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फ़िक के नियम×बुसिनेस्क सन्निकटन (Boussinesq Approximation)×स्टीफन-मैक्सवेल विसरण×
क्षेत्रऊष्मागतिकीऊष्मागतिकीऊष्मागतिकी
परिवारProcess / pipelineProcess / pipelineProcess / pipeline
उद्भव वर्ष185519031871
प्रवर्तकAdolf FickJoseph BoussinesqJosef Stefan and James Clerk Maxwell
प्रकारDiffusion lawApproximation techniqueDiffusion equation
मौलिक स्रोतFick, 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
उपनामdiffusion equation, Fickian diffusionbuoyancy approximation, Boussinesq modelStefan-Maxwell equation, multicomponent diffusion
संबंधित333
सारांशFick'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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