Velocity of long bubbles transported by a liquid in horizontal channel
The influence of flowing liquid on the motion of long bubbles in horizontal channel is studied theoretically. The method of Benjamin (1968) is extended to the case of moving liquid: the liquid is inviscid, the surface tension is ignored and the liquid motion at infinity is characterized its velocity...
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| Format: | Article |
| Language: | English |
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Publishing House for Science and Technology
2010-10-01
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| Series: | Vietnam Journal of Mechanics |
| Online Access: | https://vjs.ac.vn/index.php/vjmech/article/view/305 |
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| author | Ha Ngoc Hien Jean Fabre |
| author_facet | Ha Ngoc Hien Jean Fabre |
| author_sort | Ha Ngoc Hien |
| collection | DOAJ |
| description | The influence of flowing liquid on the motion of long bubbles in horizontal channel is studied theoretically. The method of Benjamin (1968) is extended to the case of moving liquid: the liquid is inviscid, the surface tension is ignored and the liquid motion at infinity is characterized its velocity profile. The exact solutions for the bubble velocity and the liquid film thickness are given under an integral form. An approximate analytical solution can be found when the mean liquid velocity is weak enough versus the drift velocity. Two cases are investigated: the Couette flow and the Poiseuille flow. At first order, the two cases lead to identical solutions. The influence of the velocity distribution appears only at the second order. |
| format | Article |
| id | doaj-art-6ca6cc5332a84c8598f3a8a964fbcdec |
| institution | OA Journals |
| issn | 0866-7136 2815-5882 |
| language | English |
| publishDate | 2010-10-01 |
| publisher | Publishing House for Science and Technology |
| record_format | Article |
| series | Vietnam Journal of Mechanics |
| spelling | doaj-art-6ca6cc5332a84c8598f3a8a964fbcdec2025-08-20T02:10:39ZengPublishing House for Science and TechnologyVietnam Journal of Mechanics0866-71362815-58822010-10-0132310.15625/0866-7136/32/3/305Velocity of long bubbles transported by a liquid in horizontal channelHa Ngoc Hien0Jean Fabre1Institute of MechanicsInstitut de Mécanique des Fluides de Toulouse, FranceThe influence of flowing liquid on the motion of long bubbles in horizontal channel is studied theoretically. The method of Benjamin (1968) is extended to the case of moving liquid: the liquid is inviscid, the surface tension is ignored and the liquid motion at infinity is characterized its velocity profile. The exact solutions for the bubble velocity and the liquid film thickness are given under an integral form. An approximate analytical solution can be found when the mean liquid velocity is weak enough versus the drift velocity. Two cases are investigated: the Couette flow and the Poiseuille flow. At first order, the two cases lead to identical solutions. The influence of the velocity distribution appears only at the second order.https://vjs.ac.vn/index.php/vjmech/article/view/305 |
| spellingShingle | Ha Ngoc Hien Jean Fabre Velocity of long bubbles transported by a liquid in horizontal channel Vietnam Journal of Mechanics |
| title | Velocity of long bubbles transported by a liquid in horizontal channel |
| title_full | Velocity of long bubbles transported by a liquid in horizontal channel |
| title_fullStr | Velocity of long bubbles transported by a liquid in horizontal channel |
| title_full_unstemmed | Velocity of long bubbles transported by a liquid in horizontal channel |
| title_short | Velocity of long bubbles transported by a liquid in horizontal channel |
| title_sort | velocity of long bubbles transported by a liquid in horizontal channel |
| url | https://vjs.ac.vn/index.php/vjmech/article/view/305 |
| work_keys_str_mv | AT hangochien velocityoflongbubblestransportedbyaliquidinhorizontalchannel AT jeanfabre velocityoflongbubblestransportedbyaliquidinhorizontalchannel |