Is wife has right to file maintaince case after divorce

No, if no application is made for maintenance, than there should be no order for maintenance during and after divorce.

https://timesofindia.indiatimes.com/city/mumbai/No-alimony-if-wife-hasnt-sought-it/articleshow/31755288.cms

While happy that he got a divorce, the husband complained that the family court had ordered him to pay a monthly maintenance of Rs 8,000 to his wife and Rs 4,000 to their son under section 25 of the Hindu Marriage Act. He said the section provides that "only on an application being made for maintenance, the court may order payment of any amount as maintenance". Not otherwise, he argued. 

The HC observed, "The crucial words are "on an application being made to the court", and said, "In the present case, it is clear that no application had been made by the wife for maintenance for herself and for the son. There are no prayers made on behalf of the wife for maintenance. In such case, the family court ought not to have granted maintenance to the wife or the son."