Characteristics and time scale of local scour downstream...

11

Transcript of Characteristics and time scale of local scour downstream...

Page 1: Characteristics and time scale of local scour downstream ...scientiairanica.sharif.edu/article_4187_21ad35685bf272fd7adc500414b... · ordinary spillways. Most of past studies on local

Scientia Iranica A (2018) 25(2), 532{542

Sharif University of TechnologyScientia Iranica

Transactions A: Civil Engineeringhttp://scientiairanica.sharif.edu

Characteristics and time scale of local scourdownstream stepped spillways

Y. Aminpoura, J. Farhoudia;�, H. Khalili Shayana, and R. Roshanb

a. Department of Irrigation and Reclamation Engineering, University of Tehran, Karaj, P.O. Box 31587-4111, Iran.b. Water Research Institute, Tehran, P.O. Box 16765-313, Iran.

Received 20 November 2015; received in revised form 27 August 2016; accepted 31 October 2016

KEYWORDSStepped spillway;Local scour;Time scale;Stilling basin;Hydraulic jump.

Abstract. Stepped spillways are employed to reduce excess energy encountered withexiting ow from high hydraulic structures. Study of local scour evolution downstreamof stepped spillways wilt, therefore, provide the required information to reap the bene�tsmade from these structures to minimize the scour hole dimensions. This paper providesthe results of 67 experiments downstream of some stepped spillways subjected to di�erentFroude numbers, basin lengths, tail-water depths, sediment sizes, and two di�erent slopedspillways. The experiments were continued for 6, 8, 12, and 24 hours from which 824pro�les and 85000 data points were recorded and analyzed. The results show that, incertain circumstances, the dimensions of scour hole increase in accordance with particleFroude number. It was also observed that an increase in the slope of spillway would resultin reduction in the geometries of scour hole. Under certain conditions, as the tail-waterincreases, the depth of scour hole increases and elongates the hole. The relations of durationof scour evolution downstream of stepped spillway are presented in this paper. Finally, itwas observed that the stepped spillway would considerably decrease the dimensions of scourhole compared with ogee spillways, re ecting the excess energy downstream loss of steppedspillway.© 2018 Sharif University of Technology. All rights reserved.

1. Introduction

Local scour develops downstream of hydraulic struc-tures due to insu�cient energy loss and formation ofeddy currents encountered with the ow coming outof such structures [1-5]. Stepped spillways, whichhave recently attracted design engineer's attention,are one of the most e�ective structures in reducingthe excess energy of ow, which would result in thereduction of local scour dimensions compared with

*. Corresponding author. Tel.: +98 2632241119E-mail addresses: Younes [email protected] (Y.Aminpour); [email protected] (J. Farhoudi);H Kh [email protected] (H. Khalili Shayan);[email protected] (R. Roshan)

doi: 10.24200/sci.2017.4187

ordinary spillways. Most of past studies on local scourwere concentrated on downstream of chutes, Ogeespillways, and culverts. Few studies have focused onthis downstream phenomenon of stepped spillways.Due to interesting features of stepped spillways inreduction of in ow energy and, consequently, in localscour dimensions, it would be important to study theevolution of local scour downstream of such structures.

Stepped spillways would dissipate the excess en-ergy of water owing over the spillway by means ofsteps. As a result, hydraulic jump downstream of thesespillways would consist of less energy than that formeddownstream of other spillways. Therefore, it is an-ticipated that the outgoing ow from these structureswould be less capable of eroding the sediments fromtheir immediate downstream.

In 1967, Breusers [6] experimentally studied the

Page 2: Characteristics and time scale of local scour downstream ...scientiairanica.sharif.edu/article_4187_21ad35685bf272fd7adc500414b... · ordinary spillways. Most of past studies on local

Y. Aminpour et al./Scientia Iranica, Transactions A: Civil Engineering 25 (2018) 532{542 533

Table 1. De�nition of experimental parameters.

