |
| title_full | Effect of slip condition on viscoelastic mhd oscillatory forced convection flow in a vertical channel with heat radiation |
| title_fullStr | Effect of slip condition on viscoelastic mhd oscillatory forced convection flow in a vertical channel with heat radiation |
| title_full_unstemmed | Effect of slip condition on viscoelastic mhd oscillatory forced convection flow in a vertical channel with heat radiation |
| title_short | Effect of slip condition on viscoelastic mhd oscillatory forced convection flow in a vertical channel with heat radiation |
| title_sort | effect of slip condition on viscoelastic mhd oscillatory forced convection flow in a vertical channel with heat radiation |
| topic | oscillatory mhd forced convection viscoelastic slip-flow porous medium |
| url | https://www.ijame-poland.com/Effect-of-slip-condition-on-viscoelastic-mhd-oscillatory-forced-convection-flow-in,167290,0,2.html |
| work_keys_str_mv | AT kdsingh effectofslipconditiononviscoelasticmhdoscillatoryforcedconvectionflowinaverticalchannelwithheatradiation |