Chellur will be only second woman Chief Justice of the Bombay HC, after Sujata Manohar in 1994.
Her appointment follows retirement of D H Waghela as Chief Justice of the Bombay HC on August 10. Waghela held the post for a brief six months.
Chellur, born in 1955 in Karnataka, got her law degree and started practising as a lawyer in Karnataka after which she became a district judge in 1988.
In 2000, she became a permanent judge of the Karnataka High Court. In 2012, she was appointed Chief Justice of Kerala High Court and in 2014 she was transferred to Calcutta.