Channeling furrow upstream of a blade

An assembly for a turbomachine,

• the assembly extending around an axis,
• the assembly including:
• an inner annular platform and an outer annular platform, the inner annular platform and the outer annular platform delimiting a flow channel for a fluid circulating from upstream to downstream;
• and
• at least one fixed blade extending radially between the inner annular platform and the outer annular platform, the fixed blade being profiled with a leading edge,
• wherein the inner annular platform and/or the outer annular platform includes, upstream of the leading edge of the fixed blade, a furrow for channeling fluid circulating in the flow channel,
• the furrow having a segment forming an upstream limit and a segment forming a downstream limit,
• a length of the upstream limit being greater than a length of the downstream limit, and
• wherein the furrow has a profile including a first cross section of parabolic shape and a second cross section of sinusoidal shape.