How Does Velocity Affect Heat Transfer Coefficient Using the Colburn Equation?

[cruckshank]

Hi, I need to use the Colburn Equation, Nu = 0.023Re^0.8Pr^0.333 to write a simple general expression for the relationship between convection heat transfer coefficient and velocity.

I've been thinking about this for a while, but can't really figure out where to go beyond writing the Reynolds and Prandtl Numbers out in their expanded form.

Thanks in advance!

 

[gfd43tg]

What about writing the Nusselt number in its expanded form?

 

[Chestermiller]

Is this for a specific fluid, or does it have to work for any fluid?