Experimental investigation about the incipient velocity of spherical particles on a hemispherical bed surface

Ali, 2016, Hydrodynamics of sediment threshold, Physics of Fluids, 28, 1, 10.1063/1.4955103 Aracena, 2020, Movement initiation of millimeter particles on a rotating rough surface: The role of adhesion, Particuology, 53, 92, 10.1016/j.partic.2020.02.004 Bagnold, 1954, Experiments on a gravity-free dispersion of large solid spheres in a Newtonian fluid under shear, Proceedings of the Royal Society of London - Series A: Mathematical and Physical Sciences, 225, 49 Bian, 2023, Threshold of motion of coral sediment under currents in flume experiments, Sedimentology, 1–18 Chen, 2000, The flow characteristics between two interactive spheres, Chemical Engineering Science, 55, 1143, 10.1016/S0009-2509(99)00390-5 Chepil, 1958, The use of evenly spaced hemispheres to evaluate aerodynamic forces on a soil surface, Transactions - American Geophysical Union, 39, 397, 10.1029/TR039i003p00397 Chepil, 1961, The use of spheres to measure lift and drag on wind-eroded soil grains, Soil Science Society of America Journal, 25, 343, 10.2136/sssaj1961.03615995002500050011x Choi, 2018, Flow around in-line sphere array at moderate Reynolds number, Physics of Fluids, 30, 10.1063/1.5049734 CichockiB, 1988, Hydrodynamic interactions between two spherical particles, PCH PhysiooChermical Hydrodynamics, 10, 383 Clift, 1971, Motion of entrained particles in gas streams, Canadian Journal of Chemical Engineering, 49, 439, 10.1002/cjce.5450490403 Clift, 1978 Coleman, 1972, The drag coefficient of a stationary sphere on boundary of similar spheres, LA HOUILLE BLANCHE, 17, 10.1051/lhb/1972001 Coleman, 1977, Extention of the drag coefficient function for a stationary sphere on a boundary of similar spheres, LA HOUILLE BLANCHE, 325, 10.1051/lhb/1977025 Deal, 2023, Grain shape effects in bed load sediment transport, Nature, 613, 298, 10.1038/s41586-022-05564-6 Dementiev, 1935 Dey, 1999, Sediment threshold, Applied Mathematical Modelling, 23, 399, 10.1016/S0307-904X(98)10081-1 D Hottovy, 1979, 433 Donald, 1976, Grain flow and grain flow deposits, SEPM Journal of Sedimentary Research, 46, 188 Duan, 2020, Experimental study on uniform and mixed bed-load sediment transport under unsteady flow, Applied Sciences, 10, 1, 10.3390/app10062002 Du, 2023, Microscopic description of basal stress generated by granular free-surface flows, Journal of Geophysical Research: Earth Surface, 128, 1 Dwivedi, 2010, Hydrodynamic forces generated on a spherical sediment particle during entrainment, Journal of Hydraulic Engineering, 136, 756, 10.1061/(ASCE)HY.1943-7900.0000247 Dwivedi, 2011, Flow structures and hydrodynamic force during sediment entrainment, Water Resources Research, 47, 1, 10.1029/2010WR009089 Egiazarov, 1960, Generalised equation for transport of unbound sediment, Resistance coefficient of an eroding channel and non-degradable velocity, Proceedings of the 1st All-Union Hydrological Congress, 117 Einstein, 1949, Hydrodynamic forces on a rough wall, Reviews of Modern Physics, 21, 520, 10.1103/RevModPhys.21.520 Ermilov, 2022, Bedload transport analysis using image processing techniques, Acta Geophysica, 70, 2341, 10.1007/s11600-022-00791-x Fillingham, 2021, Drag, lift, and torque on a prolate spheroid resting on a smooth surface in a linear shear flow, Powder Technology, 377, 958, 10.1016/j.powtec.2020.09.042 Fortes, 2006, Nonlinear mechanics of fluidization of beds of spherical particles, Journal of Fluid Mechanics, 177, 467, 10.1017/S0022112087001046 Garde, 