Embodiments of the invention relate to a combustor flow sleeve for a turbine engine. The flow sleeve can be configured to optimize cooling and airflow distribution. The flow sleeve can include first and second sets of openings. A first set of openings can be provided for impingement cooling the areas of the liner that are subjected to high thermal loads. The second set of openings can be provided to more evenly distribute the airflow into the combustor head-end. By focusing the cooling on the areas of need and by making the airflow more uniform, embodiments of the invention can reduce the system pressure drop and enhance the performance and power of the engine.