Vatankhah, Ali R. (2015 accepted for publication) “Normal Depth in Power-Law Channels” Journal of Hydrologic Engineering (ASCE),
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Vatankhah, Ali R. (2015 accepted for publication). Discussion of “Modified Green-Ampt Infiltration Model for Steady Rainfall” Journal of Hydrologic Engineering (ASCE),
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Vatankhah, Ali R., Velayati, F. and Azimi, M., (2015 accepted for publication). Discussion of “Discharge Characteristics of a Trapezoidal Labyrinth Side Weir with One and Two Cycles in Subcritical Flow” Journal of Irrigation and Drainage Engineering (ASCE),
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Vatankhah, Ali R. (2015 accepted for publication). Discussion of “Assessment of Modified Honey Bee Mating Optimization for Parameter Estimation of Nonlinear Muskingum Models” Journal of Hydrologic Engineering (ASCE),
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Vatankhah, Ali R., (2015 accepted for publication). Discussion of “Diverging Kinematic Wave Flow” Journal of Irrigation and Drainage Engineering (ASCE),
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Vatankhah, Ali R., (2015 accepted for publication). Discussion of “Hydraulic Characteristics of Flow over Sinusoidal Sharp-Crested Weirs” Journal of Irrigation and Drainage Engineering (ASCE),
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Vatankhah, Ali R., and Khalili-Shayan, H. (2015 accepted for publication). Discussion of “Reduction of Flow Separation and Energy Head Losses in Expansions Using a Hump” Journal of Irrigation and Drainage Engineering (ASCE),
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Vatankhah, Ali R. (2015 accepted for publication) “Power-Law Free Overfall in Subcritical Flow Regime ” Ain Shams Engineering Journal,
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Vatankhah, Ali R. (2015 accepted for publication). Discussion of “Inductive Group Method of Data Handling Neural Network Approach to Model Basin Sediment Yield by Vaibhav Garg” Journal of Hydrologic Engineering (ASCE),
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Vatankhah, Ali R. (2015 accepted for publication). Closure to “Evaluation of Explicit Numerical Solution Methods of the Muskingum Model” Journal of Hydrologic Engineering (ASCE),
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Vatankhah, Ali R. (2015 accepted for publication). Discussion of “Parameter Estimation for the Nonlinear Forms of the Muskingum Model” Journal of Hydrologic Engineering (ASCE),
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Vatankhah, Ali R. (2015 accepted for publication). “Critical and Normal Depths in Semi-elliptical Channels” Journal of Irrigation and Drainage Engineering (ASCE),
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Vatankhah, Ali R., Ghafari, S. and Mahdavi-Mazdeh A. (2015 accepted for publication) “New and Improved Hydraulic Radius for Channels of the Second Kind” Ain Shams Engineering Journal,
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Vatankhah, Ali R. (2015 accepted for publication) “Analytical Solution of Gradually Varied Flow Equation in Circular Channels Using Variable Manning Coefficient” Flow Measurement and Instrumentation,
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Vatankhah, Ali R. (2015 accepted for publication). Comment on "Gene expression programming analysis of implicit Colebrook-White equation in turbulent flow friction factor calculation" Journal of Petroleum Science and Engineering,
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Vatankhah, Ali R., Mobadersani, A., Azimi, M., and Velayati, F. (2015 accepted for publication). Discussion of "Novel Approach for Side Weirs in Supercritical Flow" Journal of Irrigation and Drainage Engineering (ASCE),
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Vatankhah, Ali R. (2015 accepted for publication). Discussion of “Discharge Coefficients for Orifices Cut into Round Pipes” Journal of Irrigation and Drainage Engineering (ASCE),
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Vatankhah, Ali R. (2015 accepted for publication). Discussion of "Application of Excel Solver for Parameter Estimation of the Nonlinear Muskingum Models" KSCE Journal of Civil Engineering,
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Vatankhah, Ali R. (2015 accepted for publication). Discussion of “Supercritical Flow Measurement Using a Large Parshall Flume” Journal of Irrigation and Drainage Engineering (ASCE),
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Vatankhah, Ali R. and Peysokhan P. (2015 accepted for publication). Discussion of “Discharge Coefficient Analysis for Triangular Sharp-Crested Weirs Using Low-Speed Photographic Technique” Journal of Irrigation and Drainage Engineering (ASCE),
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Vatankhah, Ali R. (2015 accepted for publication). Discussion of “Calculating Discharge from Culverts under Inlet Control Using Stage at the Inlet” Journal of Irrigation and Drainage Engineering (ASCE),
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Vatankhah, Ali R. (2015 accepted for publication). Discussion of “Stage-Discharge Rating Equation for an Elliptical Sharp-Crested Weir” Journal of Irrigation and Drainage Engineering (ASCE),
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84-Vatankhah, Ali R. (2014) “Semi-regular polygon as the best hydraulic section in practice (Generalized solutions)” Flow Measurement and Instrumentation, 38 (4), 67-71.
