smell vs reek

smell and reek both are nouns.

Word	Noun	Adjective	Verb	Adverb
smell	Yes	No	Yes	No
reek	Yes	No	Yes	No

As nouns, reek is a hyponym of smell; that is, reek is a word with a more specific, narrower meaning than smell:

smell: the sensation that results when olfactory receptors in the nose are stimulated by particular chemicals in gaseous form
reek: a distinctive odor that is offensively unpleasant

As verbs, reek is a hyponym of smell; that is, reek is a word with a more specific, narrower meaning than smell:

Other hyponyms of smell include stink, salute.

As verbs, smell and reek are synonyms defined as:

Other synonyms of smell include smack.

smell (noun)	reek (noun)
the act of perceiving the odor of something	a distinctive odor that is offensively unpleasant
any property detected by the olfactory system
the faculty that enables us to distinguish scents
the sensation that results when olfactory receptors in the nose are stimulated by particular chemicals in gaseous form
the general atmosphere of a place or situation and the effect that it has on people

smell (verb)	reek (verb)
become aware of not through the senses but instinctively	be wet with sweat or blood, as of one's face
emit an odor	smell badly and offensively
inhale the odor of; perceive by the olfactory sense	have an element suggestive (of something)
smell bad	give off smoke, fumes, warm vapour, steam, etc.
have an element suggestive (of something)