A phrase used in weather forecasts when some quite sharp bursts of rain are expected from large areas of unstable medium cloud - with some 'rumbles' of thunder; the thunder not the most significant feature of the situation, and no well developed thunderstorms with associated hail, squally winds etc., are expected.
THUNDERY RAIN
Meaning of THUNDERY RAIN in English
Weather and meteorology English vocabulary. Английский словарь погоды и метеорологии . 2012