Bangladesh's protest leaders said they expect members of an interim government, led by Nobel laureate Muhammad Yunus, to be finalised on Wednesday after Prime Minister Sheikh Hasina quit and fled to India following a violent crackdown on a student-led uprising.

Bangladesh's president appointed Yunus as the head of the interim government late on Tuesday, meeting a key demand of students, and said the remaining members need to be finalised soon to overcome the current crisis, according to a statement from his office.

The interim government will fill a power vacuum left after Bangladesh's army chief announced Hasina's resignation in a televised address on Monday that followed weeks of deadly violence that ripped through the country, killing about 300 people and injuring thousands.

Her resignation triggered jubilation across the country and crowds stormed into her official residence unopposed after she fled, ending a 15-year second stint in power in the country of 170 million that has suffered economic distress in recent years.

Normalcy slowly began returning to the country after Monday's chaos but fresh protests broke out in a Dhaka neighbourhood on Wednesday when hundreds of officials from the central bank forced four of its deputy governors to resign over alleged corruption, Bangladesh Bank sources said.

The bank did not immediately comment.

Giant neighbour India, which has strong cultural and business ties with Bangladesh, evacuated all non-essential staff and their families from its embassy and four consulates in the country, two Indian government sources said.