A rotor blade, comprising: an airfoil having a leading edge and a trailing edge, a pressure side wall and a suction side wall connected at the leading and trailing edges (124, 126), a blade tip having a radially outer surface that extends along the pressure and suction side walls (138, 140) between the leading and trailing edges (124, 126), and an internal cavity for receiving a cooling medium, the airfoil further comprising: a tip cavity formed at the blade tip, the tip cavity including a tip cap recessed radially inwardly from the radially outer surface and surrounded continuously by the pressure and suction side walls (138, 140), wherein the tip cap further includes an aperture that extends through an inner surface and a radially opposed top surface of the tip cap and provides for fluid communication between the internal cavity and the tip cavity, and an exhaust port that provides for fluid communication from the tip cavity through the trailing edge, the pressure side wall, the suction side wall, or the radially outer surface; wherein a portion of at least one of the suction side wall or the pressure side wall that defines the tip cavity extends obliquely outwardly from the tip cavity with respect to a radial direction; and characterized in that either: the exhaust port extends through the trailing edge between the top surface of the tip cap and the radially outer surface of the blade tip; or the exhaust port extends through the suction side wall between the top surface of the tip cap and the radially outer surface of the blade tip proximate to the trailing edge; or the exhaust port extends through the pressure side wall between the top surface of the tip cap and the radially outer surface of the blade tip proximate to the trailing edge; or the exhaust port extends through the radially outer surface of the blade tip at or proximate to the trailing edge. a tip cavity formed at the blade tip, the tip cavity including a tip cap recessed radially inwardly from the radially outer surface and surrounded continuously by the pressure and suction side walls (138, 140), wherein the tip cap further includes an aperture that extends through an inner surface and a radially opposed top surface of the tip cap and provides for fluid communication between the internal cavity and the tip cavity, and an exhaust port that provides for fluid communication from the tip cavity through the trailing edge, the pressure side wall, the suction side wall, or the radially outer surface; wherein a portion of at least one of the suction side wall or the pressure side wall that defines the tip cavity extends obliquely outwardly from the tip cavity with respect to a radial direction; and characterized in that either: the exhaust port extends through the trailing edge between the top surface of the tip cap and the radially outer surface of the blade tip; or the exhaust port extends through the suction side wall between the top surface of the tip cap and the radially outer surface of the blade tip proximate to the trailing edge; or the exhaust port extends through the pressure side wall between the top surface of the tip cap and the radially outer surface of the blade tip proximate to the trailing edge; or the exhaust port extends through the radially outer surface of the blade tip at or proximate to the trailing edge. the exhaust port extends through the trailing edge between the top surface of the tip cap and the radially outer surface of the blade tip; or the exhaust port extends through the suction side wall between the top surface of the tip cap and the radially outer surface of the blade tip proximate to the trailing edge; or the exhaust port extends through the pressure side wall between the top surface of the tip cap and the radially outer surface of the blade tip proximate to the trailing edge; or the exhaust port extends through the radially outer surface of the blade tip at or proximate to the trailing edge.