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83-Vatankhah, Ali R. (2014). Closure to “Multiple Critical Depth Occurrence in Two-Stage Cross Sections: Effect of Side Slope Change” Journal of Hydrologic Engineering (ASCE), 19(9), 07014002.
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82-Vatankhah, Ali R. (2014) “Evaluation of explicit numerical solution methods of Muskingum model” Journal of Hydrologic Engineering (ASCE), 19(8), 06014001.
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81-Vatankhah, Ali R. and Aghashariatmadari, Z. (2014). Discussion of “Optimal Design of Horizontally Framed Miter Gates” Journal of Waterway, Port, Coastal, and Ocean Engineering. (ASCE), 140(5), 07014001.
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80-Vatankhah, Ali R. (2014) Discussion of "Improved Nonlinear Muskingum Model with Variable Exponent Parameter" Journal of Hydrologic Engineering (ASCE), 19(10), 07014004.
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79-Vatankhah, Ali R. (2014). Discussion of “Hydraulic Design and Analysis of Labyrinth Weirs. I: Discharge Relationships” Journal of Irrigation and Drainage Engineering (ASCE), 140(8), 07014021.
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78-Vatankhah, Ali R. (2014). Discussion of “Experimental Study of the Stage-Discharge Relationship for an Upstream Inclined Grid with Longitudinal Bars” Journal of Irrigation and Drainage Engineering (ASCE), 140(11), 07014027.
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77-Vatankhah, Ali R., Barghi-Khezerloo, A., and Khalili-Shayan, H. (2014). Discussion of "V-Shaped Multislit Weirs" Journal of Irrigation and Drainage Engineering (ASCE), 140(8), 07014023.
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76-Vatankhah, Ali R. and Easa, Said M. (2014) “Direct Solution for Water Surface Profile in Circular Channels” Proceedings of the Institution of Civil Engineers (ICE) Water Management, 167(6), 311-317.
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75-Easa, Said M. and Vatankhah, Ali R. (2014) New open channel with elliptic sides and horizontal bottom. Korean Society of Civil Engineering, 18(4):1197-1204.
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74-Vatankhah, Ali R. (2014) “Full-range solution for Theis well function” Journal of Hydrologic Engineering (ASCE), 19(3), 649-653.
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73-Vatankhah, Ali R. (2014) “Simplified Procedure for Determining of Drop and Stilling Basin Invert Elevations” Ain Shams Engineering Journal,
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72-Vatankhah, Ali R. (2014) Discussion of "Parameter Estimation of the Nonlinear Muskingum Flood-Routing Model Using a Hybrid Harmony Search Algorithm" Journal of Hydrologic Engineering (ASCE), 19(4),839-842.
