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from (8.59). The temperature distribution as determined by (8.53) becomes



          T(r,s) = {   L-24(r',s) dr' + T(O)        (8.61)
                    0

        The temperature distribution calculated by (8.61) represents a trajectory in the r-T plane between r = 0 and dTO
r = R. The initial values T(O) and -T (0) are specified by application of the first and second boundary conditions of (8.50) to the integrations (8.52) and (8.61). Both of the end point values T(R) and !L(R) are parametrically dependent on the seed ratio, s, through the coefficients D22 and D24 given by (8.60). Either the end point temperature or temperature gradient may be independently specified by proper choice of the seed ratio. Since the third boundary condition of (8.50) requires that only the end point temperature be specified, temperature trajectories are calculated from (8.61) for various seed ratios until this boundary condition is satisfied for some s = s   Then a consistent value of the end point gradient will be determined using s = so in the expression (8.52). To summarize the numerical calculation of the temperature distribution, (8.52) and (8.61) are used with the first two boundary dT
conditions of (8.50) to compute a-(r,s) and T(r,s) over the interval [0,R] for s = 0. If the uranium and hydrogen