Dear sweetfood,
Take care of this task because it is not as easy as it seems at first sight.
The right approach is by trying to keep (as much as possible) the same relations A/V (I mean, square feet/cubit feet) for heat transfer and P/V (Watts/cubic feet) for agitation in both reactors.
The U (Global Heat Transfer Coefficiente) includes a lot more data than you have mentioned in your post (the k aplies only to reactor wall, you need to calculate the convective heat transfer conditions and estimate the fouling factors - internal and external - to at least have a gross estimative of U) shoud be needed only if you want/need to change one of the equipmente conditions and, in this case, the material used to be the less important item to take into consideration. Unfortunnatelly in most cases it is necessary to increase industrial area to at least reach the minimun heat load for your new volume.
In this case, please sendo more data and I will try to show you the best way I can.
Reagards,
LCMS.