قارن الطرق

	نموذج المفاعل الخزان المستمر التحريك (CSTR)	معادلة بنغ-روبنسون للحالة	نموذج مفاعل التدفق الأنبوبي
المجال	الفيزياء التطبيقية	الفيزياء التطبيقية	الفيزياء التطبيقية
العائلة	Process / pipeline	Process / pipeline	Process / pipeline
سنة النشأة	1962	1976	1962
صاحب الطريقة	Octave Levenspiel	Ding-Yu Peng and David Bernard Robinson	Octave Levenspiel
النوع	Mathematical model for continuous flow reactor	Equation of state; thermodynamic property correlation	Mathematical model for plug-flow reactor
المصدر التأسيسي	Levenspiel, O. (1999). Chemical Reaction Engineering (3rd ed.). John Wiley & Sons. ISBN: 978-0-471-25424-9	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
الأسماء البديلة	ideal mixed reactor, back-mix reactor, CSTR	PR-EOS, Peng-Robinson model	ideal tubular reactor, plug-flow model, PFR
ذات صلة	3	4	3
الملخص	The CSTR (Continuous Stirred-Tank Reactor) model describes the behavior of an ideal mixed reactor where fresh feed is continuously added, products are withdrawn, and contents are kept uniform by vigorous stirring. This fundamental model, formalized by Octave Levenspiel in the 1960s, is widely used to design and scale batch and continuous processes. Despite its simplicity, it captures essential dynamics of industrial reactors and is the baseline for process control and optimization.	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.