l2 - ME 608 Lecture 2 Conservation Equations Conservation...

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ME 608 Lecture 2: Conservation Equations Conservation Form Mathematical Classification of PDEs 1
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Last time… Wrote conservation statement for a control volume Derived a general scalar transport equation Discovered that all transport processes have commonalities » Storage » Diffusion » Convection » Generation 2
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This time… Understand how general scalar transport equation related to the governing equations we encounter in CFD Examine important classes of partial differential equations and understand their behavior See how this knowledge applies to the general scalar transport equation 3
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General Scalar Transport Equation Storage Convection Diffusion Generation Recall: is a specific quantity (energy per unit mass say) V : velocity vector : Diffusion coefficient : density S: Source term (Generation per unit volume W/m 3 ) 4
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Continuity Equation 0 ) ( V t Here, = 1 = 0 S = 0 5
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Energy Equation h = sensible enthalpy per unit mass, J/kg
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  • Fall '10
  • NA
  • Partial differential equation, Hyperbolic partial differential equation, Parabolic partial differential equation, scalar transport equation, general scalar transport

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l2 - ME 608 Lecture 2 Conservation Equations Conservation...

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