2010, Variation of the drag coefficient of a sphere rolling along a boundary, La Houille Blanche, 55, 727, 10.1051/lhb/1969057 Gomez, 2022, Bedload transport: beyond intractability, Royal Society Open Science, 9, 211932, 10.1098/rsos.211932 Guoren, 1960, The continue discussion of incipient velocity of sediment, Journal of Sedimentary Research, 1 Halow, 1973, Incipient rolling, sliding and suspension of particles in horizontal and inclined turbulent flow, Chemical Engineering Science, 28, 1, 10.1016/0009-2509(73)85080-8 Hölzer, 2009, Lattice Boltzmann simulations to determine drag, lift and torque acting on non-spherical particles, Computers & Fluids, 38, 572, 10.1016/j.compfluid.2008.06.001 Jadoon, 2010, Dynamic interaction of fixed dual spheres for several configurations and inflow conditions, European Journal of Mechanics - B: Fluids, 29, 43, 10.1016/j.euromechflu.2009.09.003 Jeffreys, 2008, On the transport of sediments by streams, Mathematical Proceedings of the Cambridge Philosophical Society, 25, 272, 10.1017/S0305004100013979 Jiang, 2015, Study on threshold motion of sediment and bedload transport by tsunami waves, Ocean Engineering, 100, 97, 10.1016/j.oceaneng.2015.03.011 Kalman, 2022, Terminal velocity and drag coefficient for spherical particles, Powder Technology, 396, 181, 10.1016/j.powtec.2021.10.053 Kim, 2006, Three-dimensional flow over two spheres placed side by side, Journal of Fluid Mechanics, 246, 465, 10.1017/S0022112093000229 Liang, 1996, Effects of particle arrangements on the drag force of a particle in the intermediate flow regime, International Journal of Multiphase Flow, 22, 285, 10.1016/0301-9322(95)00070-4 Ling, 1995, Criteria for incipient motion of spherical sediment particles, Journal of Hydraulic Engineering, 121, 472, 10.1061/(ASCE)0733-9429(1995)121:6(472) Liu, 2015, Experimental studies on the shape and motion of air bubbles in viscous liquids, Experimental Thermal and Fluid Science, 62, 109, 10.1016/j.expthermflusci.2014.11.018 Li, 2018, Formula of bed-load transport based on the total threshold probability, Environmental Fluid Mechanics, 19, 569, 10.1007/s10652-018-9638-0 Lukerchenko, 2012, Drag force, drag torque, and magnus force coefficients of rotating spherical particle moving in fluid, Particulate Science and Technology, 30, 55, 10.1080/02726351.2010.544377 Maniatis, 2020, Inertial drag and lift forces for coarse grains on rough alluvial beds measured using in-grain accelerometers, Earth Surface Dynamics, 8, 1067, 10.5194/esurf-8-1067-2020 Novak, 2010, Incipient motion of sediment particles over fixed beds, Journal of Hydraulic Research, 22, 181, 10.1080/00221688409499405 O'Brien, 1952, The forces exerted by waves on objects, Transactions - American Geophysical Union, 33, 32, 10.1029/TR033i001p00032 Petroff, 2001, Particle advection by turbulent bores–orientation effects, 897 Pinar, 2013, Experimental study of flow structures around side-by-side spheres, Industrial & Engineering Chemistry Research, 52, 14492, 10.1021/ie4022732 Prahl, 2007, On the interaction between two fixed spherical particles, International Journal of Multiphase Flow, 33, 707, 10.1016/j.ijmultiphaseflow.2007.02.001 Rabinovich, 2009, Incipient motion of individual particles in horizontal particle–fluid systems: A. Experimental analysis, Powder Technology, 192, 318, 10.1016/j.powtec.2009.01.013 Rabinovich, 2009, Incipient motion of individual particles in horizontal particle–fluid systems: B. Theoretical analysis, Powder Technology, 192, 326, 10.1016/j.powtec.2009.01.014 Rowe, 1961, Drag forces in a hydraulic model of