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71-Vatankhah, Ali R. (2014). Discussion of “Discharge Coefficients for Baffle-Sluice Gates” Journal of Irrigation and Drainage Engineering (ASCE), 140(4), 07014011-1-4.
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70-Vatankhah, Ali R. and Aghashariatmadari, Z. (2013) “Improved explicit approximation of linear dispersion relationship for gravity waves: Comment on another discussion” Coastal Engineering, 81(November 2013), 30-31.
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69-Vatankhah, Ali R. (2013) “Analytical solution for water surface profile along a side weir in a parabolic channel” Flow Measurement and Instrumentation, 32(August 2013): 90-95.
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68-Vatankhah, Ali R., Easa, Said M. and Mahdavi A. (2013) “Alternative Solutions for Horizontal Circular Curves by Non-iterative Methods” Journal of Surveying Engineering (ASCE),139(3), 111-119.
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67-Vatankhah, Ali R. and Easa, Said M. (2013) Improved estimates of kinematic wave parameters for circular channels. Civil Engineering Infrastructures, 1(1): 95 – 106.
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66-Vatankhah, Ali R., and Bijankhan, M., (2013). Discussion of “New Method for Modeling Thin-Walled Orifice Flow under Partially Submerged Conditions” Journal of Irrigation and Drainage Engineering (ASCE), 139(9), 789-793.
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65-Vatankhah, Ali R. and Easa, Said M. (2013) “Accurate Gradually Varied Flow Model for Water Surface Profile in Circular Channels” Ain Shams Engineering Journal, 4(4), 625–632.
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64-Vatankhah, Ali R. and Aghashariatmadari, Z. (2013) “Improved explicit approximation of linear dispersion relationship for gravity waves: A discussion” Coastal Engineering, 78(August 2013), 21-22.
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63-Vatankhah, Ali R. (2013) “Limiting Dimensions for Trapezoidal Channels and Control Notches (Design Aid)” KSCE Journal of Civil Engineering, 17(4):850-857.
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62-Vatankhah, Ali R. and Easa, Said M. (2013) “Depth-independent Kinematic Wave Parameters for Trapezoidal and Power-Law Channels” Ain Shams Engineering Journal, 4(2): 173–183.
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61-Vatankhah, Ali R. Azarbu, L. and Omid, MH (2013) Discussion of “Hydraulic jump in arbitrary prismatic channel” Proceedings of the Institution of Civil Engineers (ICE) Water Management, 166(6), 351–354.
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60-Vatankhah, Ali R. (2013) “Direct Solution for Discharge in Generalized Trapezoidal Free Overfall” Flow Measurement and Instrumentation, 29(1), 61-64.
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59-Vatankhah, Ali R. and Eslahi N. (2013) Discussion of “Experimental Studies on Flow over Labyrinth Weir” Journal of Irrigation and Drainage Engineering (ASCE), 139(12), 1051-1053.
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58-Vatankhah, Ali R. (2013) Discussion of “Groundwater Mound due to Artificial Recharge from Rectangular Areas” Journal of Irrigation and Drainage Engineering (ASCE), 139(9), 785-789.
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57-Vatankhah, Ali R. (2013) Comment on “Quasi-theoretical end-depth-discharge relationship for trapezoidal channels” Journal of Hydrology, 477(16 January), 261-264.
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56-Vatankhah, Ali R. (2013) “Explicit solutions for critical and normal depths in trapezoidal and parabolic open channels” Ain Shams Engineering Journal, 4(1), 17-23.
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55-Vatankhah, Ali R. (2013) “Water surface profiles along a rectangular side weir in a U-shaped channel (analytical findings)” Journal of Hydrologic Engineering (ASCE), 18(5), 595-602.
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54-Vatankhah, Ali R. and Easa, Said M. (2013) Closure to “Simplified Accurate Solution for Design of Erodible Trapezoidal Channels” Journal of Hydrologic Engineering (ASCE), 18(5), 617–618.
