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フィックの法則×ブシネスク近似×シュテファン・マクスウェル拡散×
分野熱力学熱力学熱力学
系統Process / pipelineProcess / pipelineProcess / pipeline
提唱年185519031871
提唱者Adolf FickJoseph BoussinesqJosef Stefan and James Clerk Maxwell
種類Diffusion lawApproximation techniqueDiffusion equation
原典Fick, 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
別名diffusion equation, Fickian diffusionbuoyancy approximation, Boussinesq modelStefan-Maxwell equation, multicomponent diffusion
関連333
概要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.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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ScholarGate手法を比較: Fick's Laws · Boussinesq Approximation · Stefan-Maxwell Diffusion. 2026-06-19に以下より取得 https://scholargate.app/ja/compare