Turbine component with dust tolerant cooling system

A turbine component, comprising:

• an airfoil having a pressure side opposite a suction side and a rib that extends between the pressure side and the suction side;
• a hot wall;
• a cold wall spaced apart from the hot wall defined by the rib;
• a conduit defined in the airfoil between the hot wall and the cold wall;
• and
• a cooling system defined in the conduit between the hot wall and the cold wall, the cooling system including a plurality of cooling pins, each cooling pin of the plurality of cooling pins comprising a first end having a first cross-sectional area, a second end having a second cross-sectional area, the first cross-sectional area less than the second cross-sectional area, and a body extending between the first end and the second end, with a pin leading edge defined along the body from the first end to the second end, the pin leading edge opposite a pin trailing edge, the pin leading edge defined by a first diameter and the pin trailing edge defined by a second diameter, the second diameter greater than the first diameter, with at least one first cooling pin of the plurality of cooling pins having the first end coupled to the hot wall and the second end coupled to the cold wall with a fillet.