An example of an analogy (drawing on an alternative conception) in popular science writing:
"In one part of the ocean, a drain hole sucks in all the water around it. At a specific distance form the the drain hole, which is determined by how powerfully it sucks the water, the inward speed of the water flow reaches and then exceeds the speed of sound.
…
So what's the relevance of this drain hole to a black hole? The analogy works, roughly, as follows: The drain sucking water towards it is equivalent to the singularity at the centre of a black hole sucking space towards it. …"
Paul Sen (2022) Einstein's Fridge. The science of fire, ice and the universe. William Collins.
[A drain hole does not actively suck anything in – higher pressure outside the hole leads to a net force that pushes water in. Read about 'sucking'.]
Read examples of scientific analogies
Read about the nature of alternative conceptions
Read about some examples of science misconceptions
Read about historical scientific conceptions