a fluidised bed-part I, Transactions of the Institution of Chemical Engineers, 39, 43 Rowe, 1961, Drag forces in a hydraulic model of a fluidised bed-part II, Transactions of the Institution of Chemical Engineers, 39, 175 Rubinow, 2006, The transverse force on a spinning sphere moving in a viscous fluid, Journal of Fluid Mechanics, 11, 447, 10.1017/S0022112061000640 Sabine, 2004, Drag coefficients of irregularly shaped particles, Powder Technology, 139, 21, 10.1016/j.powtec.2003.10.002 Safari, 2016, Artificial neural network and regression models for flow velocity at sediment incipient deposition, Journal of Hydrology, 541, 1420, 10.1016/j.jhydrol.2016.08.045 Safari, 2017, Experimental analysis of sediment incipient motion in rigid boundary open channels, Environmental Fluid Mechanics, 17, 1281, 10.1007/s10652-017-9550-z Saffman, 2006, The lift on a small sphere in a slow shear flow, Journal of Fluid Mechanics, 22, 385, 10.1017/S0022112065000824 Sparks, 1976, Grain size variations in ignimbrites and implications for the transport of pyroclastic flows, Sedimentology, 23, 147, 10.1111/j.1365-3091.1976.tb00045.x Sun, 2022, Influence of aspect ratio and arrangement direction on the shear behavior of ellipsoids, Particuology, 70, 82, 10.1016/j.partic.2022.01.005 Tsuji, 1982, Fluid-dynamic interaction between two spheres, International Journal of Multiphase Flow, 8, 71, 10.1016/0301-9322(82)90008-8 Van Rijn, 1984, Sediment transport, Part I: Bed load transport, Journal of Hydraulic Engineering, 110, 1431, 10.1061/(ASCE)0733-9429(1984)110:10(1431) Wang, 2023, Experimental modification of the internal solitary wave force exerted on a horizontal transverse cylinder due to wave-flow and vortex shedding, Ocean Engineering, 269, 10.1016/j.oceaneng.2022.113513 Wang, 2022, An improved formula for incipient sediment motion in vegetated open channel flows, International Journal of Sediment Research, 37, 47, 10.1016/j.ijsrc.2021.06.001 Wang, 2021, Experimental study on vertical water entry of twin spheres side-by-side, Ocean Engineering, 221, 1, 10.1016/j.oceaneng.2020.108508 Wu, 2021, Incipient flow velocity of non-uniform sediment particles by considering the additional mass force, Ocean Engineering, 238, 2, 10.1016/j.oceaneng.2021.109705 Xie, 2023, Simultaneous measurements of inertial acceleration and flow structures during coarse-grain entrainment under steady currents, Ocean Engineering, 276, 1, 10.1016/j.oceaneng.2023.114165 Xu, 2008, Non-uniform sediment incipient velocity, International Journal of Sediment Research, 23, 69, 10.1016/S1001-6279(08)60006-2 Yang, 2018, Analysis of the motion of small-scale ellipsoidal particles in a horizontal laminar flow field, Particuology, 40, 44, 10.1016/j.partic.2017.12.005 Yun, 2020, Experimental study on vertical water entry of two tandem spheres, Ocean Engineering, 201, 10.1016/j.oceaneng.2020.107143 Zastawny, 2012, Derivation of drag and lift force and torque coefficients for non-spherical particles in flows, International Journal of Multiphase Flow, 39, 227, 10.1016/j.ijmultiphaseflow.2011.09.004 Zhu, 1994, Particle wake effects on the drag force of an interactive particle, International Journal of Multiphase Flow, 20, 117, 10.1016/0301-9322(94)90009-4 Zhu, 2007, Discrete particle simulation of particulate systems: Theoretical developments, Chemical Engineering Science, 62, 3378, 10.1016/j.ces.2006.12.089 Zou, 2017, Experimental measurements of sediment incipient velocity by using B-scan ultrasound imaging device in the water channel, Measurement, 98, 228, 10.1016/j.measurement.2016.12.006