So sánh phương pháp

	Đường đẳng nhiệt hấp phụ (Langmuir-Freundlich)	Mô hình CSTR
Lĩnh vực	Vật lý ứng dụng	Vật lý ứng dụng
Họ	Process / pipeline	Process / pipeline
Năm ra đời	1918	1962
Người khởi xướng	Irving Langmuir	Octave Levenspiel
Loại	Empirical and theoretical adsorption equilibrium model	Mathematical model for continuous flow reactor
Công trình gốc	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.	Levenspiel, O. (1999). Chemical Reaction Engineering (3rd ed.). John Wiley & Sons. ISBN: 978-0-471-25424-9
Tên gọi khác	Langmuir isotherm, Freundlich isotherm, sorption equilibrium	ideal mixed reactor, back-mix reactor, CSTR
Liên quan	3	3
Tóm tắt	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.	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Reactor) model describes the behavior of an ideal mixed reactor where fresh feed is continuously added, products are withdrawn, and contents are kept uniform by vigorous stirring.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.