The present invention relates to a material. In particular, it relates to a membrane for filtering water. More particularly, it relates to a membrane comprising carbon nanotubes and mixed cellulose ester porous membranes for water desalination and purification. Still more particular, the membrane comprising a fibrous substrate and carbon nanotubes formed on a fibrous substrate, wherein the surface of the carbon nanotubes is functionally modified. A microfluidic device comprising such a membrane and a method for filtering water are also disclosed.