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Dynamic modeling of the reservoir fluids, based on energy and mass conservation laws, Darcy law, dynamic models equation (state equation), and relationship between relative permeability and capillary pressure.
This article aims to establish a coupled thermo-hydraulic mathematical model for steam network by adopting a set of equations, i.e., the continuity equation, motion equation, energy equation, state equation and enthalpy equation and considering the interaction of hydraulic and thermal working conditions.
The gas equation state is: frac{{rho_{0} }}{{psi_{0} varGamma_{0} }} = frac{rho }{psi varGamma } = ZR_{gas} = {text{Constant}} (1 where ρ is gas pressure (kPa); ψ is gas density (kg/m3); Γ is temperature (K); ρ 0, ψ 0, Γ0 are gas pressure, gas density, and temperature under normal conditions, respectively; Z is gas constant compressibility factor; R gas is gas constant (J/ kg K)).
Dynamic causal modelling is a framework for fitting differential equation (state space) models of neural states to neuroimaging data using Bayesian inference (Friston et al., 2003).
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This equation states that carbon content governs the hardness values of the HAZ.
The potentiometer equation states that V out = V in × θ θ T (10).
This model consists of the master equation stated below in (3.2), which closely resembles (1.6).
The index was computed by the integration of the total normalized weights of different polygons using equation stated below.
This equation states that if the HS-DSCH is active, the total transmit power is equal to the target power.
This equation states that a concentration gradient ∇I causes a flux j which aims to compensate for this gradient [17].
The stationary monochromatic radiative transfer equation is a partial differential transport equation stated on a five-dimensional phase space.
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