Please look at these streamlines

  • Thread starter hanson
  • Start date
In summary, streamlines are imaginary lines that represent the flow pattern of a fluid and are calculated using the continuity equation. They provide information about the direction, magnitude, and areas of high and low velocity of a fluid, and can also reveal the presence of vortices and turbulence. Streamlines are used in scientific research and engineering to study and design efficient structures, and can also be used to predict the behavior of fluids, though their predictions may not always be completely accurate due to simplifications and assumptions.
  • #1
hanson
319
0
Hi all.
From the internet, I found the following picture for streamlines of a solitary wave passing a submersed object.
Do you find these streamlines strange?
And I guess the streamlines for a traveling solitary wave without such a submersed object shall be similar for the upper part?
 

Attachments

  • save2.JPG
    save2.JPG
    24.7 KB · Views: 409
Physics news on Phys.org
  • #2
You are right... There is an analytic way to come with such behavior in ode's. It's called boundary layer.
 
  • #3


Thank you for sharing the picture of the streamlines for a solitary wave passing a submersed object. After taking a closer look, I can see that the streamlines do appear to have some unusual patterns. The presence of the submersed object seems to have caused some disturbance in the flow of the wave, resulting in curved and intersecting streamlines.

I agree with your assumption that the streamlines for a traveling solitary wave without a submersed object would likely be similar in the upper part. However, the lower part may have a different flow pattern due to the absence of the object. It would be interesting to compare the two scenarios to see the impact of a submersed object on the flow of a solitary wave.

Overall, it is always fascinating to see the visual representation of fluid dynamics and how different factors can affect the flow patterns. Thank you for sharing this interesting image and sparking a discussion on streamlines.
 

1. What are streamlines?

Streamlines are a visual representation of the flow pattern of a fluid. They are imaginary lines that show the direction and magnitude of the velocity of a fluid at different points.

2. How are streamlines calculated?

Streamlines are calculated using the continuity equation, which relates the velocity of a fluid to its density and the rate of change of the fluid's volume. This equation is solved using numerical methods to determine the path of the streamlines.

3. What information can be obtained from streamlines?

Streamlines provide information about the flow pattern of a fluid, including its direction, magnitude, and areas of high and low velocity. They can also reveal the presence of vortices and areas of turbulence.

4. How are streamlines used in scientific research?

Streamlines are used in various fields of science, such as fluid dynamics, aerodynamics, and oceanography, to study the behavior of fluids. They are also used in engineering to design efficient and streamlined structures, such as airplanes and ships.

5. Can streamlines be used to predict the behavior of fluids?

Yes, streamlines can be used to predict the behavior of fluids in different scenarios, such as in pipes, around obstacles, and in different flow conditions. However, they are based on assumptions and simplifications, so their predictions may not always be completely accurate.

Similar threads

  • Differential Equations
Replies
2
Views
4K
  • Differential Equations
Replies
2
Views
2K
Replies
7
Views
2K
Replies
6
Views
4K
  • Calculus and Beyond Homework Help
Replies
6
Views
3K
Replies
2
Views
1K
Replies
10
Views
799
  • Quantum Interpretations and Foundations
2
Replies
43
Views
896
  • Mechanical Engineering
Replies
31
Views
2K
  • Quantum Physics
Replies
2
Views
2K
Back
Top