GULLY MODELING FOR FOREST RECLAMATION PURPOSES
- Land Reclamation, Recultivation, and Land Protection
Purpose: to determine the effect of small interpipe distances (1D–4D) on the flow structure and hydrodynamic loads while flowing round two parallel pipelines.
Materials and methods. Experimental studies of the vertical flow velocity distribution were conducted in various cross-sections: on the approach to the transition, in a close proximity of the pipelines, behind the pipelines, and in the shell side – on a hydraulic channel in the Hydraulics and Hydromechanics Laboratory of the Moscow State University of Civil Engineering. Numerical simulation of the free-stream flowing round the pipeline crossing with incoming flow was performed using the ANSYS Fluent software package. Pipeline models for the laboratory experiment were made of plastic, the diameter of the models was 25 mm, the surface roughness was simulated using № 100 sandpaper with an equivalent roughness peak height of 100 μm. In numerical simulations, the SST model was used to describe turbulence, and the free surface was taken into account using the VOF method. The developed mathematical model was verified by comparing the numerical simulation results with experimental data obtained in a study of flowing round a pipeline located at the bottom of a hydraulic flume.
Results. It was found that, for interpipe distances in the 1D–3D range, a trace zone forms behind the first pipe, maintaining a significant influence on the second pipe and causing a decrease in uplift force and the appearance of a negative longitudinal induced lift drag component. As the interpipe distance increases to 4D, a transition to a regime of virtually independent flow is observed, accompanied by the restoration of the flow structure ahead of the second pipe.
Conclusions. An interpipe distance of approximately 4D can be considered rational for reducing the mutual hydrodynamic influence of parallel lines of an underwater pipeline.
doi: 10.31774/2712-9357-2026-16-2-318-336
underwater pipelines, hydrodynamic interaction, intertube distance (1D–4D), turbulence modeling, SST model, Volume of Fluid (VOF) method, ANSYS Fluent, numerical simulation, hydraulic flume, experimental studies, uplift and longitudinal forces
Sherstnev D. Yu., Bryanskaya Yu. V. Hydrodynamic interaction of two parallel pipelines with small interpipe distances. Land Reclamation and Hydraulic Engineering. 2026;16(2):318–336. (In Russ.). https://doi.org/10.31774/2712-9357-2026-16-2-318-336.
1. Mordvintsev K.P., Gogin A.G., Korneeva E.M., 2021. Ustoychivost' podvodnogo truboprovoda pri vozdeystvii techeniya i voln [Submarine pipeline stability under currents and waves action]. Inzhenernye issledovaniya [Engineering Research], vol. 22, no. 1, pp. 113-121, DOI: 10.22363/2312-8143-2021-22-1-113-121, EDN: TDVELH. (In Russian).
2. Cokgor S., Avci I., 2001. Hydrodynamic forces on partly buried tandem, twin pipelines in current. Ocean Engineering, vol. 28, no. 10, pp. 1349-1360, DOI: 10.1016/S0029-8018(00)00051-2.
3. Azamathulla H.M., Zakaria N.A., 2011. Prediction of scour below submerged pipeline crossing a river using ANN. Water Science and Technology, vol. 63, no. 10, pp. 2225-2230, DOI: 10.2166/wst.2011.459.
4. Bryanskiy I.A., Borovkov V.S., 2021. Velocity distribution along the flow depth in the pipe crossing’s area of influence. Power Technology and Engineering, vol. 55, pp. 26-29, DOI: 10.1007/s10749-021-01314-2, EDN: WWZHNM.
5. Muravyova L.V., 2015. Otsenka opasnosti podvodnogo truboprovoda [Hazard assessment of undersea pipeline]. Transportnye sooruzheniya [Transport Structures], vol. 2, no. 4, pp. 68-75, EDN: WHWRTR. (In Russian).
6. Dong H., Huang P., Sun Z., Li Z., Chong L., 2020. Numerical simulation of local scour and flow field around pipelines. Journal of Coastal Research, vol. 111, no. sp1, pp. 272-278, DOI: 10.2112/JCR-SI111-049.1, EDN: FEUTGT.
7. Ong M.C., Utnes T., Holmedal L.E., Myrhaug D., Pettersen B., 2012. Near-bed flow mechanisms around a circular marine pipeline close to a flat seabed in the subcritical flow regime using a k-ε model. Journal of Offshore Mechanics and Arctic Engineering, vol. 134, no. 2, art. 021803, DOI: 10.1115/1.4004631.
8. Jensen B.L., Sumer B.M., Jensen H.R., Fredsøe J., 1990. Flow around and forces on a pipeline near a scoured bed in steady current. Journal of Offshore Mechanics and Arctic Engineering, vol. 112, no. 3, pp. 206-213, DOI: 10.1115/1.2919858.
9. Versteeg H.K., Malalasekera W., 2007. An Introduction to Computational Fluid Dynamics: The Finite Volume Method. 2nd ed. Harlow, Pearson Education Limited, 528 p.
10. Wilcox D.C., 2006. Turbulence Modeling for CFD. 3rd ed. La Cañada, CA, DCW Industries, 522 p.
11. Schlichting H., Gersten K., 2000. Boundary-Layer Theory. 8th ed. Berlin, Springer, 801 p., DOI: 10.1007/978-3-662-52919-5.
12. Hirt C.W., Nichols B.D., 1981. Volume of fluid (VOF) method for the dynamics of free boundaries. Journal of Computational Physics, vol. 39, no. 1, pp. 201-225, DOI: 10.1016/0021-9991(81)90145-5.
13. White F.M., 2015. Fluid Mechanics. 8th ed. New York, McGraw-Hill Education, 864 p.
14. Launder B.E., Spalding D.B., 1974. The numerical computation of turbulent flows. Computer Methods in Applied Mechanics and Engineering, vol. 3, no. 2, pp. 269-289, DOI: 10.1016/0045-7825(74)90029-2, EDN: XQOCPG.
15. Gatski T.B., Speziale C.G., 1993. On explicit algebraic stress models for complex turbulent flows. Journal of Fluid Mechanics, vol. 254, pp. 59-78, DOI: 10.1017/S0022112093002034.
16. Menter F.R., 1994. Two-equation eddy-viscosity turbulence models for engineering applications. AIAA Journal, vol. 32, no. 8, pp. 1598-1605, DOI: 10.2514/3.12149.
17. Brackbill J.U., Kothe D.B., Zemach C., 1992. A continuum method for modeling surface tension. Journal of Computational Physics, vol. 100, no. 2, pp. 335-354, DOI: 10.1016/0021-9991(92)90240-Y.
18. Scardovelli R., Zaleski S., 1999. Direct numerical simulation of free-surface and interfacial flow. Annual Review of Fluid Mechanics, vol. 31, pp. 567-603, DOI: 10.1146/annurev.fluid.31.1.567.
19. Ferziger J.H., Perić M., 2002. Computational Methods for Fluid Dynamics. 3rd ed. Berlin, Springer, 423 p., DOI: 10.1007/978-3-319-99693-6.
Funding source: the study was carried out without external funding.