Hi There
I work for a mechanical seal manufacturer.
It is normal for the seal pot to rise in temperature under normal operation. This means you are dumping heat from the mechanical seal. You should also notice that one of the two pipes is hotter. This will let you know that the system is "thermosyphoning" correctly.
In most cases we take the customers process information (seal size and type, pressures, process temp, ambient temp, barrier fluid etc). We use this to calculate the amount of energy (heat) that you need to remove from the system.
It could be that your system is running fine but it would be worth checking with your manufacturer. It could be that you require additional measures to remove more heat. This could be as simple as some finned tubing on the pipes to and from the seal. If you need to remove more heat you may need a vessel with a cooling coil.
If you would like me to run your process info through my software just let me know.
Thanks
S