Effect of Variable Gravity on Darcy Flow with Impressed Horizontal Gradient and Viscous Dissipation
The effect of variable gravity on the free convection in a horizontal porous layer with viscous dissipation is investigated. The bottom boundary is taken as adiabatic and there is a non-uniform temperature distribution along the upper boundary. The effect of viscous dissipation is significant and...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Isfahan University of Technology
2016-01-01
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| Series: | Journal of Applied Fluid Mechanics |
| Subjects: | |
| Online Access: | http://jafmonline.net/JournalArchive/download?file_ID=40919&issue_ID=236 |
| _version_ | 1818499228064808960 |
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| author | Kamalika Roy P. V. S. N. Murthy |
| author_facet | Kamalika Roy P. V. S. N. Murthy |
| author_sort | Kamalika Roy |
| collection | DOAJ |
| description | The effect of variable gravity on the free convection in a horizontal porous layer with viscous dissipation
is investigated. The bottom boundary is taken as adiabatic and there is a non-uniform
temperature distribution along the upper boundary. The effect of viscous dissipation is significant
and the top boundary temperature distribution is assumed to have a constant gradient. The gravity
varies linearly with the height. A linear stability analysis of the basic flow is carried out. The critical
horizontal Rayleigh number is calculated for oblique roll disturbances. The longitudinal rolls are
found to be the most unstable ones. The viscous dissipation has a destabilizing effect. There is a
drastic decrease in the value of critical horizontal Rayleigh number when modified variable gravity
parameter changes from 1 to 1. |
| first_indexed | 2024-12-10T20:26:35Z |
| format | Article |
| id | doaj.art-0f538c9a4fdf415da8b882ee2a811d51 |
| institution | Directory Open Access Journal |
| issn | 1735-3572 |
| language | English |
| last_indexed | 2024-12-10T20:26:35Z |
| publishDate | 2016-01-01 |
| publisher | Isfahan University of Technology |
| record_format | Article |
| series | Journal of Applied Fluid Mechanics |
| spelling | doaj.art-0f538c9a4fdf415da8b882ee2a811d512022-12-22T01:34:49ZengIsfahan University of TechnologyJournal of Applied Fluid Mechanics1735-35722016-01-019526212628.Effect of Variable Gravity on Darcy Flow with Impressed Horizontal Gradient and Viscous DissipationKamalika Roy0P. V. S. N. Murthy1IIT KharagpurDepartment of mathematics, Indian Institute of Technology Kharagpur, IndiaThe effect of variable gravity on the free convection in a horizontal porous layer with viscous dissipation is investigated. The bottom boundary is taken as adiabatic and there is a non-uniform temperature distribution along the upper boundary. The effect of viscous dissipation is significant and the top boundary temperature distribution is assumed to have a constant gradient. The gravity varies linearly with the height. A linear stability analysis of the basic flow is carried out. The critical horizontal Rayleigh number is calculated for oblique roll disturbances. The longitudinal rolls are found to be the most unstable ones. The viscous dissipation has a destabilizing effect. There is a drastic decrease in the value of critical horizontal Rayleigh number when modified variable gravity parameter changes from 1 to 1.http://jafmonline.net/JournalArchive/download?file_ID=40919&issue_ID=236darcy flow; variable gravity; viscous dissipation. |
| spellingShingle | Kamalika Roy P. V. S. N. Murthy Effect of Variable Gravity on Darcy Flow with Impressed Horizontal Gradient and Viscous Dissipation Journal of Applied Fluid Mechanics darcy flow; variable gravity; viscous dissipation. |
| title | Effect of Variable Gravity on Darcy Flow with Impressed Horizontal Gradient and Viscous Dissipation |
| title_full | Effect of Variable Gravity on Darcy Flow with Impressed Horizontal Gradient and Viscous Dissipation |
| title_fullStr | Effect of Variable Gravity on Darcy Flow with Impressed Horizontal Gradient and Viscous Dissipation |
| title_full_unstemmed | Effect of Variable Gravity on Darcy Flow with Impressed Horizontal Gradient and Viscous Dissipation |
| title_short | Effect of Variable Gravity on Darcy Flow with Impressed Horizontal Gradient and Viscous Dissipation |
| title_sort | effect of variable gravity on darcy flow with impressed horizontal gradient and viscous dissipation |
| topic | darcy flow; variable gravity; viscous dissipation. |
| url | http://jafmonline.net/JournalArchive/download?file_ID=40919&issue_ID=236 |
| work_keys_str_mv | AT kamalikaroy effectofvariablegravityondarcyflowwithimpressedhorizontalgradientandviscousdissipation AT pvsnmurthy effectofvariablegravityondarcyflowwithimpressedhorizontalgradientandviscousdissipation |