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STREAM IN LEAN FLUID MOVIES

Project summary

We consider the slow motion of a thin viscous film flowing over a topographical feature (trench or mound) under the action of an external body force. Using the lubrication approximation, the equations of motion simplify to a single nonlinear partial differential equation for the evolution of the free surface in time and space. It is shown that the problem is by three dimensionless parameters corresponding to the feature depth, feature width and feature steepness. Quasi-steady solutions for the free surface are reported for a wide range of these parameters. Our computations reveal that the free surface develops a ridge right before the entrance to the trench or exit from the mound and that this ridge can become large for steep substrate features of significant depth. Such capillary ridges have also been observed in the contact line motion over a planar substrate where the buildup of pressure near the contact line is responsible for the ridge. For flow over topography, the ridge formation is a manifestation of the effect of the capillary pressure gradient induced by the substrate curvature. In addition, the minimum film thickness is always found near the concave corner of the feature. Both the height of the ridge and the minimum film thickness are found to be strongly dependent on both the profile depth and steepness. Finally, it is found that either finite feature width or a significant vertical component of gravity can suppress these effects in a way that is made quantitative and which allows the operative physical mechanism to be explained.

Students

Akbota Zhubatkan
Rakhim Alikhnaov
Alfarabi Duisenbayev

Guidance counsellors

Rakhman Oksuz

Institution

THROUGH GIRLS BIL
THROUGH /
  THROUGH -
  Kazakhstan

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Ariadne
Ariadne
1 year ago

👍🏾👍🏾✨

4+
Jake Duncan
Jake Duncan
1 year ago

interesting topic, nice work guys

2+
Anna
Anna
1 year ago

wooooow✨

2+
alnur
alnur
1 year ago

interesting project, keep doing guys
i will your next projects

3+
nursezim
nursezim
1 year ago

good luck 👍

3+
Max
Max
1 year ago

Wow, very interesting 👍 it was perfect thanks

3+
Nuray
Nuray
1 year ago

great🤩👍

3+
Paulo Huanitos
Paulo Huanitos
1 year ago
 Congratulations in general, I liked it, I didn't see anything like it. 
1+
Steve Van Bomel
Steve Van Bomel
1 year ago

Great job, I liked it a lot 👏🏻

1+
Duke
Duke
1 year ago

I'm really interested, I hope you'll do more in the future

2+
Akbota Zhubatkan
Akbota Zhubatkan
1 year ago
Reply to  Duke

thank you for your feedback to us ✨

0
Carlos
Carlos
1 year ago

Interesting ideas!

2+
Chicago
Chicago
1 year ago

I've never seen this kind of projects before🤩 guys, you are the best ones 👍👍

2+
Akbota Zhubatkan
Akbota Zhubatkan
1 year ago
Reply to  Chicago

oh, it's a pleasure to hear. Thank you very much 💮

0
Berdeshbayeva G.
Berdeshbayeva G.
1 year ago

A truly fascinating work! Thank you for information

2+
Akbota Zhubatkan
Akbota Zhubatkan
1 year ago

🙏 thank you. We will try harder in the future 💮

0
Bakzhan
Bakzhan
1 year ago

Wwwwwwww

2+
aizhan
aizhan
1 year ago

keremet, sattilik ✨

2+
William
William
1 year ago

Couldn't imagine that physics can be so straightforward, thank you guys!

1+
Alexa
Alexa
1 year ago

Thank you for that informative presentation

1+
Aigul
Aigul
1 year ago

Good luck!!! 👍🏼

0
Daulet
Daulet
1 year ago

Thanks for your presentation, very hopeful 👍

0

Popular vote*

Did you like it? So vote and share now:

1502+

Students

Akbota Zhubatkan
Rakhim Alikhnaov
Alfarabi Duisenbayev

Guidance counsellors

Rakhman Oksuz

Institution

ATRAV GIRLS BIL
  ATRAV –
  Cazaquistão

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