ParametersRange of parameters

Model I Model II

Flow discharge, Q (lit/s) 7.4-29.9 31.5-89

Sediment size, D50 (mm) 0.58, 1.11, 1.78 1.11, 1.78

Height of steps of spillway, hs (cm) 3 4

Width of steps of spillway, ls (cm) 5 10

Length of stilling basin, LB (cm) 10, 37, 55, 74, 110 120

Height of stepped spillway, Hd (cm) 45 60

Width of the ume, B (cm) 41 90

Depth of tail-water, ytw (cm) 8-18.4 11.6-21.7

Number of experiments 55 12

time evolution of local scour downstream of hydraulicstructures and proposed a power equation to estimatethe time scale for the phenomenon as follows:

ymax

d0=�tt0

��; (1)

where ymax is maximum depth of scour hole at timet, d0 is the depth of scour hole at a certain time of t0,and � is a parameter dependent on the type of structureand ow conditions. In 1985, Farhoudi and Smith [7]widely studied local scour evolution downstream ofan ogee spillway and reported an equation similarto that of Breusers [6] for time scale of scour holewhere � was estimated equal to 0.19. Ali and Lim [8]reported the e�ect of tail-water depth on dimensionsof scour hole and suggested a limit for tail-water deptha�ecting the maximum scour depth. Lim [9] studiedthe e�ect of canal width on the evolution of localscour downstream of sluice gate, and found that if theratio of canal width to the opening of gate is largerthan 10, the variation of canal width would have noin uence on the dimensions of scour hole. Balachandaret al. [10] considered the in uence of particle sizeson the dynamics of local scour pro�les downstream ofsluice gate. Tuna and Emiroglu [11,12] investigatedscour pro�les downstream of stepped spillways for threetypes of di�erent ow regimes. Results showed that thetype of ow regime formed on stepped spillway has veryimportant e�ect on maximum scour depth, such that,in a nappe ow regime, the maximum scour depth wasless than that of skimming ow regime. Emiroglu andTuna [13] investigated the e�ects of tail water depthon local scour downstream of stepped spillways. Theyconcluded that scour hole dimensions will increase withan increase in tail water depth.

This paper highlights the result of an experi-mental study on local scour downstream of a steppedspillway in which the in uences of various parameters,such as ow conditions, spillway geometries, time

length, and energy downstream loss of the structure,were considered.

2. Experimental layouts and procedures

The experiments were conducted using two sepa-rate umes where three di�erent sizes of sand weresubjected to di�erent ow conditions downstream ofstepped spillways with di�erent layouts, whose dimen-sions are described in Table 1. The characteristicsof experimental layouts are presented in Figure 1(a).The schematic sketch of the experimental layout isshown in Figure 1(b), where a stepped spillway wasoperated with a stilling pool of varying lengths. Thesize distribution of the used sediments is shown inFigure 2. The incoming ow was measured by means ofeither a magnetic ow meter or a pre-calibrated sharpcrested rectangular weir. The water level was recordedby means of a point gage with accuracy of �0:1 mm.The dimensions of scour hole were recorded using aprecise leveled digital camera. The recorded pictures,like Figure 3, were then retrieved to take advantage ofGrapher7 from which the pro�les of scour hole wererecorded.

3. Analysis of experimental data

3.1. Parameters in uencing local scourdownstream of stepped spillway

To analyze the experimental data, it is of utmostimportance to identify and de�ne the e�ective param-eters of the phenomenon, which can be summarized asfollows:

F (Scour) = f(ym; xm; xs)! f(ym; xm; xs)

= f(�; �;D50; �s; �g; Cu; �; FS; hs; ls;

LB ;Hd; q; ytw; g; t); (2)

where ym and xs are maximum depth and length of

Page 3: Characteristics and time scale of local scour downstream ...scientiairanica.sharif.edu/article_4187_21ad35685bf272fd7adc500414b... · ordinary spillways. Most of past studies on local

534 Y. Aminpour et al./Scientia Iranica, Transactions A: Civil Engineering 25 (2018) 532{542

Figure 1. Experimental layout and e�ective parameters.

Figure 2. Size distribution of used sediments.

scour hole, respectively, xm is the longitudinal positionof maximum depth from stilling basin, � and � are massdensity and dynamic viscosity of water, respectively,D50 is the size of sediment in which 50 percent ofsediments are �ner than �s which is mass densityof sediments, �g is geometric standard deviation ofsediments, Cu is uniformity coe�cient of sediments, �is angle of repose, FS is shape factor of sediments, hsand ls are the height and length of steps, respectively,LB is the length of stilling basin, Hd is the height of

spillway, q is the discharge intensity, ytw is tail-waterdepth, g is acceleration due to gravity, and t is the time.

