Countercurrent heat exchange
Source:
April 27, 2022
Problem Statement
A bird starts with 300 ml of blood at 100 degrees in its body, 50 ml of blood at 0 degrees in its feet. Every minute, 50 ml of blood flows from the body to the feet, and 50 ml of blood at 40% of the body temperature flows from the feet to the body. The bird feels cold once its internal body temperature (not including the feet) falls below 60 degrees. Compute how many minutes it takes for the bird to feel cold.2022 CCA Math Bonanza Team Round #6