Ohio Revised Code General Provisions § 5.012

(A) Display of the state flag at all state buildings and public institutions, such as public school buildings and state parks, is encouraged.  If the state flag is displayed, it may be flown every day when weather permits and shall be flown from sunrise until sunset on all national and state holidays and on any other days that the governor proclaims.  The state flag may be flown at night when properly lighted.  When the state flag is displayed outdoors, it shall be flown either from a flagpole or a staff.  Any staff from which the state flag is flown shall be at least two and one-half times as long as the state flag.

(B) When the state flag and the United States flag are displayed at the same time, the state flag shall not be larger than the United States flag.  When the state flag and the United States flag are displayed together against a wall from crossed staffs, the state flag shall be on the left of the United States flag, and the staff supporting the state flag shall be behind the staff supporting the United States flag.  When the state flag is flown from the same halyard as the United States flag, the state flag shall be displayed beneath the United States flag.  When the state flag is carried in a procession in which the United States flag is unfurled, the state flag shall be displayed on the marching left of the United States flag.

(C) The state flag shall be washed or dry cleaned when soiled and may be repaired.  When the state flag is damaged beyond repair, it shall be destroyed privately either by cutting it into small pieces and burning it until only ashes remain or by sealing it in a plastic bag or box before discarding it in a trash collection.