Air direction arrangement for an aircraft having: an inlet opening and an inlet channel which is connected thereto and which is at least partially surrounded by an outer wall; wherein the inlet channel is configured to guide air to an engine of the aircraft; wherein the outer wall has at least one outlet channel and at least one outlet element; wherein the outlet element is configured to selectively release or close the outlet channel for an air flow from the inlet channel into the environment of the aircraft; wherein the air direction arrangement has a heat exchanger which is arranged in the outlet channel in order to discharge thermal energy to the air flow which is flowing from the inlet channel into the environment of the aircraft; wherein the heat exchanger is arranged between an inner side and an outer skin of the outer wall in a direction which extends perpendicularly to a flow direction of the air flow in the inlet channel; the heat exchanger is configured to discharge thermal energy to the air which is discharged through the outlet channel into the environment of the aircraft; the heat exchanger is arranged in the outlet channel such that the air flow in the inlet channel flows to the engine past the heat exchanger and along the heat exchanger and does not discharge any thermal energy from the heat exchanger when the outlet channel is closed, and that only the air which flows transversely relative to the inlet channel through the outlet channel flows through the heat exchanger when the outlet channel is released; the heat exchanger is located in the outlet channel and is sized such that the heat exchanger does not protrude over the inner side of the outer wall into the inlet channel and also does not protrude beyond the outer skin of the outer wall into the environment of the aircraft. an inlet opening and an inlet channel which is connected thereto and which is at least partially surrounded by an outer wall; wherein the inlet channel is configured to guide air to an engine of the aircraft; wherein the outer wall has at least one outlet channel and at least one outlet element; wherein the outlet element is configured to selectively release or close the outlet channel for an air flow from the inlet channel into the environment of the aircraft; wherein the air direction arrangement has a heat exchanger which is arranged in the outlet channel in order to discharge thermal energy to the air flow which is flowing from the inlet channel into the environment of the aircraft; wherein the heat exchanger is arranged between an inner side and an outer skin of the outer wall in a direction which extends perpendicularly to a flow direction of the air flow in the inlet channel; the heat exchanger is configured to discharge thermal energy to the air which is discharged through the outlet channel into the environment of the aircraft; the heat exchanger is arranged in the outlet channel such that the air flow in the inlet channel flows to the engine past the heat exchanger and along the heat exchanger and does not discharge any thermal energy from the heat exchanger when the outlet channel is closed, and that only the air which flows transversely relative to the inlet channel through the outlet channel flows through the heat exchanger when the outlet channel is released; the heat exchanger is located in the outlet channel and is sized such that the heat exchanger does not protrude over the inner side of the outer wall into the inlet channel and also does not protrude beyond the outer skin of the outer wall into the environment of the aircraft.