If established under the provisions of Chapter 302 of the Revised Code, the department of detention and correction shall assume all of the responsibility for the establishment, maintenance, and operation of an adult detention and correction administration for the county. Notwithstanding the provisions of Chapter 341 of the Revised Code, the department of detention and correction shall assume all responsibility for county jails assigned by that chapter to the county sheriff and shall make and promulgate rules and regulations for the care and custody of prisoners and the maintenance and operation of the county jail. Such rules and regulations shall be subject to approval of the joint session of the court of common pleas.