قارن الطرق

	معادلة بنغ-روبنسون للحالة	تحليل نقطة التقاطع (Pinch Analysis)
المجال	الفيزياء التطبيقية	الفيزياء التطبيقية
العائلة	Process / pipeline	Process / pipeline
سنة النشأة	1976	1978
صاحب الطريقة	Ding-Yu Peng and David Bernard Robinson	Bodo Linnhoff, John Flower
النوع	Equation of state; thermodynamic property correlation	Thermal design and optimization method
المصدر التأسيسي	Peng, D. Y., & Robinson, D. B. (1976). A new two-constant equation of state. Industrial & Engineering Chemistry Fundamentals, 15(1), 59-64.	Linnhoff, B., & Flower, J. R. (1978). Synthesis of heat exchanger networks: I. Systematic generation of energy optimal networks. AIChE Journal, 24(4), 633-642.
الأسماء البديلة	PR-EOS, Peng-Robinson model	heat integration, pinch point method, process integration
ذات صلة	4	4
الملخص	The Peng-Robinson equation of state is a cubic model that describes the thermodynamic properties of pure fluids and mixtures. Introduced by Ding-Yu Peng and David Bernard Robinson in 1976, it improves upon earlier models (van der Waals, Redlich-Kwong) by better predicting compressibility factors and phase equilibria, especially near the critical point. It is widely used in petroleum engineering, chemical process design, and natural gas calculations.	Pinch analysis is a systematic method for identifying the minimum energy requirements and optimal heat recovery opportunities in chemical processes. Developed by Bodo Linnhoff and John Flower in 1978, it graphically identifies the 'pinch point'—the most constrained part of the process where heating and cooling demands nearly balance. By targeting these bottlenecks, engineers can design energy-efficient heat exchanger networks and reduce operating costs dramatically.