The air blast will kill you only if you are fairly close. It loses energy rapidly the further it is away from the centre. The real damage come from flying shrapnel and debris which take much further to slow down. The heat is a minor thing except in nuclear blasts.
A hand grenade air blast will only cause damage 1-3 ft away. However, it is designed to fragment into lost of metal bits which will kill or wound from 10-20 ft away.
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