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Advanced Thermodynamic Modelling with CFD Solvers

Explore numerical solutions in flow geometries with Harris et al. (1996) and Kuipers and van Swaaij. Correct solver flaws for incompressible and compressible flows, studying thermodynamic relations and reformulation. Discover the integration of extensive and intensive variables in transport equations.

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Advanced Thermodynamic Modelling with CFD Solvers

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  1. Thermodynamics & CFD • Harris et al (1996): … numerical solution ... in a flow geometry of interest, together with subsidiary sets of equations … transport, diffusion and reaction of chemical species. • Kuipers and van Swaaij (199?): … The SIMPLE algorithm (Patankar, 1980) … forms the basis of … PHOENICS, FLUENT, FLOW3D … additional transport equations can be added with relative ease.

  2. SIMPLE • The solver controls V, p, E, m as functions of and t,x,u; • This gives four dependent variables, which is one too many compared to thermodynamic theory; • Thermodynamic relation p = p(V,E,m); • Is there a way to correct this flaw without rewriting the solver(?)

  3. Incompressible flow • The solver controls U,b (and V, p, Ek , Ep ) as functions of and t,x,u; • Two dependent variables in accordance with thermodynamic theory;

  4. Compressible flow • The solver controls V, U,b (and Ek , Ep ) as functions of and t,x,u (barycenter); • Three dependent variables in accordance with thermodynamic theory;

  5. Compressible flow (continued) • The solver controls extensive variables xi; • Thermodynamic EOS supplies intensive properties ci needed in transport equations and alike; • Bilinear coupling: • Reformulation into from “Lagrange” to “Euler” cordinates?

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