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53-Vatankhah, Ali R. (2013) “Multiple-critical depth occurrence in two-stage cross-sections (Effect of side slope change)” Journal of Hydrologic Engineering (ASCE), 18(6), 722-728.
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52- Habibzadeh A, Vatankhah, Ali R., Rajaratnam N. and Loewen M.R. (2012). ‘Discussion of "Energy and Momentum Velocity Coefficients for Calibrating Submerged Sluice Gates in Irrigation Canals" Journal of Irrigation and Drainage Engineering (ASCE), 138(9), 854-855.
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51- Vatankhah, Ali R. (2012) Comment on “Direct Solution for Discharge in Circular Free Overfall.” Journal of Hydrology, 466-467,12 October,185-187.
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50- Vatankhah, Ali R. (2012) “Direct solutions for normal and critical depths in standard city-gate sections” Flow Measurement and Instrumentation, 23(6),16-21.
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49- Vatankhah, Ali R. (2012) “Water Surface Profile over Side Weir in a Trapezoidal Channel” Proceedings of the Institution of Civil Engineers (ICE) Water Management, 165(5): 247 –252.
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48- Vatankhah, Ali R. (2012) “Analytical solution for water surface profile along a side weir in a triangular channel” Flow Measurement and Instrumentation, 23(1): 76-79.
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47- Vatankhah, Ali R., (2012) “A new solution method for water surface profile along a side weir in a circular channel” Journal of Irrigation and Drainage Engineering (ASCE), 138(10), 948-954.
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46- Vatankhah, Ali R. and Mahdavi A. (2012) “Simplified procedure for design of long-throated flumes and weirs” Flow Measurement and Instrumentation,23(4),79-84.
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45- Vatankhah, Ali R., (2012) “Head-discharge equation for Sharp-crested weir with piecewise-linear sides” Journal of Irrigation and Drainage Engineering (ASCE), 138(11), 1011-1018.
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44- Vatankhah, Ali R. (2012) “Determination of drain pipe diameter using spatially varied flow theorem” Proceedings of the Institution of Civil Engineers (ICE) Water Management, 165(1); 31-37.
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43- Vatankhah, Ali R. and Easa, Said M. (2012) “Non-iterative Solution for Positive Surge Waves” Proceedings of the Institution of Civil Engineers (ICE) Water Management, 165(3): 147-152.
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42- Easa, Said M. and Vatankhah, Ali R. (2012) “Direct Solutions for Design of Grass-Lined Channels” Proceedings of the Institution of Civil Engineers (ICE) Water Management, 165(3): 153-159.
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41- Vatankhah, Ali R. (2012) “Direct Integration of Manning-based GVF Equation in Trapezoidal Channels” Journal of Hydrologic Engineering (ASCE), 17(3); 455-462.
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40- Vatankhah, Ali R. (2011) “Analytical solutions for Bingham Plastic Fluids in Laminar Regime” Journal of Petroleum Science and Engineering, 78(3-4): 596–600.
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39- Vatankhah, Ali R. and Valiani A. (2011) “Analytical Inversion of Specific Energy–Depth Relationship in Channels with Parabolic Cross Sections” Hydrological Sciences Journal (HSJ), 56(5), 834–840.
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38- Habibzadeh A., Vatankhah Ali R.; Rajaratnam N., (2011) “Role of energy loss on discharge characteristics of sluice gates” Journal of Hydraulic Engineering, (ASCE), 137(9); 1079-1084.
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37- Easa, Said M., Vatankhah, Ali R. and Abd El Halim A. O. (2011) “A simplified direct method for finding optimal stable trapezoidal channels” International Journal of River Basin Management, (JRBM), 9(2): pp. 85–92.
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36- Vatankhah, Ali R. (2011 ) “Direct Integration of Gradually Varied Flow Equation in Parabolic Channels” Flow Measurement and Instrumentation, 22 (3) pp. 235-241.
