Cooling system for an aircraft, comprising a heat exchanger for cooling a hot fluid with cooling air, comprising a cooling air inlet in fluid communication with a cooling air outlet and a hot fluid inlet in fluid communication with a hot fluid outlet by means of a plurality of hot fluid conduits, wherein the plurality of hot fluid conduits are configured to transfer heat between a flow of hot fluid flowing between the hot fluid inlet and the hot fluid outlet, and a flow of cooling air flowing between the cooling air inlet and the cooling air outlet; an air intake for the supply of cooling air from outside of the cooling system to the heat exchanger, wherein the air intake is in fluid communication with the cooling air inlet of the heat exchanger; and a Coand -effect air amplifier comprising an air amplifier inlet, an air amplifier outlet, a pressurized air inlet and a pressurized air outlet configured as a nozzle, the Coand -effect air amplifier being adapted to create a flow of cooling air between the air amplifier inlet and the air amplifier outlet induced by a stream of pressurized air injected through the nozzle, wherein the air amplifier inlet is in fluid communication with the cooling air outlet of the heat exchanger, wherein the plurality of hot fluid conduits are arranged in a tubular configuration defining a hollow interior volume, and wherein the cooling air flows between the hot fluid conduits and through the hollow interior volume of the tubular configuration of the hot fluid conduits. a heat exchanger for cooling a hot fluid with cooling air, comprising a cooling air inlet in fluid communication with a cooling air outlet and a hot fluid inlet in fluid communication with a hot fluid outlet by means of a plurality of hot fluid conduits, wherein the plurality of hot fluid conduits are configured to transfer heat between a flow of hot fluid flowing between the hot fluid inlet and the hot fluid outlet, and a flow of cooling air flowing between the cooling air inlet and the cooling air outlet; a cooling air inlet in fluid communication with a cooling air outlet and a hot fluid inlet in fluid communication with a hot fluid outlet by means of a plurality of hot fluid conduits, wherein the plurality of hot fluid conduits are configured to transfer heat between a flow of hot fluid flowing between the hot fluid inlet and the hot fluid outlet, and a flow of cooling air flowing between the cooling air inlet and the cooling air outlet; an air intake for the supply of cooling air from outside of the cooling system to the heat exchanger, wherein the air intake is in fluid communication with the cooling air inlet of the heat exchanger; and a Coand -effect air amplifier comprising an air amplifier inlet, an air amplifier outlet, a pressurized air inlet and a pressurized air outlet configured as a nozzle, the Coand -effect air amplifier being adapted to create a flow of cooling air between the air amplifier inlet and the air amplifier outlet induced by a stream of pressurized air injected through the nozzle, wherein the air amplifier inlet is in fluid communication with the cooling air outlet of the heat exchanger, wherein the plurality of hot fluid conduits are arranged in a tubular configuration defining a hollow interior volume, and wherein the cooling air flows between the hot fluid conduits and through the hollow interior volume of the tubular configuration of the hot fluid conduits.