Abstract: The invention is a class of medical bandages that are effective for use in the treatment of various types of tissue burns, such as burns due to heat, chemicals, or sun exposure. The inventive bandages are comprised of a thin metal substrate in combination with a heat-sink. The inventive bandages incorporate a metal substrate (such as aluminum) having a burn-facing side for direct contact with the burn to draw heat away from the burn by conduction, and a heat-sink facing side opposite the burn-facing side for contact with a hydrogel to draw heat away from the metal layer by conduction. The thin aluminum layer and associated hydrogel heat-sink ensures flexibility and effective heat-transfer characteristics to rapidly cool a burn wound.