A solid oxide fuel cell includes an anode layer, an electrolyte layer over the anode layer, and a cathode layer over the electrolyte layer. At least one of the anode layer and the cathode layer defines a gas manifold. The gas manifold includes a gas inlet, defined by an edge of the anode layer or cathode layer, a gas outlet, defined by the same or a different edge of the anode layer or cathode layer, and a plurality of gas flow channels in fluid communication with the gas inlet and gas outlet. The gas flow channels can have diameters that conduct flow of gas from the gas inlet at substantially equal flow rates among the gas flow channels.