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    Approximate Analytical Solutions for the Colebrook Equation 

    Source: Journal of Hydraulic Engineering:;2018:;Volume ( 144 ):;issue: 005
    Author(s): Vatankhah Ali R.
    Publisher: American Society of Civil Engineers
    Abstract: Friction factor determination is important for modeling fluid flows in pipes. The Colebrook equation has been widely used for estimating the pipe friction factor in fully developed turbulent regime. Because of the implicit ...
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    Discussion of “Approximation for the Theis Well Function Using Ramanujan’s Series and Bounds for the Exponential Integral” 

    Source: Journal of Hydrologic Engineering:;2025:;Volume ( 030 ):;issue: 002:;page 07024006-1
    Author(s): Vatankhah, Ali R.
    Publisher: American Society of Civil Engineers
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    Predicting Discharge Coefficient of Triangular Side Orifice under Free Flow Conditions 

    Source: Journal of Irrigation and Drainage Engineering:;2018:;Volume ( 144 ):;issue: 010
    Author(s): Vatankhah Ali R.;Mirnia S. H.
    Publisher: American Society of Civil Engineers
    Abstract: Weirs, orifices, baffle sluice gates, and sluice gates are widely used in irrigation networks for distributing water from the source to irrigated areas. Side orifices are generally placed in the side of a channel for ...
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