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32- Vatankhah, Ali R. and Easa, Said M. (2011) “Simplified Accurate Solution for Design of Erodible Trapezoidal Channels” Journal of Hydrologic Engineering (ASCE), 16(11); 960-965.
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31- Vatankhah, Ali R. (2011) “Influence of Regulators in Controlling Upstream Water Depth” , Journal of Irrigation and Drainage Engineering (ASCE), 137(9); 620-623.
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35- Vatankhah, Ali R. and Easa, Said M. (2011) “Explicit Solutions for Critical and Normal Depths in Channels with Different Shapes” Flow Measurement and Instrumentation. 22(1), 43-49.
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34- Vatankhah, Ali R. and Easa, Said M. (2011) “Direct Integration of Manning-based GVF Equation” Proceedings of the Institution of Civil Engineers (ICE) Water Management,164(5), 257 –264.
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33- Vatankhah, Ali R. (2011) “Approximate Solutions to Complete Elliptic Integrals for Practical Use in Water Engineering” Journal of Hydrologic Engineering (ASCE), 16(11); 942-945.
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30- Vatankhah, Ali R. (2010). Discussion of “Hydraulic jumps in trapezoidal and circular channels” Proceedings of the Institution of Civil Engineers (ICE) Water Management, 163, No. 2, 95-97.
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29- Vatankhah, Ali R., Ebrahimian, H., Bijankhan, M., (2010). Discussion of “Quick Method for Estimating Furrow Infiltration” Journal of Irrigation and Drainage Engineering (ASCE), Vol. 135, No. 1, pp. 788-795.
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28- Vatankhah, Ali R. (2010). Discussion of “improved cross section with two-segment parabolic sides and horizontal bottom” Journal of Irrigation and Drainage Engineering (ASCE), Vol. 136, No. 9, pp. 662-665.
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27- Vatankhah, Ali R. (2010). Discussion of “Applying Particle Swarm Optimization to Parameter Estimation of the Nonlinear Muskingum Model” Journal of Hydrologic Engineering (ASCE), Vol. 15, No. 11, pp. 949–952.
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26- Vatankhah, Ali R., Bijankhan, M., (2010) “Choke-Free Flow in Circular and Ovoidal Channels” Proceedings of the Institution of Civil Engineers (ICE) Water Management Vol. 163(4) pp. 207-215.
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25- Vatankhah, Ali R. (2010) “Choke-Free Flow in Trapezoidal Channels” Proceedings of the Institution of Civil Engineers (ICE) Water Management,163(9), 439-445.
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24- Vatankhah, Ali R. (2010) “Analytical Solution of Specific Energy and Specific Force Equations: Trapezoidal and Triangular Channels” Advances in Water Resources. 33(2), 184-189.
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23- Vatankhah, Ali R. (2010) “Flow measurement using circular sharp-crested weirs” Flow Measurement and Instrumentation. 21(2),118-122. (Top 25 Hottest articles; October 2009 – September 2010 Academic Year).
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22- Vatankhah, Ali R. and Omid M. H. (2010) “Direct Solution to Problems of Hydraulic Jump in Horizontal Triangular Channels” Applied Mathematics Letters. Vol. 23(9),1104-1108.
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21- Vatankhah, Ali R. (2010) “Exact Sensitivity Equation for One-Dimensional Steady-State Shallow Water Flow (Application to model calibration)” Journal of Hydrologic Engineering (ASCE), 15(11), 939–945.
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20- Vatankhah, Ali R. (2010) “Analytical Integration of the Equation of Gradually Varied Flow for Triangular Channels” Flow Measurement and Instrumentation. Vol. 21(4), 546-549.
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19- Vatankhah, Ali R. and Kouchakzadeh, S (2009). Discussion of “Exact Equations for Pipe-flow Problems” by Prabhata K. Swamee, Journal of Hydraulic Reserch (IAHR), Vol. 47, No.4, pp. 537-538.
