قارن الطرق

	نموذج مفاعل التدفق الأنبوبي	متساويات الامتزاز (لانغموير-فروندليتش)
المجال	الفيزياء التطبيقية	الفيزياء التطبيقية
العائلة	Process / pipeline	Process / pipeline
سنة النشأة	1962	1918
صاحب الطريقة	Octave Levenspiel	Irving Langmuir
النوع	Mathematical model for plug-flow reactor	Empirical and theoretical adsorption equilibrium model
المصدر التأسيسي	Levenspiel, O. (1999). Chemical Reaction Engineering (3rd ed.). John Wiley & Sons. ISBN: 978-0-471-25424-9	Langmuir, I. (1918). The adsorption of gases on plane surfaces of glass, mica, and platinum. Journal of the American Chemical Society, 40(9), 1361-1403.
الأسماء البديلة	ideal tubular reactor, plug-flow model, PFR	Langmuir isotherm, Freundlich isotherm, sorption equilibrium
ذات صلة	3	3
الملخص	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.	Adsorption isotherms describe the equilibrium uptake of a substance on a solid surface as a function of gas or solution phase concentration at constant temperature. The Langmuir isotherm (1918) and Freundlich isotherm (1906) are classical empirical models. The Langmuir model assumes monolayer coverage and is mechanistic; the Freundlich model is empirical and describes multilayer or heterogeneous adsorption. These isotherms are essential for designing separation processes (activated carbon filters, molecular sieves) and understanding pollutant sorption.