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قوانین فیک×تقریب بوزینسک×معادله انتشار اشتفان-ماکسول (Stefan-Maxwell Diffusion)×
حوزهترمودینامیکترمودینامیکترمودینامیک
خانوادهProcess / pipelineProcess / pipelineProcess / pipeline
سال پیدایش185519031871
پدیدآورAdolf FickJoseph BoussinesqJosef Stefan and James Clerk Maxwell
نوعDiffusion lawApproximation techniqueDiffusion equation
منبع بنیادینFick, A. (1855). On liquid diffusion. Philosophical Magazine, 10(63), 30-39. DOI ↗Boussinesq, J. (1903). Théorie Analytique de la Chaleur. Gauthier-Villars. link ↗Reid, R. C., Prausnitz, J. M., & Poling, B. E. (1987). The Properties of Gases and Liquids (4th ed.). McGraw-Hill. ISBN: 978-0071247009
نام‌های دیگرdiffusion equation, Fickian diffusionbuoyancy approximation, Boussinesq modelStefan-Maxwell equation, multicomponent diffusion
مرتبط333
خلاصهFick'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.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.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.
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ScholarGateمقایسهٔ روش‌ها: Fick's Laws · Boussinesq Approximation · Stefan-Maxwell Diffusion. بازیابی‌شده در 2026-06-19 از https://scholargate.app/fa/compare