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A Hyperbolic One-Dimensional Model for Two-Phase Flows in Converging-Diverging Nozzles
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DOI：10.1115/1.4069467.png)
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Abstract
En 中文
Partial-evaporation organic Rankine cycle power systems are a promising technology for power generation from low-temperature heat sources such as waste heat and geothermal heat. A specific challenge in two-phase turbines is converging-diverging nozzle design and performance analysis. Existing one-dimensional methods for two-phase flows in nozzles typically rely on space-marching approaches, which are unsuitable for predicting shock waves and thus limit their application to adapted expansion conditions. To address the limitations of existing models, this article presents a new one-dimensional two-phase flow model suitable for capturing shock waves in converging-diverging nozzles. The model employs a finite volume method to solve the balance equations in a conservative form, using time-marching methods to reach the steady-state solution. The predictive performance of the proposed model is validated against experimental data from converging-diverging nozzles using various working fluids, including organic molecules and CO2 . The results indicate that the proposed model formulation is suitable for predicting the performance of two-phase nozzles in terms of pressure distribution, critical mass flowrate, and shock wave characteristics across a wide range of operating conditions. These findings suggest that the developed model can be a reliable tool for the preliminary design and analysis of converging-diverging nozzles in two-phase turbines.
Keywords:
organic Rankine cycle
flashing
condensation
shock waves
converging-diverging nozzle
space-marching methods
time-marching methods
numerical flux
computational fluid dynamics (CFD)
Journal
J
IF:
3.1
Papers:
133
Citations:
1.1W