How to couple shear stress and moving velocity on the same wall?

Hi everyone!

I am trying to add a shear stress boundary condition on a growing bubble wall, which should be a moving wall boundary condition. I used to add shear stress on a fix wall by slip wall boundary condition and weak contribution. However, in this case, it is hard to couple these both slip wall and moving wall (I tried to transform moving wall into weak contribution, but it did not work out). Does anyone know the method to deal with this kind of situation?

Thanks,
YFC