A combustor liner (30;130;430) for a gas turbine engine, the combustor liner (30;130;430) being arcuate in shape and defining an axis and a circumferential direction, the combustor liner (30;130;430) comprising: a first row of dilution openings in the liner, the first row of dilution openings running in the circumferential direction; a second row of dilution openings in the liner, the second row of dilution openings running parallel to the first row of dilution openings and axially spaced from the first row of dilution openings; each dilution opening of the second row of dilution openings at least partially overlapping in an axial direction a portion of each of two adjacent dilution openings of the first row of dilution openings; a heat shield (150;450) including: a shield hot side (174;474); and a shield cold side (172;472); a shell (142;442) attached to the heat shield, the shell including: a shell hot side (166;466) facing the shield cold side (172;472); a shell cold side (164;464) facing away from the shield cold side (172;472); the combustor liner being characterized in that: the dilution openings in both the first and second rows of dilution openings (60, 62) are rectangular; and in that the combustor liner further comprises: a row of cooling holes (168;468) in the shell (142;442); a series of trip strips (184;484) projecting from the shield cold side, the trip strips (184;484) running parallel to each other and all projecting from the shield cold side the same distance; and a series of projecting walls (186a,186b,186c,186d;486a,486b,486c,486d), each projecting wall running parallel to, and opposite of, a corresponding trip strip (184;484) and projecting from the shell hot side such that a distance to which each projecting wall projects from the shell hot side is greater for projecting walls farther from the row of cooling holes (176;476) to create successive gaps between projecting walls (186a,186b,186c,186d; 486a,486b,486c,486d) and corresponding trip strips (184;484) that decrease from the row of cooling holes (168;468) to create a convergent channel (182;482). a first row of dilution openings in the liner, the first row of dilution openings running in the circumferential direction; a second row of dilution openings in the liner, the second row of dilution openings running parallel to the first row of dilution openings and axially spaced from the first row of dilution openings; each dilution opening of the second row of dilution openings at least partially overlapping in an axial direction a portion of each of two adjacent dilution openings of the first row of dilution openings; a heat shield (150;450) including: a shield hot side (174;474); and a shield cold side (172;472); a shield hot side (174;474); and a shield cold side (172;472); a shell (142;442) attached to the heat shield, the shell including: a shell hot side (166;466) facing the shield cold side (172;472); a shell cold side (164;464) facing away from the shield cold side (172;472); the combustor liner being characterized in that: the dilution openings in both the first and second rows of dilution openings (60, 62) are rectangular; and in that the combustor liner further comprises: a shell hot side (166;466) facing the shield cold side (172;472); a shell cold side (164;464) facing away from the shield cold side (172;472); the combustor liner being characterized in that: the dilution openings in both the first and second rows of dilution openings (60, 62) are rectangular; and in that the combustor liner further comprises: the dilution openings in both the first and second rows of dilution openings (60, 62) are rectangular; and in that the combustor liner further comprises: a row of cooling holes (168;468) in the shell (142;442); a series of trip strips (184;484) projecting from the shield cold side, the trip strips (184;484) running parallel to each other and all projecting from the shield cold side the same distance; and a series of projecting walls (186a,186b,186c,186d;486a,486b,486c,486d), each projecting wall running parallel to, and opposite of, a corresponding trip strip (184;484) and projecting from the shell hot side such that a distance to which each projecting wall projects from the shell hot side is greater for projecting walls farther from the row of cooling holes (176;476) to create successive gaps between projecting walls (186a,186b,186c,186d; 486a,486b,486c,486d) and corresponding trip strips (184;484) that decrease from the row of cooling holes (168;468) to create a convergent channel (182;482).