turn down vs turn away

turn down and turn away both are verbs.

Word	Noun	Adjective	Verb	Adverb
turn down	No	No	Yes	No
turn away	No	No	Yes	No

As verbs, turn down and turn away are synonyms defined as:

Other synonyms of turn down include refuse, reject.

turn down (verb)	turn away (verb)
make lower or quieter	turn from a straight course, fixed direction, or line of interest
take a downward direction	turn away or aside
reject with contempt	move so as not face somebody or something
not accept as true	refuse entrance or membership
refuse entrance or membership