For this analysis, the AS of Zuritz (Eq. ( ) from ) is transcribed below, modified by adapting the numbering of the streams to that of the present work, and by using the symbols 𝜃 ̃ for the dimensionless temperature -maintaining Zuritz's definition . The Zuritz solution for TTHE-HL was simplified to the case of 𝜃 ̃2(0) = 𝜃 ̃0(0) . The solution is given by (see Eq. ( ) of ):