Study of Backwater and Hydraulic Jump Phenomena in Historical Bridges by Computational Fluid Dynamics

Authors
1 Research Manager, Ardabil Regional Water Company
2 Prof., Faculty of Civil Engineering, University of Tabriz
3 University of Mohaghegh Ardabili
Abstract
Establishing a bridge in a waterway changes flow characteristics. Most of these changes derive from geometric details of bridge. Circular and pointed (nested) arches have been used as opening geometry in historical bridges. Historical bridges are valuable heritage and protection of them is important because of cultural continuity. Hydraulic study is a tool to recognize these structures and their design philosophy. In this research, effect of three opening geometry on backwater and hydraulic jump phenomena was numerically studied by Flow-3D software. The FLOW-3D software was selected because not only previous studies indicated that flow around a bridge as well as in a compound channel involves significant 3D characteristics but also it is a powerful hydraulic engineering design tool to model 3D free surface flows. The performance of FLOW-3D was tested using of experimental data obtained from test series which were conducted at the Hydraulic Laboratory, Birmingham University on two opening semi circular bridge model in compound channel (AMOSEC) in which the width of model was 0.10 m. Laboratory tests were carried out for low flow conditions without flow contact with the lower bridge deck (21 to 35 lit/sec). In order to study submerged (High Flow) condition, a program has been developed in the MATLAB environment to extrapolate discharges and related normal depth for 40 to 60 lit/sec discharges. Three opening geometry with the same area as AMOSEC model designed in the AutoCAD. DWG files converted into the Stereolithography format and imported into the Flow-3D.The computational domain, 18 m long and 1.213 m wide, was divided into structured grids. This domain involved nonuniform rectangular grids of 950, 100 and 26 to 40 cells in the x-, y- and z-directions, respectively. Inflow boundary condition was specified as discharge. The downstream boundary condition was specified with a constant fluid height equal to the uniform depth. The sidewalls as well as the channel bottom were defined to be no slip boundaries. On the top, the symmetry (atmospheric) boundary condition was assigned to describe the free surface flow condition. Measured uniform flow depth with zero velocities for each run was assigned to each computational cell to set the initial flow condition. Free surface modeled by VOF and turbulence by two equation K-ɛ methods. Then, a total of 27 runs carried out until steady state resulted. The results indicate that pointed arch geometry makes maximum afflux for both low flows (sub-soffit) and high flows (super-soffit) conditions in all models. Emerging Location of afflux at longitudinal axis is the same for all of the models. Length of hydraulic jump for pointed arch geometry is maximum under low flow condition and minimum under high flow condition. Hydraulic jump starts near the pier for rectangular opening geometry in comparison with others. Critical shear stress due to hydraulic jump is minimum for rectangular geometry and maximum for pointed arch in all discharge conditions. Circular opening geometry produces less upstream flooding and less possibility of downstream bed destruction, so it has advantages on pointed arch geometry.Out of the structural reasons, whole of these results may be considered as hydraulic reason of evolution of pointed arch to semi circular geometry from Safavid to Qajar era.

Keywords


1] Kariminia A., Salehi Neyshabouri S.A., “Numerical Simulation of the Afflux Phenomena in Bridge Piers”, Journal of Civil Engr. And Survey (Tech. Faculty), 5(4), 1390, Pp. 487-493 (In Persian).
[2] Hassanzadeh Y., Hakimzadeh H., Alami M., Sarveram H., “Study of Flow Backwater due to the Bridge Pier in Subcritical Flows by the Experimental and Numerical Models”, Technical Faculty of Tabriz University Journal, 36(3), 1387, Pp.15-22 (In Persian).
[3] Montazer Gh., Qhodsian M., Nasiri F., Javan M., Eqbalzadeh A., “Intelligent Prediction of the Afflux due to Bridge Pier Using Radial Basis Function ANN”, Modares Tech. and Engr. Journal, 1382, 14, Pp. 49-62 (In Persian).
[4] Hamzei M., Eqbalzadeh M., Amini S.A., “Study of the Interaction of the Mean Flow Field around Submerged Bridge Deck with the Channel Bed and Free Surface”, Journal of Iranian Water Research, 6(10), Pp. 67-74 (In Persian).
 [5] Roussinova V., "Turbulent structures in smooth and rough open channel flows: effect of depth",  Electronic Thesis and Dissertations, Paper 94, 2009.
[6] Prohaska S., Jancke T., Westrich B., "Model Based Estimation of Sediment Erosion in Groyne Fields Along the River Elbe", XXIVth Conference of the Danubian Countries, IOP Publishing, 2008.
[7] Mohamadi M.A., “The Effect of Channel Section Shape on the Shear Stress Distribution in the Free Channels”, Technical Faculty of Tabriz University Journal, 29(3), 1382, Pp.53-64 (In Persian).
[7] Mohamadi M.A., “Wall Shear Stress the Channels with Partially Full Circular Section”, Technical Faculty of Tabriz University Journal, 36(3), 1387, Pp.37-47 (In Persian).
[9] Rodriguez J.F., Garcia M.H., "Laboratory measurements of 3-D flow patterns and turbulence in straight open channel with rough bed", Journal of Hydraulic Research, 46(4), 2008, Pp: 454–465.
[[1]0] Kirkgöz M., "Turbulent Velocity Profiles for Smooth and Rough Open Channel Flow", Journal of Hydraulic Engineering, 115(11), 1989, Pp: 1543–1561.
[11] Abo A,. Greaves D., "A Three-Dimensional Flow Model for Different Cross-Section High-Velocity Channels", PhD thesis, Plymouth University, 2013.
[12] Zorratipour M., “Estimation of the Hydraulic Jump length and Determination of th Flow Surface Profile via Air Entrance Theory into the Hydraulic Jump and its Numerical Modeling”, Engineer’s Message Journal, 1390, (54), 54-61 (In Persian).
[13] Mohajeri S.H., Salehi Neyshabouri S.A., Safarzadeh A., “Experimental Study of the Turbulent Flow Pattern in the Straight Channel”, 10th Iranian Hydrulic Conf., Guilan, 1390 61 (In Persian).
 [14] Southard J., "Introduction to Fluid Motions, Sediment Transport, and Current-Generated Sedimentary Structures", MIT Opencourseware, 2006.
[15] Mehraein M., Ghodsian.M. SalehiNeyshaboury. S.A.A., "Local Scour Due to Inclined Circular Wall Jet, Proceedings of  ICE, Journal of Water Management", 164(3), 2011, Pp: 111-122.
[16] Chanson, H. , "Turbulent Shear Stresses in Hydraulic Jumps and Decelerating Surges: An Experimental Study", Earth Surface Processes and Landforms, 36(2), 2011, Pp: 180-189.
[17] Jia Y., Wang S.,"CCHE2D: Two-dimensional Hydrodynamic and Sediment Transport Model For Unsteady Open Channel Flow Over Loose Bed", Technical Report no. NCCHE-TR-2001-1, 2001.
[18] Atabay S, Knight D.W., "Bridge afflux experiments in compound channels", Technical paper presented for JBA Consulting Engineers & Scientists and the Environment Agency, 2002.