Since the selected sediments were assumed to begranular and also had a uniform distribution, Cu, �gand FS could be relaxed. On the other hand, the angleof repose could be assumed constant as 35 degrees.Furthermore, the number of steps on the spillwaywas �xed to 15; therefore, the e�ect of hs could becompensated by using Hd. Consequently, Eq. (2) couldbe summarized as follows:

F (�; �; �s; D50; hs; ls; LB ; q; ytw; g; t; ym; xm; xs)=0:(3)

Taking bene�ts of Buckingham theorem, Eq. (3) couldbe written in a non-dimensional form as follows:

f�hsls;LBD50

;ytwD50

;tt0;Re;FrD;

ymD50

;xmD50

;xsD50

�=0:

(4)

Since during the experiments Re > 4000, the e�ectof Reynolds number could be overlooked. It should beclari�ed that t0 = h2

spg(Ss�1)D3

50and FrD = qp

g(Ss�1)D350

(particle Froude number) were de�ned where Ss = �s� .

Taking a note of these clari�cations, Eq. (4), thereafter,will be the base of data analysis.

Page 4: Characteristics and time scale of local scour downstream ...scientiairanica.sharif.edu/article_4187_21ad35685bf272fd7adc500414b... · ordinary spillways. Most of past studies on local

Y. Aminpour et al./Scientia Iranica, Transactions A: Civil Engineering 25 (2018) 532{542 535

Figure 3. Sample pictures and retrieved scour hole pro�les.

Figure 4. The e�ect of sediment size on the dimensions of scour hole.

3.2. The in uence of various parameters ondimensions of scour hole

3.2.1. E�ects of sediment sizeFigure 4 shows the e�ect of sediment sizes on thegeometries of scour hole. It is clear from the �gurethat the dimensions of scour hole show an adversetrend with sediment sizes. This is because of directproportionality of shear stress with sediment size.Therefore, it is expected that the scour hole achievesmaller dimensions with larger sediments.

3.2.2. E�ects of the length of stilling basinFigure 5 depicts the e�ects of the length of stillingbasin on the geometries of scour hole. It was ob-

served that an increase in the length of the stillingbasin would inversely a�ect the dimensions of scourhole. This could be related to the higher energylosses inside the longer stilling basins. It means thatas the stilling basin becomes longer, the amount ofenergy transported to downstream of structure de-creases, which leaves less potential to erode the bedmaterials.

3.2.3. The in uence of sediment Froude number ondimensions of scour hole

Figure 6 shows the impacts of Froude number onthe geometries of scour hole downstream of steppedspillways. It was observed that FrD directly af-

Page 5: Characteristics and time scale of local scour downstream ...scientiairanica.sharif.edu/article_4187_21ad35685bf272fd7adc500414b... · ordinary spillways. Most of past studies on local

536 Y. Aminpour et al./Scientia Iranica, Transactions A: Civil Engineering 25 (2018) 532{542

Figure 5. Impacts created by the length of stilling basins on the dimensions of scour hole.

Figure 6. In uence of Froude number on dimensions of scour hole.

fects the dimensions of scour hole. This is be-cause of inherent in uence of ow discharge embed-ded in FrD, which a�ects the energy loss in still-ing basin as well as the shear stress acting on thebed.

3.2.4. The in uence of spillway slope on dimensionsof scour hole

The in uences of spillway slope on dimensions of scourhole are depicted in Figure 7, showing that as the slopeincreases (higher spillway), the geometries of scour

Page 6: Characteristics and time scale of local scour downstream ...scientiairanica.sharif.edu/article_4187_21ad35685bf272fd7adc500414b... · ordinary spillways. Most of past studies on local

Y. Aminpour et al./Scientia Iranica, Transactions A: Civil Engineering 25 (2018) 532{542 537

Figure 7. In uence of steps slope on dimensions of scour hole.

Figure 8. In uence of tail-water depth on the dimensions of scour hole.

hole at its maximum stage decrease. This could beattributed to larger energy losses with higher spillwaysas reported by Chanson [14]. Figure 7 shows the e�ectof steps slope on scour geometry and, consequently, thee�ect of spillway slope.

