How to Calculate Curl for a Rectangular Fluid Path

[don_anon25]

Calculate the average value of the curl of the fluid for a rectangular path 15 cm by 10 cm, as shown in the figure (see file attachment).

Va=(10i + 5j)
Vb = (5i+10j)
Vc= (5i + 10j)
Vd = (10i + 5j)

Could someone help me to get started with this one? Please

Maybe give me an example of how to calculate the curl for one side??

 

[quantumdude]

Hi,

I went to the moderation queue to approve your attachment, but it was not there.

Could you try to upload it again?

 

[amcavoy]

Calculate the average value of the curl of the fluid for a rectangular path 15 cm by 10 cm, as shown in the figure (see file attachment).

Va=(10i + 5j)
Vb = (5i+10j)
Vc= (5i + 10j)
Vd = (10i + 5j)

Could someone help me to get started with this one? Please

Maybe give me an example of how to calculate the curl for one side??

If I'm not mistaken, the curl of one side (ex. side A) would be the following:

$$\vec{V_a}\times\nabla=\det{\begin{bmatrix}\mathbf{i} & \mathbf{j} & \mathbf{k} \\ 10 & 5 & 0 \\ \frac{\partial}{\partial x} & \frac{\partial}{\partial y} & \frac{\partial}{\partial z}\end{bmatrix}}=0$$