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It also requires that the closure problem be solved simultaneously with the macroscopic boundary value problem.
Furthermore, it will be shown that ionosphere contribution and source structure effects, so-called core-shifts, can be solved simultaneously with the delay, which is the main geodetic observable for follow-on analysis.
It follows from this novel idea that the problems associated with reaction heat removal and low catalyst efficiency of the liquid-filled catalyst could be solved simultaneously with emptying of the liquid from the catalyst.
When combined, this is a fourth order non-linear partial differential equation for h, defined on the 2D surface X. Alternately, Eq. 11 may be solved simultaneously with Eq. 24 for μ and h as two coupled second order equations on X.
To accurately calculate the concentration profile of CO2 along the cell, the diffusion equation (Eq. 1) with molecular diffusivity has to be solved simultaneously with the Navier Stokes equation to consider the effect of natural convection on the CO2 profile in the PVT cell.
Direct discretization of the Reynolds equation for thrust bearings by means of a Finite Element or Finite Difference approach entails rather large simulation times, since in every time-integration step a discretized model of the Reynolds equation has to be solved simultaneously with the rotor model.
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The system is solved simultaneously with the check point Eq. (5).
In the analysis, heat conduction equations in the ice and unfrozen water layers are solved simultaneously with the mass balance, including incoming droplets.
The electrochemical equations for the fuel cell and thermodynamic and exergoeconomic relations for the system components are solved simultaneously with EES Engineering Equation Solverr) software.
The melt is modeled as a Boussinesq fluid and the transient Navier Stokes equations are solved simultaneously with the transient heat and solute transport equations.
In this method, the population balance is solved simultaneously with the mass balances using crystallisation kinetic, solubility and computational fluid dynamics (CFD) mixing data.
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