\شماره٪٪۱
Blevins, R.D., {\it Flow Induced Vibrations}., Van Nostrand Reinhold
Company, New York, 363 p. (1977).
\شماره٪٪۲
Zang, Z.P., Gao, F.P. and Cui, J.S. ``Physical modeling and swirling
strength analysis of vortex shedding from near-bed piggyback pipelines'',
{\it Applied Ocean Research}, {\bf 40}, pp. 50-59 (2013).
\شماره٪٪۳
Mao, Y. ``The interaction between a pipeline and an erodible bed'',
PhD Thesis, Lyngby, Denmark, Technical University of Denmark (1986).
\شماره٪٪۴
Sumer, B.M. ``Physical and mathematical modelling of scour'', {\it In
Proceedings 2nd International Conference on Scour and Erosion (ICSE-2)},
Singapore (Nov. 14-17 2004).
\شماره٪٪۵
Bearman, P. W. and Zdravkovich, M.M. ``Flow around a circular cylinder near
a plane boundary'', {\it Journal of Fluid Mechanics},
{\bf 89}(1), pp. 33-47 (1978).
\شماره٪٪۶
Breusers, H.N.C. and Raudkivi, A.J. ``Scouring, hydraulic structure design
manual'', No. 2, I.A.H.R. Balkema, 152 p. (1991).
\شماره٪٪۷
Bijker, E.W. and Leeuwestein, W. ``Interaction between pipelines and the
seabed under the influence of waves and currents'', In Seabed Mechanics,
Springer, Dordrecht, pp. 235-242 (1984).
\شماره٪٪۸
Huisbergen, C.H. ``Stimulated self-burial of submarine pipelines'',
{\it Offshore Technology Conference} (Jan 1984).
\شماره٪٪۹
Hulsbergen, C.H. ``Spoilers for stimulated self-burial of submarine
pipelines'', {\it Offshore Technology Conference} (Jan 1986).
\شماره٪٪۱۰
Hulsbergen, C.H. and Bijker, R. ``Effect of spoilers on submarine pipeline
stability'', {\it Offshore Technology Conference} (Jan 1989).
\شماره٪٪۱۱
Hansen, E.A., Fredsoe, J. and Ye, M. ``Two-dimensional scour below
pipelines'', In International Offshore Mechanics and Arctic Engineering,
Symposium, 5, pp. 670-678 (1986).
\شماره٪٪۱۲
Westerhorstmann, J.H., Machemehl, J.L. and Jo, C.H. ``Effect of pipe
spacing on marine pipeline scour'', {\it In The 2ed International Offshore and
Polar Engineering Conference, International Society of Offshore and Polar
Engineers} (Jan 1992).
\شماره٪٪۱۳
Cheng, L. and Chew, L.W. ``Modelling of flow around a near-bed pipeline
with a spoiler'', {\it Ocean Engineering}, {\bf 30}(13), pp. 1595-1611 (2003).
\شماره٪٪۱۴
Zhao, J. and Wang, X. ``CFD numerical simulation of the submarine pipeline
with a spoiler'', {\it Journal of Offshore Mechanics and Arctic Engineering},
{\bf 131}(3), 5 p. (2009).
\شماره٪٪۱۵
Arnold, M.B. ``The south sudan defence force: Patriots, collaborators or
spoilers'', {\it Journal of Modern African Studies},
{\bf 45}(4), pp. 489-516 (2007).
\شماره٪٪۱۶
Zhang, Z.Y., Shi, B., Ruan, X.J. and et al. ``Study on the submarine
pipeline with spoiler under wave action'', {\it Ocean Engineering (Haiyang
Gongcheng)}, {\bf 30}(4), pp. 90-96 (2012).
\شماره٪٪۱۷
``Calculation and experiment on Yang, L., Shi, B., Guo, Y. and et al.
scour depth for submarine pipeline with a spoiler'', {\it Ocean Engineering},
{\bf 55}, pp. 191-198 (2012).
\شماره٪٪۱۸
Zhu, H., Qi, X., Lin, P. and et al. ``Numerical simulation of flow around
a submarine pipe with a spoiler and current-induced scour beneath the
pipe'', {\it Applied Ocean Research}, {\bf 41}, pp. 87-100 (2013).
\شماره٪٪۱۹
Zheng, H.C., Shi, B. and Yu, Q. ``Numerical study on spoiler torque effect
to a half-buried pipeline'', {\it In International Conference on Computer
Information Systems and Industrial Applications, Atlantis Press}, pp. 892-893
(June, 2015).
\شماره٪٪۲۰
Zhao, M., Vaidya, S., Zhang, Q. and et al. ``Local scour around two
pipelines in tandem in steady current'', {\it Coastal Engineering},
{\bf 98}, pp.
1-15 (2015).
\شماره٪٪۲۱
Hu, D., Tang, W., Sun, L. and et al. ``Numerical
simulation of local scour around two pipelines in tandem using CFD-DEM
method'', {\it Applied Ocean Research}, {\bf 93}, 101968, pp.137-149 (2019).
\شماره٪٪۲۲
Damroudi, M., Esmaili, K. and Rajaei, S.H. ``Effect of pipeline external
geometry on local Ssour and self-burial time scales in
current'', {\it Journal
of Applied Fluid Mechanics}, {\bf 14}(1), pp. 103-115 (2021).
\شماره٪٪۲۳
Yang, S., Shi, B. and Guo, Y. ``Investigation on scour scale of piggyback
pipeline under wave conditions'', {\it Ocean Engineering},
{\bf 182}, pp. 196-202
(2019).
\شماره٪٪۲۴
Tofany, N., Low, Y.M., Lee, C.H. and et al. ``Two-phase flow
simulation of scour beneath a vibrating pipeline during the tunnel erosion
stage'',
{\it Physics of Fluids}, {\bf 31}(11), pp. 250-63, 113302 (2019).
\شماره٪٪۲۶
Guan, D., Melville, B.W. and Friedrich, H. ``Flow patterns and turbulence
structures in a scour hole downstream of a submerged weir'', {\it ASCE,
Journal of Hydraulic Engineering}, {\bf 140}(1), pp. 68-76 (2014).
\شماره٪٪۲۷
Melville, B.W. ``Pier and abutment scour: integrated approach'',
{\it Journal of hydraulic Engineering}, {\bf 123}(2), pp. 125-136 (1997).
\شماره٪٪۳۰
Chiew, Y.M. ``Prediction of maximum scour depth at submarine
pipelines'', {\it Journal of Hydraulic Engineering},
{\bf 117}(4), pp. 452-466 (1991).
\شماره٪٪۳۱
Fredsoe, J., Sumer, B.M. and Arnskov, M.M. ``Time scale for wave/current
scour below pipelines'', {\it In The 1st International Offshore and Polar
Engineering Conference, International Society of Offshore and Polar
Engineers},
(Jan 1991).
)