You use obviously when you are stating something that you expect the person who is listening to know already.
Obviously, they've had sponsorship from some big companies.
显然,他们得到了一些大公司的赞助。
As a private hospital it obviously needs to balance its budget each year.
作为一家私立医院,显然每年都需要平衡预算。
You use obviously to indicate that something is easily noticed, seen, or recognized.
They obviously appreciate you very much.
他们明显很欣赏你。