I freely admit that I know next to nowt about plumbing but googling keeps finding links that suggest the main heat exchanger has become blocked and that a chemical flush of the system, such as one performed in the video below, might well fix the problem for you:
A heating maintenance/installation engineer would probably have a good idea of the problem as soon as he heard the noise. An honest one would then sort it out for a fair price.
Low water pressure (caused by faulty pressure flow regulator not letting enough water through.) That could result in a sound rather like a kettle with hardly any water in it... making spurtling noises.
Maybe limescale.
Atheist is right. These things invariably need an experienced ear on the case. That usually gets to the bottom of it.
As I often say... so many components that could cause this. You need to be there to give any sensible causes.
Funny thing is that if you turn a hot tap on upstairs in the bathroom , you don't get the noise - it's only from turning on a hot tap downstairs in the kitchen
Baz... that could help. It does suggest that it is not a boiler problem.
Possibly something with the kitchen tap. I guess it's a mixer tap, which will incorporate a mixer cartridge.
To find out... I would get under the sink and break into the hot pipework. Maybe a connection somewhere that can be disconnected.
I'd then turn on the boiler and run water into a bucket, thus bypassing the tap.
How it behaves might explain a lot.