Flow of a dusty fluid due to Wavy motion of a wall for moderately large Reynolds numbers
The two-dimensional flow of a dusty fluid induced by sinusoidal wavy motion of an infinite wavy wall is considered for Reynolds numbers which are of magnitude greater than unity. While the velocity components of the fluid and the dust particles along the axial direction consist of a mean steady flow...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1989-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171289000694 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832564982677504000 |
|---|---|
| author | V. Ramamurthy U. S. Rao |
| author_facet | V. Ramamurthy U. S. Rao |
| author_sort | V. Ramamurthy |
| collection | DOAJ |
| description | The two-dimensional flow of a dusty fluid induced by sinusoidal wavy motion
of an infinite wavy wall is considered for Reynolds numbers which are of magnitude
greater than unity. While the velocity components of the fluid and the dust particles
along the axial direction consist of a mean steady flow and a periodic flow, the
transverse components of both the fluid and the dust consist only of a periodic
flow. This is true both for the outer flow (the flow beyond the boundary layer) and
the inner flow (boundary layer flow). It is found that the mean steady flow is
proportional to the ratio 4π2a2/L2(a/L<<1)
, where a and L are the amplitude and the
wavelength of the wavy wall, respectively. Graphs of the velocity components, both
for the outer flow and the inner flow for various values of mass - concentration of
the dust particles are drawn. It is found that the steady flow velocities of the
fluid and the dust particles approach to a constant value. Certain interesting
results regarding the axial and the transverse velocity components are also discussed. |
| format | Article |
| id | doaj-art-a76f394e1e404e85a8c14cbd51f247cb |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1989-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a76f394e1e404e85a8c14cbd51f247cb2025-02-03T01:09:44ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251989-01-0112355957810.1155/S0161171289000694Flow of a dusty fluid due to Wavy motion of a wall for moderately large Reynolds numbersV. Ramamurthy0U. S. Rao1Department of Mathematics, Indian Institute of Technology, Kharagpur 721302, IndiaDepartment of Mathematics, Indian Institute of Technology, Kharagpur 721302, IndiaThe two-dimensional flow of a dusty fluid induced by sinusoidal wavy motion of an infinite wavy wall is considered for Reynolds numbers which are of magnitude greater than unity. While the velocity components of the fluid and the dust particles along the axial direction consist of a mean steady flow and a periodic flow, the transverse components of both the fluid and the dust consist only of a periodic flow. This is true both for the outer flow (the flow beyond the boundary layer) and the inner flow (boundary layer flow). It is found that the mean steady flow is proportional to the ratio 4π2a2/L2(a/L<<1) , where a and L are the amplitude and the wavelength of the wavy wall, respectively. Graphs of the velocity components, both for the outer flow and the inner flow for various values of mass - concentration of the dust particles are drawn. It is found that the steady flow velocities of the fluid and the dust particles approach to a constant value. Certain interesting results regarding the axial and the transverse velocity components are also discussed.http://dx.doi.org/10.1155/S0161171289000694 |
| spellingShingle | V. Ramamurthy U. S. Rao Flow of a dusty fluid due to Wavy motion of a wall for moderately large Reynolds numbers International Journal of Mathematics and Mathematical Sciences |
| title | Flow of a dusty fluid due to Wavy motion of a wall for moderately large Reynolds numbers |
| title_full | Flow of a dusty fluid due to Wavy motion of a wall for moderately large Reynolds numbers |
| title_fullStr | Flow of a dusty fluid due to Wavy motion of a wall for moderately large Reynolds numbers |
| title_full_unstemmed | Flow of a dusty fluid due to Wavy motion of a wall for moderately large Reynolds numbers |
| title_short | Flow of a dusty fluid due to Wavy motion of a wall for moderately large Reynolds numbers |
| title_sort | flow of a dusty fluid due to wavy motion of a wall for moderately large reynolds numbers |
| url | http://dx.doi.org/10.1155/S0161171289000694 |
| work_keys_str_mv | AT vramamurthy flowofadustyfluidduetowavymotionofawallformoderatelylargereynoldsnumbers AT usrao flowofadustyfluidduetowavymotionofawallformoderatelylargereynoldsnumbers |