Effect of Vertical Vibrations on the Onset of Binary Convection
In the present work the linear stability analysis of double diffusive convection in a binary fluid layer is performed. The major intention of this study is to investigate the influence of time-periodic vertical vibrations on the onset threshold. A regular perturbation method is used to compute the c...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Zielona Góra
2013-08-01
|
| Series: | International Journal of Applied Mechanics and Engineering |
| Subjects: | |
| Online Access: | https://www.ijame-poland.com/Effect-of-Vertical-Vibrations-on-the-Onset-of-Binary-Convection,167311,0,2.html |
| _version_ | 1797751021419626496 |
|---|---|
| author | M.S. Swamy |
| author_facet | M.S. Swamy |
| author_sort | M.S. Swamy |
| collection | DOAJ |
| description | In the present work the linear stability analysis of double diffusive convection in a binary fluid layer is performed. The major intention of this study is to investigate the influence of time-periodic vertical vibrations on the onset threshold. A regular perturbation method is used to compute the critical Rayleigh number and wave number. A closed form expression for the shift in the critical Rayleigh number is calculated as a function of frequency of modulation, the solute Rayleigh number, Lewis number, and Prandtl number. These parameters are found to have a significant influence on the onset criterion; therefore the effective control of convection is achieved by proper tuning of these parameters. Vertical vibrations are found to enhance the stability of a binary fluid layer heated and salted from below. The results of this study are useful in the areas of crystal growth in micro-gravity conditions and also in material processing industries where vertical vibrations are involved |
| first_indexed | 2024-03-12T16:41:19Z |
| format | Article |
| id | doaj.art-406dad1844604e4dad24443401a6e63f |
| institution | Directory Open Access Journal |
| issn | 1734-4492 2353-9003 |
| language | English |
| last_indexed | 2024-03-12T16:41:19Z |
| publishDate | 2013-08-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | International Journal of Applied Mechanics and Engineering |
| spelling | doaj.art-406dad1844604e4dad24443401a6e63f2023-08-08T14:27:14ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032013-08-0118389991010.2478/ijame-2013-0054167311Effect of Vertical Vibrations on the Onset of Binary ConvectionM.S. Swamy0Department of Mathematics, Government College Gulbarga 585 105, Karnataka, INDIAIn the present work the linear stability analysis of double diffusive convection in a binary fluid layer is performed. The major intention of this study is to investigate the influence of time-periodic vertical vibrations on the onset threshold. A regular perturbation method is used to compute the critical Rayleigh number and wave number. A closed form expression for the shift in the critical Rayleigh number is calculated as a function of frequency of modulation, the solute Rayleigh number, Lewis number, and Prandtl number. These parameters are found to have a significant influence on the onset criterion; therefore the effective control of convection is achieved by proper tuning of these parameters. Vertical vibrations are found to enhance the stability of a binary fluid layer heated and salted from below. The results of this study are useful in the areas of crystal growth in micro-gravity conditions and also in material processing industries where vertical vibrations are involvedhttps://www.ijame-poland.com/Effect-of-Vertical-Vibrations-on-the-Onset-of-Binary-Convection,167311,0,2.htmlgravity modulationg-jitterdouble diffusive convectionperturbation method |
| spellingShingle | M.S. Swamy Effect of Vertical Vibrations on the Onset of Binary Convection International Journal of Applied Mechanics and Engineering gravity modulation g-jitter double diffusive convection perturbation method |
| title | Effect of Vertical Vibrations on the Onset of Binary Convection |
| title_full | Effect of Vertical Vibrations on the Onset of Binary Convection |
| title_fullStr | Effect of Vertical Vibrations on the Onset of Binary Convection |
| title_full_unstemmed | Effect of Vertical Vibrations on the Onset of Binary Convection |
| title_short | Effect of Vertical Vibrations on the Onset of Binary Convection |
| title_sort | effect of vertical vibrations on the onset of binary convection |
| topic | gravity modulation g-jitter double diffusive convection perturbation method |
| url | https://www.ijame-poland.com/Effect-of-Vertical-Vibrations-on-the-Onset-of-Binary-Convection,167311,0,2.html |
| work_keys_str_mv | AT msswamy effectofverticalvibrationsontheonsetofbinaryconvection |