The present invention relates to cooling systems, and in particular to cooling systems providing forced convective gaseous flow for dissipating heat off of light-emitting diodes (LED). According to one aspect, a cooling system employs a heat sink in combination with an EHD pumping mechanism such as corona wind or micro-scale corona wind or by a temporally controlled ion-generation technique. For LEDs a channel-array structure can be employed to embody the heat sink. The EHD pumps are located at the inlet or outlet of the heat sink channels. Many advantages are achieved by the cooling system of the invention, including that the entire system can have similar or better performance than a conventional heat sink and fan system but with one-tenth the volume and weight and can operate silently. The present invention also relates to a method of fabricating a micro-channel heat sink employing EHD gas flow for use in LED cooling.