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Periodical boundary condition conflicts with inlet boundary condition

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I am doing a simulation of a tube. To reduce the calculation scale, I would like to simulate only a little portion of this tube by using periodical boundary condition. By this boundary condition, I want to link the inlet and the outlet of this small pipe.

But the problem is that I can't apply the inlet boundary condition . That's because the inlet boundary condition will be overridden by periodical boundary condition.

In order to solve the problem, I set the initial velocity as the same as the designed inlet velocity. However, since the wall is not a slip wall, the flow will come to a steady state when all the energy of flow is dissipated and the velocity becomes almost zero.

Is there anyone who can help me to solve this puzzle? Thank you!!!

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