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18- Vatankhah, Ali R. and Kouchakzadeh, S (2009). Discussion of “Head-Discharge Equation for Sharp-Crested Polynomial Weir” by Raouf E. Baddour, Journal of Irrigation and Drainage (ASCE), Vol. 135, No. 3, pp. 393-395.
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17- Vatankhah, Ali R. and Kouchakzadeh, S (2009). Discussion of “Effect of Channel Shape on Time of Travel and Equilibrium Detention Storage in Channel” by Tommy S. W. Wong, Journal of Hydrologic Engineering (ASCE), Vol. 14, No. 5, pp. 531-532.
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16- Vatankhah, Ali R. and Kouchakzadeh, S (2009). Discussion of “Simplified Design of Hydraulically Efficient Power-Law Channels with Freeboard” by Ahmed S. A. Hussein, Journal of Irrigation and Drainage Engineering (ASCE), Vol. 135, No. 3, pp. 396-397.
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15- Vatankhah, Ali R. (2009). Discussion of “Direct Solution to Problems of Open-Channel Transitions: Rectangular Channels” by Abdulrahman Abdulrahman, Journal of Irrigation and Drainage Engineering (ASCE), Vol. 135, No. 5, pp. 704.
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14- Vatankhah, Ali R. (2009). Discussion of “Most Hydraulically Efficient Standard Lined Canal Sections” by David C. Froehlich, Journal of Irrigation and Drainage Engineering (ASCE), Vol. 135, No. 3, pp. 398-399.
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13- Vatankhah, Ali R. (2009). Comment of “Depth–energy and depth–force relationships in open channel flows II: analytical findings for power-law cross sections” Advances in Water Resources, Vol. 32, No. 6, pp. 963-964.
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12- Vatankhah, Ali R., Bijankhan, M., (2009). Discussion of “Method of solution of nonuniform flow with the presence of rectangular Side Weir” Journal of Irrigation and Drainage Engineering (ASCE), Vol. 135, No. 6, pp. 812-814.
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11- Vatankhah, Ali R. (2009). Discussion of “Application of a nonstandard explicit integration to solve green and ampt infiltration equation” Journal of Hydrologic Engineering (ASCE), Vol. 14, No. 10, pp. 1195.
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10- Vatankhah, AR, Kouchakzadeh, S and Hoorfar, A (2008), “Developing Effective Sensitivity Indicator for Irrigation Network Components” International Journal of Applied Agricultural Research, (IJAAR). Vol. 3(1) pp. 17-36.
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9- Vatankhah, Ali R. , Kouchakzadeh, S and Hoorfar, A (2008), Discussion of “Minimum Specific Energy and Critical Flow Conditions in Open Channels” by H. Chanson, Journal of Irrigation and Drainage Engineering (ASCE), Vol. 134, No. 6 pp. 882-883.
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8- Vatankhah, Ali R. and Kouchakzadeh, S (2008). ‘Discussion of “Turbulent Flow Friction Factor Calculation Using a Mathematically Exact Alternative to the Colebrook–White Equation” by Jagadeesh R. Sonnad and Chetan T. Goudar’ Journal of Hydraulic Engineering, (ASCE), Vol. 134, No. 8 pp. 1187-1187.
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7- Vatankhah, Ali R. and Kouchakzadeh, S (2008), Discussion of “Solution of Specific Energy and Specific Force Equations” by Amlan Das, Journal of Irrigation and Drainage Engineering (ASCE), Vol. 134, No. 6, pp. 880-882.
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6- Vatankhah, Ali R. and Kouchakzadeh, S (2008). ‘Discussion of “Full-Range Pipe-Flow Equations” by Prabhata K. Swamee and Nimisha Swamee’ Journal of Hydraulic Research, (IAHR), Vol. 46, No. 4 , p. 559-559.