3.2.5. In uence of tail-water depth on the dimensionsof scour hole

The experimental observations recorded from the ef-fects of tail-water depth variation scour hole character-

istics are demonstrated in Figure 8, showing an indirectrole in the development of scour hole dimensions. Thiswould be related to the decrease in ow velocity withdeeper tail-water, resulting in lower energy availablefor eroding the ow bed.

3.3. Time Scale of scour hole downstream ofstepped spillway

As previously mentioned, Breusers [6] expressed thetime scale of scour evolution by an exponential equa-

Page 7: Characteristics and time scale of local scour downstream ...scientiairanica.sharif.edu/article_4187_21ad35685bf272fd7adc500414b... · ordinary spillways. Most of past studies on local

538 Y. Aminpour et al./Scientia Iranica, Transactions A: Civil Engineering 25 (2018) 532{542

Figure 9. Changes of scour hole and the volume of sediment transported by time.

tion, later addressed by many researchers. His pro-posed equation was employed for scour developmentdownstream of stepped spillways with stilling basin andrevised according to experimental results. Figure 9 de-picts the ultimate maximum scour depth (ym), distancefrom maximum scour depth to the end of stilling basin(xm), length of scour hole (xs), and transported sedi-ment volume from the hole (V ) with time. Accordingto the �gures, the upstream section of scour hole willreach its equilibrium stage sooner than the downstreamsection of hole. Due to the experimental restrictions,the time interval for equilibrium was selected as 24hours. However, some longer periods would be requiredfor the satisfaction of relative equilibrium state. Inequilibrium stage, the position of maximum depth ofscour hole almost stands stable. However, due toinverse eddies action, the sediment moves towards theupstream face of the hole, changing the con�gurationof scour hole. Accordingly, the dynamic equilibriumof bed cannot be reached even in longer time intervals.

Balachandar et al. [10] referred to this fact according totheir experiments at 96 hours. Therefore, it would bewise to use the term \semi-equilibrium stage" insteadof \equilibrium stage".

In order to investigate the possibility of simi-larity between maximum scour geometry and time,Breusers [6] proposed the following equation:

ymax

d0= k

�tT

��; (5)

where ymax is the maximum depth of scour hole aftertime t, T is the time when water depth reaches d0,which is a length parameter related to the structuredimension referred to as characteristic depth, k and� were calculated according to experimental results.Figure 10(a) shows the variation of ymax

d0with time ratio

tT which would facilitate to determine k and � valuesfor experimental data. In this research, characteristicdepth, d0, is considered twice the steps height (d0 =

Figure 10. (a) Determining factor k and � based on laboratory data. (b) Evaluating the accuracy of Eq. (5).

Page 8: Characteristics and time scale of local scour downstream ...scientiairanica.sharif.edu/article_4187_21ad35685bf272fd7adc500414b... · ordinary spillways. Most of past studies on local

Y. Aminpour et al./Scientia Iranica, Transactions A: Civil Engineering 25 (2018) 532{542 539

Table 2. A comparison between k and � values for di�erent hydraulic structures reported by previous researchers.

Structural type Researcher k �

River entries without hydraulic jump formation Breuser (1967) [6] 1.00 0.38

Ogee spillway without end sill Farhoudi and Smith (1982) [16] 1.00 0.19

Ogee spillway with the end sill Oliveto and et al (2011) [17] 0.92 0.20

Ogee spillway Dargahi (2003) [18] 1.00 � = �0:17 ln�h0hd

�+ 0:04

Sluice gate with horizontal stilling basin Farhoudi and Shayan (2014) [19] 0.99 0.32

Stepped spillway Present work 0.94 0.196

Table 3. Range of e�ective parameters in Farhoudi and Smith (1980) [15].

Spillwayheight(cm)

Dischargerange(lit/s)

Length ofstilling basin

(cm)

Sediment particlesize distribution

(mm)

Pro�le ofogee spillway

Small (10) 8.3-25 41.5Sand (0.15, 0.25, 0.52, 0.85)

Bakelite (0.25, 0.52)y = �0:1806x1:872Medium (20) 23.3-70 83

Large (40) 66-198 166

2hs). In each experiment, T values were interpolatedbetween maximum depths of scour with time when amagnitude of 2hs is reached. The values of k and �were determined as 0.9394 and 0.196, respectively, fromFigure 10. The following equation was used to calculateT values:

Tt0

=2258:62�

lsD50

��2:0955� hsD50

�2:796

�LBD50

�3:931

(FrD)�5:0532: (6)

Figure 10(b) was also used to evaluate the accuracy ofEq. (5). Table 2 shows k and � values downstreamof various hydraulic structures obtained by variousresearchers. It is observed that after a while, scourdepth downstream of stepped spillways is less thanthat of ogee spillways and gate valves. In otherwords, because of further energy dissipation throughstepped spillways, the time needed for achieving specialscour depth is much longer than ordinary spillways.A reduction in k and � values is expected as the ow characteristics tend towards the nappe ow condi-tion.

