A mental lapse that sometimes occurs while trying to talk and write at the same time! Good catch - you are correct, it should be vdx as stated but not written. Luckily the subsequent line at 6:55 corrects the notation.
It is just a vector property that enables us to show that the streamfunction has a constant value along a streamline. We know that the velocity vector is aligned along the streamline, and the vector dr is also specified as being aligned along the streamline. The cross product of two parallel vectors (in this case V and dr) is also zero.
A mental lapse that sometimes occurs while trying to talk and write at the same time! Good catch - you are correct, it should be vdx as stated but not written. Luckily the subsequent line at 6:55 corrects the notation.
Thank you so much!
very good explanation! thank you :)
what is the deference between stream function and stream line equation?
if we have a incompressible flow and also, the velocity V has components in i, j and k (so there's u,v and w)... can there exist a stream function?
Yep, stream function is just a flux of velocities.
Why he crossed multiply the velocity vector with dr? I didnt understand that part :/ at 5:42
It is just a vector property that enables us to show that the streamfunction has a constant value along a streamline. We know that the velocity vector is aligned along the streamline, and the vector dr is also specified as being aligned along the streamline. The cross product of two parallel vectors (in this case V and dr) is also zero.
Ron Hugo Just to find out Stream Function is a constant along a streamline?
very helpful
Excellent explanation,thanks a lot
6:42 You said vdx but you wrote vdy.