Process for dyeing a textile web

A process for dyeing a textile web, said textile web having a first face and a second face opposite the first face, said method comprising:

• applying a dye comprising a solvent and at least one component having a thermal conductivity substantially greater than a thermal conductivity of said solvent directly to the first face of the textile web and not directly to the second face thereof other than by saturating the web;
• moving the second face of the web in an open configuration thereof over a contact surface of an ultrasonic vibration system with the second face of the textile web in direct contact with the contact surface of the ultrasonic vibration system and the first face free from contact with said contact surface;
• and
• operating the ultrasonic vibration system to impart ultrasonic energy to the second face of the textile web at the contact surface of the ultrasonic vibration system and to facilitate movement of the dye from the first face of the web into and through the web into the second face thereof.