3.4. Role of stepped spillways in reducing thescour hole geometries compared with ogeespillways

One of the advantages of stepped spillways comparedwith ogee spillways is its high-energy dissipation, whichwould end with smaller dimensions of scour hole down-stream of these structures. To clarify this prediction,Farhoudi's data [15] for scour evolution downstream ofogee spillways were used. The study was conducted on

three ogee spillways with di�erent heights. Table 3shows the structure details and ranges of di�erentparameters in brief.

These researchers studied the process of scourdevelopment and counter e�ects of hydraulic jumpunder high, low, and balanced tail-water depths. Inorder to compare the e�ects of stepped spillways withogee spillways on the development of scour hole, 20series of Farhoudi's data [15] from experiments underbalanced tail water were selected. For each series ofexperiments, maximum scour hole depth (ym), distanceof maximum scour hole depth from end of stilling basin(xm), and scour hole length (xs) were determined forequilibrium conditions. The relationship between par-ticle Froude number and relative scour hole dimensionswas then calculated, depicted in Figure 11 for bothstructures. Figure 11 shows that, in a certain owcondition and speci�c range of particle Froude number,the relative depth of scour ( ymD50

) in stepped spillwayis less than that of ogee spillway. This observationexplains that with the higher energy dissipation causedby stepped spillway, the scour hole dimensions willbe considerably less than those observed with ogeespillways.

Chanson [14] proposed the following relationshipfor calculating energy dissipation by stepped spillwayin nappe ow condition:

�HHmax

=1�0BB@�

fe8 sin �

�( 13 )

cos � + 12

�fe

8 sin �

�(�23 )

32 + Hdam

yc

1CCA ;(7)

where �H is the value of energy dissipation by stepped

Page 9: Characteristics and time scale of local scour downstream ...scientiairanica.sharif.edu/article_4187_21ad35685bf272fd7adc500414b... · ordinary spillways. Most of past studies on local

540 Y. Aminpour et al./Scientia Iranica, Transactions A: Civil Engineering 25 (2018) 532{542

Figure 11. The relationship between particle Froude number and relative scour hole dimensions for ogee spillway .

Figure 12. (a) The relationship between the rates of relative energy dissipation with critical depth. (b) The relationshipbetween the rates of relative energy dissipation with Spillway height.

spillway. In addition, Hdam is the spillway height,Hmax is the total energy height upstream of spillway,which can be calculated from Hmax = Hdam + y0,(y0 is water head on spillway crest), fe is the frictionfactor for water-air ows which is 0.2 for steppedspillway and 0.03 for ogee spillway, respectively, � isthe angle of spillway slope, and yc is the critical depthof ow. The relative energy loss for experimental datawas calculated using Chanson equation and plotted inFigure 12. It could be observed from Figure 12(a)that, in a spillway of a speci�c height, an increase in ow discharge would signi�cantly reduce the energyloss. On the other hand, Figure 12(b) shows that,under speci�c discharge, as the height of spillwayincreases, the energy dissipation decreases, con�rmingthe achievement of Chanson [14]. It could be concludedthat the existence of steps in stepped spillways willcause higher energy loss of 42.06 to 74.82 comparedwith ogee spillways.

In Figure 13, the relationship between relativeenergy loss of stepped spillway, scour hole geometryand volume of transported sediments of size D50 =1:11 mm to downstream of a stilling basin of 110 cmlength is shown. According to this �gure, as the energyloss by stepped spillway decreases, the dimensionsof scour hole as well as the volume of transportedsediments out of the hole signi�cantly increase.

