I want to implement slip boundary condition for compressible N-S equations, but I can’t find the formula on the google, could you please recommend some papers about it? thanks
I would recommend giving heed to the work of Élisabeth Charlaix on this.
If I understand her perspective correctly, she suggests slip is sometimes an artifact generated by using a particular restricted version of the Navier-Stokes equation, which can be resolved by using the complex number variant of the equations (viscoelastic impedance)
https://doi.org/10.1103/PhysRevFluids.3.062001
https://doi.org/10.1103/PhysRevLett.94.056102
More general discussion of the chemistry at
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