قارن الطرق

	معادلة ستيفان-ماكسويل للانتشار	تقريب بوسينيسك	قوانين فيك
المجال	الديناميكا الحرارية	الديناميكا الحرارية	الديناميكا الحرارية
العائلة	Process / pipeline	Process / pipeline	Process / pipeline
سنة النشأة	1871	1903	1855
صاحب الطريقة	Josef Stefan and James Clerk Maxwell	Joseph Boussinesq	Adolf Fick
النوع	Diffusion equation	Approximation technique	Diffusion law
المصدر التأسيسي	Reid, R. C., Prausnitz, J. M., & Poling, B. E. (1987). The Properties of Gases and Liquids (4th ed.). McGraw-Hill. ISBN: 978-0071247009	Boussinesq, J. (1903). Théorie Analytique de la Chaleur. Gauthier-Villars.	Fick, A. (1855). On liquid diffusion. Philosophical Magazine, 10(63), 30-39.
الأسماء البديلة	Stefan-Maxwell equation, multicomponent diffusion	buoyancy approximation, Boussinesq model	diffusion equation, Fickian diffusion
ذات صلة	3	3	3
الملخص	The Stefan-Maxwell diffusion equation describes how multiple chemical species diffuse through each other in a mixture, accounting for interactions between all species pairs. Unlike Fick's law, which assumes species diffuse independently, Stefan-Maxwell theory captures the coupling that occurs when species with different diffusivities move at different rates. This is essential for analyzing gas separation, combustion, catalytic processes, and reactive distillation.	The Boussinesq Approximation simplifies the governing equations for natural convection by treating density as constant except in the buoyancy term. This approximation is valid when temperature variations produce small density changes and allows researchers to solve coupled heat-fluid flow problems without solving the full, nonlinear compressibility equations. The Boussinesq Approximation is fundamental to analyzing buoyancy-driven flows in buildings, enclosures, and geophysical applications.	Fick's Laws describe how species diffuse through media due to concentration gradients. The First Law (steady-state) relates diffusion flux to concentration gradient, while the Second Law (transient) describes how concentration changes over time. These laws are fundamental to mass transfer analysis, applying to gases, liquids, and solids. Fick's Laws are analogous to Fourier's Law of heat conduction, replacing temperature with concentration.