Final answer:
A 3-way Foley catheter is used for continuous irrigation and hemostasis of the bladder following a TURP to drain urine, inflate the balloon, and irrigate the bladder to prevent blood clots.
Step-by-step explanation:
The type of catheter used for continuous irrigation and hemostasis of the bladder following a Transurethral Resection of the Prostate (TURP) is a 3-way Foley catheter. This specialized catheter has three lumens that serve distinct functions: one for drainage of urine, one for inflation of the catheter's balloon, and the third for continuous irrigation to ensure the bladder remains clear of blood clots and debris. The continuous irrigation helps maintain bladder hemostasis by flushing out blood and preventing clot retention, which is a crucial postoperative management aspect after TURP.