From what I have learned in the past, j (Colburn factor) is a function of Nusselt, Reynolds and Prandtl number:
j= Nu/(Re*Pr^(1/3))
But, looking at it, since those are dimensionless groups, I suppose any temperature would have an effect since it is cancelled in the equation.
An article that I read states this:
"The Colburn j factors decrease as the fin pitch and the number of tube rows increase. For wavy fin, the Colburn j factors increase with the increase of the inlet relative humidity, but for interrupted fin, the Colburn j factors are relatively insensitive to the change of the inlet relative humidity. "
That's the best I can contribute for now.
God bless.