What type of flow is represented by these equations?

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In summary, "flow" in this context refers to the movement of a substance through a space or medium. The type of flow is determined by factors such as substance properties, velocity, and boundaries, and can include laminar, turbulent, transitional, and steady/unsteady flow. The type of flow can affect properties like pressure, velocity, and mixing, and real-world examples include blood flow, river flow, and air flow around an airplane wing.
  • #1
jhuleea
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Hi,

I'm unsure as to what type of flow this is:

Stream Function: psi = -ln(r) + theta
Potential Function: phi = theta + ln(r)

For some reason, I don't think I'm plotting the flow correctly. Suggestions/advice? Thanks!
 
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  • #2
Have you tried calculating the velocity profiles from the stream and potential functions? Can you show your work?
 
  • #3


Based on the given equations, it seems like the flow could be potential flow. The presence of both a stream function and a potential function suggests that the flow is irrotational and incompressible, which are characteristics of potential flow. However, without more context or information about the problem, it's difficult to say for sure. As for plotting the flow, it's possible that there may be an error in the equations or the plotting method being used. I would suggest double-checking the equations and trying different plotting techniques to see if that helps. If you're still having trouble, it may be helpful to consult a professor or classmate for advice. Good luck!
 

FAQ: What type of flow is represented by these equations?

What is meant by "flow" in this context?

"Flow" in this context refers to the movement or motion of a substance, such as a liquid or gas, through a certain space or medium.

How do you determine the type of flow?

The type of flow is determined by several factors, including the properties of the substance (such as viscosity and density), the velocity and direction of the flow, and the presence of any boundaries or obstacles.

What are the different types of flow?

The different types of flow include laminar flow, turbulent flow, transitional flow, and steady and unsteady flow. These are characterized by different patterns of fluid motion and can be classified based on various parameters.

How does the type of flow affect the behavior of the substance?

The type of flow can affect various properties of the substance, such as its pressure, velocity, and mixing. For example, laminar flow is typically smooth and steady, while turbulent flow is chaotic and can cause mixing and mixing of different substances.

What are some real-world examples of different types of flow?

Laminar flow can be seen in the flow of blood through blood vessels, while turbulent flow can be observed in a river or in the smoke coming out of a chimney. Transitional flow can be seen in the flow of water through a faucet, and steady and unsteady flow can be seen in the movement of air around an airplane wing.

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