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Her problem is the bucket remains liquid but the NIPPLES on the bottom freeze
But to answer your question, a normal fountain type waterer sitting directly on a "cookie tin" heater isn't likely to freeze above the base IF your bulb is large enough.
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Not much would really be "wasted" since the sides and top of the heater will warm the air, which will rise up around the nipples
The outside of the heater probably won't be too hot to touch unless the bulb is in contact with the sides or top.
If it IS, a simple wire "cage" could be put...
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It only has to keep things above 32 degrees, so not a lot of heat is needed
It is NOT a radiant heat source if set up as I described, but would actually be the same convection you're saying is needed, but without having to use a fan
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A simple "cookie tin" heater will accomplish that.
It's just a normal light bulb ( NOT a "heat lamp) in a box, which in your case would have to be waterproof
One thing that would work well would be a 12 X 12 ceramic tile on top of a fully enclosed container of some sort.
Just use your...