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5- Kouchakzadeh, S and Vatankhah, AR (2007), ‘Discussion of “Exact solutions for normal depth problem” by Prabhata K. Swamee and Pushpa N. Rathie’ Journal of Hydraulic research (IAHR) Vol. 45, No. 4 pp. 567-571.
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4- Vatankhah, Ali R. and Kouchakzadeh, S (2007), ‘Discussion of “Exact Equations for Critical Depth in a Trapezoidal Canal” by Prabhata K. Swamee and Pushpa N. Rathie’ Journal of Irrigation and Drainage Engineering (ASCE), Vol. 133, No. 5 pp. 508-508.
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3- Kouchakzadeh, S. and Vatankhah Mohammad Abadi, AR. (2002), “Spatially Varied Flow in Non-Prismatic Channels: I Dynamic Equation” Irrigation and Drainage, (ICID). Vol. 51(1) pp. 41-50.
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2- Kouchakzadeh, S., Kholghi, MK. and Vatankhah Mohammad Abadi, AR. (2002), “Spatially Varied Flow in Non-Prismatic Channels II Numerical Solution and Experimental Verification” Irrigation and Drainage, (ICID). Vol. 51(1) pp. 51-60.
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1- Kouchakzadeh, S., Vatankhah Mohammad Abadi, AR., and Townsend, RD. (2001), “A Modified Perturbation Solution Procedure for Spatially-Varied Flows” Canadian Journal of water resources. Vol. 26, No 3.
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===============================================مقالات چاپ شده در مجلات داخلي==================================
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عمادي، عليرضا، غفاري، سميه و وطن خواه، عليرضا (1391) افزايش دقت رابطه مانينگ در مقاطع دايرهاي نيمه پر با ارايه تعريف جديدي از شعاع هيدروليکي. مجله پژوهش هاي حفاظت آب و خاك (گرگان) جلد 19 شماره 1
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وطنخواه، عليرضا و کوچکزاده، صلاح (1387)، تدوين روابط زمانهاي انتقال و پاسخگويي موج در كانالهاي آبياري بر پايه موج پخشيدگي و کاربرد آنها در برآورد افتهاي بهره برداري. مجله آبياري و زهكشي ايران. جلد 2، شماره 1.
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وطنخواه، عليرضا، کوچکزاده، صلاح و هورفر، عبدالحسين (1386)، حل تحليلي معادله موج پخشيدگي با استفاده از مفهوم حساسيت هيدروليكي معادل براي رونديابي كانالهاي آبياري. مجله آبياري و زهكشي ايران. جلد 1، شماره 2.
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کوچکزاده، صلاح و وطنخواه محمد آبادي، عليرضا (1380)، جريانهاي متغيير مکاني با افزايش بده در مجاري غير منشوري: معادله ديناميک، حل عددي و مقايسه آزمايشکاهي. نشريه دانشکده فني دانشگاه تهران. جلد 35، شماره 3.
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کوچکزاده، صلاح و وطنخواه محمد آبادي، عليرضا (1380)، حل معادله جريان متغير مکاني به روش رياضي آشفتگي و تخمين ضريب تصحيح اندازه حرکت در اين نوع جريان. مجله علوم کشاورزي ايران. جلد 32، شماره 4.
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- وطنخواه محمد آبادي، عليرضا و کوچکزاده، صلاح (1379)، معادله صريح تعيين عمق بحراني در کانالهاي ذوزنقهاي. مجله کشاورزي و عمران روستايي، مجتمع آموزش عالي ابوريحان، دانشگاه تهران، جلد 2، شمارههاي 1 و2.
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وطنخواه محمد آبادي، عليرضا و کوچکزاده، صلاح (1379)، معادله صريح براي تعيين عمق جريان يکنواخت در مقاطع هندسي مختلف. مجله علوم کشاورزي و منابع طبيعي دانشگاه گرگان، جلد 8 شماره 3-
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