2006
DOI: 10.1243/09576509jpe146
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Modification of the upwind schemes for the computation of condensing two-phase flows

Abstract: The eigenvalues and eigenvectors of the Jacobian matrix of the homogeneously condensing two-phase flow equations are derived. These are useful for all upwind schemes. Details of the implementation in the Roe scheme are described. Example calculations for condensing wet steam flow are provided, which compare well with the experimental results.

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Cited by 8 publications
(8 citation statements)
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“…Next, knowing the pressure and the vapour density, the temperature of the vapour phase is cal- culated from the equation of state. The liquid temperature is calculated from the relation proposed by Gyarmathy [6]:…”
Section: Flow Governing Equationsmentioning
confidence: 99%
See 1 more Smart Citation
“…Next, knowing the pressure and the vapour density, the temperature of the vapour phase is cal- culated from the equation of state. The liquid temperature is calculated from the relation proposed by Gyarmathy [6]:…”
Section: Flow Governing Equationsmentioning
confidence: 99%
“…So far, however, many researchers e.g. [6,7] have been using the ideal gas model for the steam flow. Generally, there are two main ways to include the real gas properties for the solution to the flow governing equations.…”
Section: Introductionmentioning
confidence: 99%
“…However, the pressure in multi-phase flow can be changed due to the water droplets, the approximation for pressure in wet-steam flows (eq. (12)) is used based on the study of Mei et al [24] The accuracy of flow variables can be modified by changing the equation of state as Virial equation or IAPWS-97, so further studies are needed to check the effects of equation of state used.…”
Section: Droplet Diametermentioning
confidence: 99%
“…In TFlow, the pressure is used to derive from the total energy and fluid velocity based on the ideal gas law. The pressure can change due to the formation of water droplets, so the approximation of pressure in wet-steam flows is redefined using Equation (12) (Mei & Guha, 2006). Additionally, the accuracy of calculated flow variables can be increased by changing the equation of state via the Virial equation or IAPWS-97, so further studies on the effects of the equations of states used are needed.…”
Section: The Non-equilibrium Wet-steam Modelmentioning
confidence: 99%