one after another意为“一个接一个地”“相继地”“依次地”，在句中主要用作状语。如：

Planes took off one after another. 飞机陆续起飞。

One after another we fell asleep.  我们一个个睡着了。

One after another all his plans have failed. 他的计划都一一失败了。

one after another the buses drew up. 公共汽车一辆接一辆地停下来。

A whole series of problems have arisen one after another. 一系列的问题接连出现了。

One after another, people described how hard it is for them to get medical care.  人们一个接一个地讲述获得医疗保健服务对于他们是何其困难。

有时也可用作主语。如：

One after another of her friends got married and moved away. 她的朋友一个一个地结婚搬走了。（摘自《韦氏高阶英语词典》）

One after another began to choke, and at the end all the women were weeping. 人们一个接一个哽咽起来，到结束的时候妇女们全都哭了。（摘自《薄冰高级英语语法》）