4. Conclusion

From wide ranges of experiments downstream of somestepped spillways subjected to di�erent Froude num-bers, basin lengths, tail-water depths, sediment sizes,and di�erent sloped spillways, the following remarkscould be concluded. With certain length of stillingbasin, relative tail water and particle Froude number,the scour hole geometry will decrease with sedimentsize. On the other hand, with �xed sediment sizes,slope of stepped spillway, relative tail water andparticles Froude number, the geometry of scour holewill decrease as the length of stilling basin increases.An increase in particles Froude number with constantvalues of other parameters would tend to an increasein the dimensions of scour hole. As the slope ofstepped spillway increases, the geometries of scour holedecrease. Under constant conditions, an increase intail-water depth would end with deeper scour holehaving a longer longitudinal length. An exponentialequation would predict the time scale of scour evolutiondownstream of stepped spillway.

It was concluded that the energy dissipation ofstepped spillways under speci�c condition is higherthan that of ogee spillways. This would result insmaller dimensions of scour hole and longer timerequired to reach the semi-equilibrium stage, i.e. down-

Page 10: Characteristics and time scale of local scour downstream ...scientiairanica.sharif.edu/article_4187_21ad35685bf272fd7adc500414b... · ordinary spillways. Most of past studies on local

Y. Aminpour et al./Scientia Iranica, Transactions A: Civil Engineering 25 (2018) 532{542 541

Figure 13. The relationship between the relative energy dissipation by stepped spillway and dimensions of scour hole.

stream of these structures compared with that of ogeespillways being the same.

Nomenclature

B Width of the ume (cm)Cu Uniformity coe�cient of sedimentsD50 Sediment size (cm)FrD Particle Froude numberFS Shape factor of sedimentsHd Height of stepped spillway (cm)Hmax Total energy height upstream of

spillwayL Length of stilling basin (cm)Q Flow discharge (lit/s)T Time required the scour depth reaches

d0

V Volume of transmitted Sediments fromhole

fe Friction factorym Maximum depth of scour hole (cm)xm Position of maximum depth from

stilling basin (cm)xs Maximum length of scour hole (cm)

q Discharge intensity�

lit/sm

�ymax Maximum depth of scour hole at time td0 Depth of scour hole at a certain time

t0

y0 Water head on spillway cresth Height of steps of spillway (cm)

g Acceleration due to gravity (m/s2)t Timeytw Depth of tail-water (cm)� A parameter depending on the type of

structure and ow conditionsl Width of steps of spillway (cm)yc Critical depth of ow�g Geometric standard deviation of

sediments� Angle of Spillway slope�H Height of energy dissipation by stepped

spillway� Mass density of water (kg/m3)

�s Mass density of sediments (kg/m3)� Angle of repose

� Dynamic viscosity of water�N�s

m2

�References

1. Ahmad, N., Mohamed, T., Ali, F., and Yusuf, B.\Clear-water local scour at wide piers in shallow-water ow", Water Practice & Technology, 9, pp. 331-343(2014).

2. Ghodsian, M., Mehraein, M., and Ranjbar, H. \Localscour due to free fall jets in non-uniform sediment",Scientia Iranica, 19, pp. 1437-1444 (2012).

Page 11: Characteristics and time scale of local scour downstream ...scientiairanica.sharif.edu/article_4187_21ad35685bf272fd7adc500414b... · ordinary spillways. Most of past studies on local

542 Y. Aminpour et al./Scientia Iranica, Transactions A: Civil Engineering 25 (2018) 532{542

3. Najafzadeh, M. and Barani, G.-A. \Comparison ofgroup method of data handling based genetic program-ming and back propagation systems to predict scourdepth around bridge piers", Scientia Iranica, 18, pp.1207-1213 (2011).

4. Najafzadeh, M., Barani, G.-A., and Hessami-Kermani,M.-R. \Group method of data handling to predictscour depth around vertical piles under regular waves",Scientia Iranica, 20, pp. 406-413 (2013).

5. Shayan, H.K., and Farhoudi, J. \Local scour pro�lesdownstream of adverse stilling basins", Scientia Iran-ica, Transactions A, Civil Engineering, 22, pp. 1-14(2015).

6. Breusers, H.N.C. \Time scale of two-dimensional localscour", Proc. 12th IAHR Congress, Fort Collins, pp.275-282 (1967).

7. Farhoudi, J. and Smith, K.V.H. \Local scour pro�lesdownstream of hydraulic jump", Journal of HydraulicResearch, 23(4), pp. 343-358 (1985).

