The Collaborative International Dictionary of English v.0.48:

Air \Air\ ([^a]r), v. t. [imp. & p. p. Aired ([^a]rd); p. pr.
   & vb. n. Airing.] [See Air, n., and cf. A["e]rate.]
   1. To expose to the air for the purpose of cooling,
      refreshing, or purifying; to ventilate; as, to air a room.
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            It were good wisdom . . . that the jail were aired.
                                                  --Bacon.
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            Were you but riding forth to air yourself. --Shak.
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   2. To expose for the sake of public notice; to display
      ostentatiously; as, to air one's opinion.
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            Airing a snowy hand and signet gem.   --Tennyson.
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   3. To expose to heat, for the purpose of expelling dampness,
      or of warming; as, to air linen; to air liquors.
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The Collaborative International Dictionary of English v.0.48:

Airing \Air"ing\ ([^a]r"[i^]ng), n.
   1. A walk or a ride in the open air; a short excursion for
      health's sake.
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   2. An exposure to air, or to a fire, for warming, drying,
      etc.; as, the airing of linen, or of a room.
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WordNet (r) 3.0 (2006):

airing
    n 1: the opening of a subject to widespread discussion and
         debate [syn: dissemination, airing, public exposure,
         spreading]
    2: a short excursion (a walk or ride) in the open air; "he took
       the dogs for an airing"
    3: the act of supplying fresh air and getting rid of foul air
       [syn: ventilation, airing]