a deluge of; be ceaselessly inundated with; come as thick as hail; come hot on the heels of; come in a continuous stream; come in showers (/crowds/a throng); come thick and fast;keep pouring in ❍ 倪焕之是连日不得充分地睡一觉，安适地吃一顿了； 为的许多的事～，一一要解决，要应付，把新来的能力表现出来，…… (叶圣陶《倪焕之》389) For days on end Ni Huanzhi had been unable to get a good night’s rest or eat one meal at leisure; the reason was that he was ceaselessly inundated with matters that had to be solved and dealt with one by one if their newly-arrived power was to be used effectively.
纷至沓来
come in a continuous stream;come thick and fast;keep pouring in
纷至沓来fēn zhì tà lái
纷：众多，杂乱；沓：多而重复。比喻接连不断地到来。keep pouring in, throng in continually, come one after another, as thick as hail, come thick and fast, be deluged with