8. Ali, K. and Lim, S. \Local scour caused by submergedwall jets", Proceedings of the Institution of Civil Engi-neers, 81, pp. 607-645 (1986).

9. Lim, S.-Y. \Scour below unsubmerged full- owingculvert outlets", Proceedings of the Institution of CivilEngineers, Water Maritime and Energy, 112, pp. 136-149 (1995).

10. Balachandar, R., Kells, J.A., and Thiessen, R.J. \Thee�ect of tail water depth on the dynamics of localscour", Canadian J. Civil Engineering, 27(1), pp. 138-150 (2000).

11. Tuna, M. and Emiroglu, M. \Scour pro�les at down-stream of cascades", Scientia Iranica, 18, pp. 338-347(2011).

12. Emiroglu, M.E. and Tuna, M.C. \The e�ect of tailwa-ter depth on the local scour downstream of stepped-chutes", KSCE Journal of Civil Engineering, 15, pp.907-915 (2011).

13. Tuna, M. \E�ect of o�take channel base angle ofstepped spillway on scour hole", Iranian Journal ofScience and Technology. Transactions of Civil Engi-neering, 36, pp. 239-251 (2012).

14. Chanson, H., Hydraulics of Stepped Chutes and Spill-ways, A.A. Balkema Publishers, Lisse, 384 pages, ISBN90-5809-352-2 (2002).

15. Farhoudi, J. \Scaling Relationship for Local ScourDownstream of Stilling Basin", University ofSouthampton, Degree of Doctor of Philosophy (1980).

16. Farhoudi, J. and Smith, K.V. \Time scale for scourdownstream of hydraulic jump", Journal of the Hy-draulics Division, 108, pp. 1147-1162 (1982).

17. Oliveto, G., Comuniello, V., and Bulbule, T. \Time-dependent local scour downstream of positive-stepstilling basins", Journal of Hydraulic Research, 49, pp.105-112 (2011).

18. Dargahi, B. \Scour development downstream of aspillway", Journal of hydraulic research, 41, pp. 417-426 (2003).

19. Farhoudi, J. and Shayan, H.K. \Investigation on localscour downstream of adverse stilling basins", AinShams Engineering Journal, 5, pp. 361-375 (2014).

Biographies

Younes Aminpour received his BS degree in WaterEngineering from Urmia University in 2012. He wasaccepted to study for an MEng Degree in HydraulicStructures at University of Tehran. He is currently aPhD student at the Faculty of Agriculture Engineeringand Technology at the University of Tehran. Hisresearch interests include: sediment scour in hydraulicstructures, energy dissipation, stilling basin, sedimenttransport and investigation of hydraulic behavior ofirrigation structures.

Javad Farhoudi received his PhD degree in HydraulicStructures from Southampton University, UK in 1979,and he is currently a Distinguished Professor of Hy-draulic Structures and River Engineering at the De-partment of Irrigation and Reclamation Engineering,Faculty of Agricultural Engineering and Technology(UTCAN) at the University of Tehran, Iran. Hehas served higher education in the �eld of Irrigationand Hydraulic Engineering since 1974, and workedon the design of hydraulic structures in Iran. Dr.Farhoudi has also served in several committees andcommissions in the �eld of water resources engineering,such as ICOLD, ICID, IHP, and the Iranian Academyof Sciences, and has published numerous papers inrefereed national and international journals and con-ferences in these areas of expertise. His researchinterests include scouring and pressure uctuationencountered in stilling basins, as well as measuringstructures.

Hossein Khalili Shayan received a BS degree inWater Engineering from Urmia University, Iran in 2009and an MS degree from the University of Tehran,Iran in 2012. His research interests include openchannel hydraulics, investigation of hydraulic behaviorof irrigation structures, local scour at the downstreamof hydraulic structures and seepage phenomena underdiversion dams.

Reza Roshan received a BS degree in IrrigationEngineering in 1991 from Tehran University. Hereceived his MS degree in Irrigation Structures in 1995on the subject of vortex phenomenon; now, he is aPhD candidate from Razi University. His researchinterests include Hydraulic modeling studies and designof hydraulic structures. As a senior member of IranianHydraulic Association, he has published more than30 papers in national and international journals andconferences.