How do k and epsilon vary with velocity?

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I'm using velocity, k and epsilon data obtained from a global model and applying it as the boundary conditions in a more detailed local model. From the local model I am obtaining force coefficients on bodies within the model.

However, I'd now like to see the effects of Reynolds number on the force coefficient so effectively intend to increase the velocities at the boundaries by a certain factor instead of solving another global model at the higher velocities.

I can't figure out how the values of k and epsilon will vary with an increase in the velocity. Looking at the units I would assume k varies with the square of V but I am not sure of epsilon.

Very much hope someone can help me.

Thanks a lot, Nick.