are not known a priori, and we seek solutions subject to a specified efficiency, and a specified fluid temperature ratio, rf = (Tfo a - Tfi)/Tfl. Thus, from definitions and with T| specified, rs = ry(pN); furthermore, from equations (8) and (10), modified steady state boundary conditions are obtained as Now it is seen that, for some selected N, equation (9) can be integrated from x = 1 to x = 0, using equations (11, 12) as initial values. The parameter 8 is the only unknown, which is determined iteratively to satisfy equation (7) at x = 0. This process was accomplished using fourth-order Runge-Kutta integration of equation (9) with 50 intervals over 0 < x < 1, and Newton-Raphson iteration to satisfy equation (7) to within 10’5, as implemented in the TK-Solver software (1992); the integral in equation (10) was also evaluated as a check on numerical accuracy. For direct comparison with benchmark conditions, we take
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