Dispersion Simulations of Exhaust Smoke Discharged from Anchor-Handling Tug Supply Vessel under Various Wind Conditions
Abstract
:1. Introduction
2. Numerical Methods
2.1. Governing Equations
2.2. Numerical Algorithm and Schemes
3. Numerical Simulations
3.1. Validation Test
3.2. Dispersion of Exhaust Smoke Gases
3.2.1. Modeling, Computational Domain, and Boundary Conditions
3.2.2. Grid Uncertainty Assessment
3.2.3. Computational Cases
3.2.4. Simulation Results
4. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Nomenclature
pressure coefficient (-) | |
diameter of the circular pipe (m) | |
gravitational acceleration vector (ms−2) | |
height of representative cell (m) | |
index of species (-) | |
diffusion flux of species (kgm−3s−1) | |
turbulent kinetic energy (m−2s−2) | |
length of ship (m) | |
pressure (Pa) | |
apparent order (-) | |
net rate of production of species i by chemical reactions (kgm−2s−1) | |
rate of creation by addition from the dispersed phase (kgm−2s−1) | |
cell ratio hj/hi (-) | |
velocity ratio (-) | |
time (s) | |
velocity vector (ms−1) | |
jet velocity from the circular pipe (ms−1) | |
co-flow velocity (ms−1) | |
wind velocity (ms−1) | |
velocity vector (ms−1) | |
mass fraction of the chemical species i (-) | |
dissipation rate of turbulence (m2s−3 m) | |
difference between solution of ith grid and jth grid (-) | |
density (kgm−3) | |
stress tensor (Nsm−2) |
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Boundaries | v | p | k | |||
---|---|---|---|---|---|---|
Ship | Hull | No slip | Zero gradient | Zero gradient | ||
Pipe inlet | Fixed value | Fixed value | ||||
Domain | Inlet | Fixed value | Zero gradient | Fixed value | Zero gradient | |
Outlet | Zero gradient | Fixed value | Zero gradient | |||
Sides | Fixed value | Zero gradient | Fixed value | |||
Top | Zero gradient | |||||
Bottom | Zero gradient | Free slip | Zero gradient |
Coarse | Medium | Fine | |
---|---|---|---|
Total number of meshes | 807,000 | 1,711,000 | 3,559,000 |
Representative cell () | 93.11 | 119.59 | 152.68 |
Ratio of h | - | 1.27 | 1.28 |
NO2 concentration [ppm] | 0.3957 | 0.3719 | 0.3681 |
Difference rate | - | 2.3% | 1.2% |
Apparent order ( | 2.9 | ||
Extrapolated value ( | 0.3492 | ||
Approximate relative error ( | 3.27% | ||
Extrapolated relative error ( | 3.11% | ||
Grid convergence index ( | 3.77% |
Wind Direction | 0° | 15° | 45° | 90° | 180° | 315° | 345° | |
---|---|---|---|---|---|---|---|---|
Wind Speed | ||||||||
10 knots | ○ | ○ | ⅹ | ○ | ⅹ | ⅹ | ⅹ | |
15 knots | ⅹ | ⅹ | ⅹ | ⅹ | ⅹ | ⅹ | ⅹ |
Wind Direction | 0° | 15° | 45° | 90° | 180° | 315° | 345° | |
---|---|---|---|---|---|---|---|---|
Wind Speed | ||||||||
10 knots | ○ | ○ | ○ | ○ | ○ | ○ | ○ | |
15 knots | ○ | ○ | ○ | ○ | ○ | ○ | ○ |
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Jeong, S.-M.; Ji, H.J.; Jeong, K.-L.; Park, S. Dispersion Simulations of Exhaust Smoke Discharged from Anchor-Handling Tug Supply Vessel under Various Wind Conditions. Appl. Sci. 2023, 13, 7752. https://0-doi-org.brum.beds.ac.uk/10.3390/app13137752
Jeong S-M, Ji HJ, Jeong K-L, Park S. Dispersion Simulations of Exhaust Smoke Discharged from Anchor-Handling Tug Supply Vessel under Various Wind Conditions. Applied Sciences. 2023; 13(13):7752. https://0-doi-org.brum.beds.ac.uk/10.3390/app13137752
Chicago/Turabian StyleJeong, Se-Min, Hae Jin Ji, Kwang-Leol Jeong, and Sunho Park. 2023. "Dispersion Simulations of Exhaust Smoke Discharged from Anchor-Handling Tug Supply Vessel under Various Wind Conditions" Applied Sciences 13, no. 13: 7752. https://0-doi-org.brum.beds.ac.uk/10.3390/app13137752