“…The primary modeling approach involves mechanistic modeling based on MESH equations (mass balance equation, phase-equilibrium equation, molar fraction summation equation, and heat-balance equation). The mechanistic modeling research encompasses various scenarios, including standard HIDiCs [6,29], heat-integrated reactive columns [23,30,31], heatintegrated pressure-swing columns [32][33][34], heat-integrated air-separation columns [19,[35][36][37], and more. The core of mechanistic modeling lies in describing the conditions for each tray, involving many differential and algebraic equations.…”