# Two-Phase Nucleate Boiling in a Cylindrical Pipe

In this application, AcuSolve is used to simulate the changes in wall temperature due to two-phase nucleate boiling at the heated walls of a pipe with water flowing through it. AcuSolve results are compared with experimental results adapted from Koncar and others (2015). The close agreement of AcuSolve results with experimental results validates the ability of AcuSolve to model two-phase nucleate boiling problems.

## Problem Description

The problem consists of a pipe with heated surrounding walls, as shown in the
following image, which is not drawn to scale. The length of the pipe is 2 m and the
radius is 0.0017 m. Mass flux at the inlet is 900 kg/m^{2} and the
temperature of the fluid entering the pipe is 473 K. A heat flux of 570,000
W/m^{2} is applied on the walls. The preheated water enters the inlet
and heat is transferred to the fluid from the walls. The heat causes sub-cooled
boiling to occur in the region close to the wall and leads to the formation of
bubbles at nucleation sites.

During sub-cooled boiling flow, heat and mass exchange between the phases takes place on the heated wall and in sub-cooled liquid flow. On the heated surface the vapor bubbles are generated and as they move through the sub-cooled liquid they condense and release the latent heat.

## AcuSolve Results

^{2}and the results are presented in the following image. The experimental values of wall temperature are presented with the corresponding AcuSolve results along the centerline of the pipe and along the pipe wall. The AcuSolve results show good agreement with the experimental results for the temperature, indicating that the two-phase nucleate boiling is properly captured.

## Summary

The AcuSolve solution compares well with experimental results for two-phase nucleate boiling simulations. In this application, the temperature of the wall as the onset of boiling approaches are simulated with AcuSolve using the nucleate boiling feature and the SA turbulence model. The experimental values of temperature are presented with the corresponding AcuSolve results. A good agreement of simulation results with the experiment validates the ability to solve two-phase nucleate boiling using the nucleate boiling capabilities of AcuSolve.

## Simulation Settings for Two-Phase Nucleate Boiling in a Cylindrical Pipe

HyperWorks database file: <your working directory>\pipe_two_phase_boiling\pipe_two_phase_boiling.hm.

Global

- Problem Description
- Analysis type – Transient
- Turbulence equation – SA
- Temperature equation – Advective Diffusive

- Auto Solution Strategy
- Maximum time steps –
`500` - Initial time increment –
`0.003` - Convergence Tolerance –
`0.001`sec - Relaxation factor –
`0.3`

- Maximum time steps –
- Surface Tension Model (“Water_NB-Vapor_NB”)
- Type – Constant
- Surface Tension –
`0.02382`

- Material Model
- Vapor_NB
- Type – Constant
- Density –
`23.75`kg/m^{3} - Viscosity –
`1.79e-05`kg/m-sec - Specific Heat –
`4225`J/kg-K - Latent Heat –
`1675570` - Latent Heat Temperature –
`530.55`K - Conductivity –
`0.02528`W/m-K

- Water_NB
- Type – Constant
- Density –
`800`kg/m3 - Viscosity –
`0.0001339`kg/m-sec - Specific Heat –
`4500`J/kg-K - Conductivity –
`0.65`W/m-K

- Vapor_NB

- Multifield parameter (Field interaction model)
- Type – Algebraic Eulerian
- Phase change type – Wall Boiling
- Carrier field - Water
- Disperse field – Vapor
- Disperse field diameter type – Boiling kurul exponential
- Drag model – Ishii zuber
- Lift Model – Legendre Magnaudet

Model

- Volumes
- Fluid
- Material – Vapor_Water

- Fluid
- Surfaces
- Inflow
- Simple Boundary Condition – Inflow
- Inflow type – Mass Flux Rate
- Mass Flux Rate –
`0.167634`kg/sec - Temperature –
`473`K

- Outflow
- Simple Boundary Condition – Outflow
- Pressure –
`4500000`N/m2

- Wall
- Simple Boundary Condition – Wall
- Temperature type – Flux
- Heat Flux –
`570000`W/m2

- Inflow

## References

B. Koncar, E. Krapper, Y. Egorov, 2005, “CFD MODELING OF SUBCOOLED FLOW BOILING FOR NUCLEAR ENGINEERING APPLICATIONS”, International Conference Nuclear Energy for New Europe 2005, Bled, Slovenia, September 5-8,2005.