- 155 - injected with the hydrogen coolant, a spatially independent seed ratio, s, is defined as the ratio of seed density to coolant density: NS SNH Using (8.57) and (8.58) in (8151), the second derivative of the temperature distribution becomes (8.58) d 2T dT 2 F(r,s) = - D+ d (D22 dr2 2 r+(2 - D23) )( - D24 1a - T 3 (8.59) where 1 D21 = r + c rE [O,F] , r > r dKU dK H dK' N~ U -+ N H(T + s -) J2 2 = KU + H + K S NH R NU (R + 1- 2 3 D23 - D 3S(r) KR U H NH 24 - 6-a N + (1 + s) NH (8.60) with S(r) given by (8.24). The temperature gradient is evaluated using (8.52) with F(r') replaced by F(r',s) U22