Abstract

State-Flux network solutions are developed for modeling flow and pressure fields driven by the mechanical energy fraction for both incompressible and compressible, viscous fluids, an expansion to Bernoulli’s equation. The partial differential equation form of the Computational Energy Dynamics (CED) model is also formulated as an alternative governing principle to the Navier–Stokes equation for viscous fluid flow. The primary variables of the CED model are scalar energy components assigned to the network geometry. The SF network formulations give vector-matrix equations for steady-state and time-dependent flow and pressure field calculations.

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