Table 3 Equations for the conservation of mass and energy of the components of the system, and the formula for the destruction of exergy⁴⁴

Compressor

\({m}_{1}+{m}_{5g}={m}_{2}\)

(50)

\({W}_{{com}}={m}_{1}\left({h}_{15}-{h}_{1}\right)+({m}_{1}+{m}_{5g})({h}_{2}-{h}_{16})\)

(51)

Separator 1

\({m}_{4}+{m}_{\mathrm{3,6}}={m}_{5g}+{m}_{5l}+{m}_{6}\)

(52)

\({m}_{4}{h}_{4}+{m}_{\mathrm{3,6}}{h}_{3}={m}_{5g}{h}_{5g}+{m}_{5l}{h}_{5l}+{m}_{6}{h}_{6}\)

(53)

Separator 2

\({m}_{12}+{m}_{9}={m}_{10g}+{m}_{10l}\)

(54)

\({m}_{9}{h}_{9}+{m}_{12}{h}_{12}={m}_{10g}{h}_{10g}\)

(55)

Expansion valve 1

\({m}_{10l}={m}_{13}\)

(56)

\({m}_{10l}{h}_{10l}={m}_{13}{h}_{13}\)

(57)

Expansion valve 2

\({m}_{11}={m}_{12}\)

(58)

\({m}_{11}{h}_{11}={m}_{12}{h}_{12}\)

(59)

Expansion valve 3

\({m}_{\mathrm{3,4}}={m}_{4}\)

(60)

\({m}_{\mathrm{3,4}}{h}_{3}={m}_{4}{h}_{4}\)

(61)

Condenser

\({m}_{2}={m}_{3}\)

(62)

\({Q}_{{con}}={m}_{2}({h}_{2}-{h}_{3})\)

(63)

Evaporator

\({m}_{13}={m}_{14}\)

(64)

\({Q}_{{eva}}={m}_{13}({h}_{14}-{h}_{13})\)

(65)

Ejector

\({m}_{6}+{m}_{14}={m}_{9}\)

(66)

See Table 1

IHX

\({m}_{10g}+{m}_{5l}={m}_{1}+{m}_{11}\)

(67)

\({m}_{10g}{h}_{10g}+{m}_{5l}{h}_{5l}={m}_{1}{h}_{1}+{m}_{11}{h}_{11}\)

(68)