Flow Development: Is psi = 4y - (y^3)/3 Fully Developed?

[banerjeerupak]

Homework Statement

The following stream function holds for a certain flow of water at 20 C.
psi = 4y - (y^3)/3.

Is this flow fully developed?

Homework Equations

psi = 4y - (y^3)/3.

The Attempt at a Solution

How am i suppose to tell if a flow is fully developed or not from the stream function? Direct me to what should i study to find the answer.

 

[banerjeerupak]

I found the solution ..so here it is... for a flow to be fully developed, it should have no change in the u component. i.e. du/dx = 0

 

[kerimek]

I understand your confusion about determining whether a flow is fully developed or not based on the stream function alone. In order to determine if a flow is fully developed, we need to analyze the velocity profile of the flow. This can be done by studying the Navier-Stokes equations and applying the boundary conditions for fully developed flow. Additionally, we can use experimental techniques such as flow visualization or measuring the velocity profile at different points in the flow to determine if it is fully developed. I suggest studying fluid mechanics and specifically the concept of fully developed flow to gain a better understanding of how to determine this in the future.