Your lucky. Some of the fires are attached to the boiler. The flue gases usually go up the centre tube with air drawn in around it via the outer pipe. It's safer that way , if the flue pipe leaks it goes into the incoming air instead of possibly into the room. It can also be detected by flue gas analysis. Some have two separate pipes. They were a horrible thing to fit
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That makes sense for safety.
The plumber who installed the BBU HE did not use the front fire to rear boiler cable wire attachment system.
He used a wide velcro on the fire & hearth, it sounded a bodge at the time but works well, you can remove the front fire & move it away from the boiler without having to disconnect the power cable.
My original Baxi Bermuda back boiler/gas fire was like that, not condensing so it was super reliable. It never broke down in over 25 years , I replaced it when it started kettling quite badly, not as efficient as the later condensing type. The original central heating was installed by the builder, it was a Baxi Bermuda Back boiler with a wooden surround to the gas fire front. That boiler lasted from 1968 to 1987, replaced due to a corroded heat exchanger for a modern version of the same boiler/gas fire front that lasted from 1987 to 2014. At the time I could afford the new boiler but not to convert from Primatic to a fully pumped system, had I done so it would probably have lasted even longer.
Photo to show the end finish that the wife loves.
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PXL_20250115_095834396 by
Macabe Thiele, on Flickr
This is the boiler behind the electric fire with the front cover off, the condensate tank has been removed, hence the gap lower left,revealing how corrosive the water is as it has overflowed into the base of the boiler..
PXL_20240129_144855822 by
Macabe Thiele, on Flickr