قارن الطرق

	معادلة بنغ-روبنسون للحالة	نموذج مفاعل التدفق الأنبوبي	التقطير التفاعلي
المجال	الفيزياء التطبيقية	الفيزياء التطبيقية	الفيزياء التطبيقية
العائلة	Process / pipeline	Process / pipeline	Process / pipeline
سنة النشأة	1976	1962	1995
صاحب الطريقة	Ding-Yu Peng and David Bernard Robinson	Octave Levenspiel	Klaus Sundmacher
النوع	Equation of state; thermodynamic property correlation	Mathematical model for plug-flow reactor	Integrated reaction-separation process model
المصدر التأسيسي	Peng, D. Y., & Robinson, D. B. (1976). A new two-constant equation of state. Industrial & Engineering Chemistry Fundamentals, 15(1), 59-64.	Levenspiel, O. (1999). Chemical Reaction Engineering (3rd ed.). John Wiley & Sons. ISBN: 978-0-471-25424-9	Sundmacher, K., & Kienle, A. (2003). Reactive Distillation: Status and Future Directions. Wiley-VCH. ISBN: 978-3-527-30623-9
الأسماء البديلة	PR-EOS, Peng-Robinson model	ideal tubular reactor, plug-flow model, PFR	integrated distillation-reaction, reactive column, reaction with separation
ذات صلة	4	3	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.	The PFR (Plug Flow Reactor) model describes the behavior of a tubular reactor in which fluid elements move through as distinct plugs with no axial mixing. Fluid at the inlet is freshly unreacted; as it travels downstream, reactions progress. This idealized model, formalized by Octave Levenspiel alongside CSTR theory, is the opposite extreme: while CSTRs are fully mixed, PFRs have no axial mixing. In practice, PFRs achieve higher conversion than CSTRs for the same residence time and are widely used in the chemical and petroleum industries.	Reactive distillation couples reaction and separation in a single column, where reactants are separated from products continuously while simultaneously undergoing reaction on catalytic trays. Pioneered in the 1990s by Klaus Sundmacher and others, this process intensification technique dramatically reduces capital cost, energy consumption, and environmental impact for suitable reactions. It is now industrially proven for esterification, hydration, and transesterification processes.