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Posted:
5 years ago
10 mag 2019, 08:27 GMT-4
Updated:
5 years ago
10 mag 2019, 08:28 GMT-4
I am not familiar with the fluid flow modules, but in the moving wall
condition, is it not possible to specify a vector expression for the wall's velocity?
If the above is possible, then you could input the local instaneous velocity as a function of spatial coordinates. So for a point
such that
is equal to the inner cylinder's radius, I would expect this velocity assuming a constant pulsation ![](data:image/png;base64,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)
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where the sign of
determines whether the rotation is clockwise or counter-clockwise.
Note that I assumed that the axis
is both the axis of symmetry and the axis of rotation of the inner cylinder. You have to tinker a little bit if your origin is different.
I am not familiar with the fluid flow modules, but in the `moving wall` condition, is it not possible to specify a vector expression for the wall's velocity?
If the above is possible, then you could input the local instaneous velocity as a function of spatial coordinates. So for a point P=(x_P, y_P, z_P) = (r_P, \theta_P, z_P) such that r_P is equal to the inner cylinder's radius, I would expect this velocity assuming a constant pulsation \omega
||\vec v|| = r_P |\omega|
v_x = \sin(\theta_P) \cdot r_P \cdot \omega
v_y = - \cos(\theta_P) \cdot r_P \cdot \omega
v_z = 0
where the sign of \omega determines whether the rotation is clockwise or counter-clockwise.
Note that I assumed that the axis (x, y, z) = (0, 0, z) is both the axis of symmetry and the axis of rotation of the inner cylinder. You have to tinker a little bit if your origin is different.
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Posted:
5 years ago
10 mag 2019, 08:29 GMT-4
Actually, I just realized that the pulsation ω needs not to be constant for this to work.
Actually, I just realized that the pulsation ω needs not to be constant for this to work.