Mathematical Foundation of Pinch Analysis

Mathematical Foundation of Pinch Analysis

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Techniques of Process Integration can be applied to conserve resources such as energy, freshwater, Transfer Equipment - Benches cooling water, hydrogen, solvent, etc.Process Integration methodologies are broadly classified into two categories: methodologies based on the numerical optimization techniques and methodologies based on the conceptual approaches of Pinch Analysis.In this paper, a generalized problem definition for Pinch Analysis problems is mathematically analyzed and a rigorous methodology to solve this problem is discussed.There are three important graphical methodologies also proposed in the literature: Limiting Composite Curve, Material Recovery Pinch Diagram, and Source Composite Curve.

In this paper, fundamental derivation of Height Chart these graphical representations and interrelation between them are established mathematically.