Pump assembly for a dishwasher appliance

A dishwasher appliance defining a vertical, a lateral, and a transverse direction, the dishwasher appliance comprising:

• a wash tub that defines a wash chamber;
• a wash rack mounted within the wash chamber, the wash rack being configured for receiving articles for washing;
• and
• a fluid circulation assembly for providing a flow of wash fluid for cleaning articles placed within the wash chamber, the fluid circulation assembly comprising:
• a drive shaft defining an axial direction, a radial direction, and a circumferential direction;
• a motor operable to rotate the drive shaft in a first direction and in a second direction opposite the first direction;
• a pump impeller positioned on the drive shaft;
• and
• a clutch assembly mechanically coupling the pump impeller to the drive shaft, the clutch assembly comprising:
• a clutch housing defining a central cavity and a plurality of protrusions extending inward along the radial direction into the central cavity;
• and a clutch rotatably mounted within the central cavity of the clutch housing, the clutch comprising a plurality of resilient arms that engage the plurality of protrusions and rotate the clutch housing when the drive shaft rotates in the first direction.