A tangential flow separator element for separating a fluid medium for treatment into a filtrate and a retentate, said separator element comprising:
- a monolithic rigid porous support of rectilinear structure extending from a first end to a second end along a longitudinal central axis, said monolithic rigid porous support of rectilinear structure having a plurality of channels with walls that are continuously covered by at least one filter separator layer that serves to filter the fluid medium for treatment, each of said plurality of channels presenting an inlet for the fluid medium for treatment located at one of the said first and second ends of the monolithic rigid porous support of rectilinear structure, and an outlet for the retentate positioned at the other of said first and second ends in order to recover a filtrate from the outside surface of the monolithic rigid porous support,
- wherein the monolithic rigid porous support defines obstacles to the flow of the fluid for treatment which extend from inside walls of each of said plurality of channels,
- wherein the obstacles have surfaces that are configured to come into contact with the fluid for filtering, and that face towards the inlet sloping in the flow direction of the fluid for treatment,
- wherein the obstacles are identical in material and porous texture to the monolithic rigid porous support, and are formed integrally with the monolithic rigid porous support,
- wherein the obstacles present continuity of material and of porous texture with the monolithic rigid porous support,
- wherein a cross-section of each of the plurality of channels varies, in function of at least one of the following three criteria:
- an area of the cross-section, a shape of the cross section and a dimension of the cross section, when a position of said cross section changes along said longitudinal central axis, wherein each-cross-section follows a plane that is perpendicular to said longitudinal central axis,
- wherein the obstacles are configured to promote turbulence in the fluid when the fluid flows inside said plurality of channels, and to cause shear and recirculation to reduce pore clogging of the filter separator layer on the inside walls of said plurality of channels.