A combustor for a turbine engine, comprising: an outer liner having a first row and a second row of circumferentially distributed air admission holes penetrating therethrough, the second row of the outer liner being downstream of the first row of the outer liner, and the air admission holes of the first row of the outer liner being larger than the air admission holes of the second row of the outer liner; an inner liner circumscribed by the outer liner and having a third row and a fourth row of circumferentially distributed air admission holes penetrating therethrough, the fourth row of the inner liner being downstream of the third row of the inner liner, the air admission holes of the third row of the inner liner being larger than the air admission holes of the fourth row of the inner liner, and the inner and outer liners (212, 210) forming a combustion chamber, wherein at least a portion of the air admission holes of the first, second, third, or fourth rows (410, 420, 430, 440) are plunged, a plurality of fuel injectors extending into the combustion chamber and configured to deliver an air-fuel mixture to the combustion chamber, characterized in that each of the plurality of fuel injectors is associated with two air admission holes in the first row, two air admission holes in the third row, four air admission holes in the second row, and two air admission holes of the fourth row, wherein the third row of air admission holes is generally aligned with the first row of air admission holes in a longitudinal direction, the fourth row of air admission holes is generally aligned with the second row of air admission holes in the longitudinal direction, and the fourth row of air admission holes is circumferentially offset with respect to the first row of air admission holes, wherein the combustion chamber defines a rich burn zone, a quench zone, and a lean burn zone, the first and second rows of air holes in the inner and outer liners introducing air jets into quench zone, and wherein the inner liner and outer liner each further defines effusion cooling holes that respectively provide a cooling layer of air around the plunged air admission holes of the first, second, third and fourth rows. an outer liner having a first row and a second row of circumferentially distributed air admission holes penetrating therethrough, the second row of the outer liner being downstream of the first row of the outer liner, and the air admission holes of the first row of the outer liner being larger than the air admission holes of the second row of the outer liner; an inner liner circumscribed by the outer liner and having a third row and a fourth row of circumferentially distributed air admission holes penetrating therethrough, the fourth row of the inner liner being downstream of the third row of the inner liner, the air admission holes of the third row of the inner liner being larger than the air admission holes of the fourth row of the inner liner, and the inner and outer liners (212, 210) forming a combustion chamber, wherein at least a portion of the air admission holes of the first, second, third, or fourth rows (410, 420, 430, 440) are plunged, a plurality of fuel injectors extending into the combustion chamber and configured to deliver an air-fuel mixture to the combustion chamber, characterized in that each of the plurality of fuel injectors is associated with two air admission holes in the first row, two air admission holes in the third row, four air admission holes in the second row, and two air admission holes of the fourth row, wherein the third row of air admission holes is generally aligned with the first row of air admission holes in a longitudinal direction, the fourth row of air admission holes is generally aligned with the second row of air admission holes in the longitudinal direction, and the fourth row of air admission holes is circumferentially offset with respect to the first row of air admission holes, wherein the combustion chamber defines a rich burn zone, a quench zone, and a lean burn zone, the first and second rows of air holes in the inner and outer liners introducing air jets into quench zone, and wherein the inner liner and outer liner each further defines effusion cooling holes that respectively provide a cooling layer of air around the plunged air admission holes of the first, second, third and fourth rows.