A method for manufacturing a porous membrane includes: mixing silicon carbide powders and a coagulant to form a first mixture; adding a sintering aid to the first mixture to form a second mixture; compressing the second mixture; and sintering the compressed second mixture. More particularly, the coagulant is in an amount of 1% to 3% by weight of the silicon carbide powders and the sintering aid is in an amount of 10% by weight of the first mixture.