2. (50 pts) One explanation for the reduced hematocrit in a tube postulates that, in small capillary tubes (20 ums RT =R1-8. (Hero is the core hematocrit.) (a) We notate the hematocrit and flow rate in the feed and dispose reservoir as Her and Her" QF and QD Plasma layer respectively. Given Q - Qo and Her-Her, derive a relationship between Hero and Her using the marginal zone theory. That is, express the ratio between Hero and Her with 8, R, Hp, He, where he is the plasma viscosity and he is the viscosity for the cell-rich zone. (b) Show that, for a tube with 100 um in diameter and 8 equal to 5 um, Her'=R1-8. (Hero is the core hematocrit.) (a) We notate the hematocrit and flow rate in the feed and dispose reservoir as Her and Her" QF and QD Plasma layer respectively. Given Q - Qo and Her-Her, derive a relationship between Hero and Her using the marginal zone theory. That is, express the ratio between Hero and Her with 8, R, Hp, He, where he is the plasma viscosity and he is the viscosity for the cell-rich zone. (b) Show that, for a tube with 100 um in diameter and 8 equal to 5 um, Her'