连日的英文：
day after day

参考例句：

This week has seen the stock index inching up day after day.
本周股市指数连日爬升

consecutive days
连日

These cloudy days depress us all.
连日阴霾使我们心情沮丧。

day是什么意思：
n. 一天；白昼，白天；工作日；时代，时期

Things go on day by day.
事情逐日进行着。

Day by day the situation is improving.
情况在一天天地好转。

Like this, day after day.
就这样，日复一日。

It was a fateful day.
那是个不祥的日子。

Meantime, from day to day they endure.
同时，一天天他们捱了下去。

after是什么意思：
prep. 在…以后；在…后面；低于；模仿；尽管
conj. 在…之后
adv. 以后，之后；在后面，随后
adj. 以后的，后部的

After you, sir.
先生，您先。

Counsel after action is like rain after harvest
放马后炮

pattern oneself after
模仿样子

Look after yourself, bye!
自己当心点。 再见！

After the storm the sky cleared.
暴风雨过后，天空明朗了。