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    Time-Space Fractional Governing Equations of Unsteady Open Channel Flow 

    Source: Journal of Hydrologic Engineering:;2017:;Volume ( 022 ):;issue: 002
    Author(s): M. L. Kavvas; A. Ercan
    Publisher: American Society of Civil Engineers
    Abstract: In this study, the complete governing equations for unsteady open channel flow in fractional time-space are developed from the fractional continuity equation combined with the fractional motion equation, which is based on ...
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    Closure to “Time-Space Fractional Governing Equations of Unsteady Open Channel Flow” by M. L. Kavvas and A. Ercan 

    Source: Journal of Hydrologic Engineering:;2017:;Volume ( 022 ):;issue: 009
    Author(s): M. L. Kavvas; A. Ercan
    Publisher: American Society of Civil Engineers
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    Modeling Noncohesive Suspended Sediment Transport in Stream Channels Using an Ensemble-Averaged Conservation Equation 

    Source: Journal of Hydraulic Engineering:;2005:;Volume ( 131 ):;issue: 005
    Author(s): S. Sharma; M. L. Kavvas
    Publisher: American Society of Civil Engineers
    Abstract: The governing conservation equation for the transport of noncohesive suspended sediment in erodible channels is recognized as a stochastic partial differential equation due to the uncertainties in the parameters, and a ...
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    Conservation Equations for Ground-Water Velocity in General Conditions 

    Source: Journal of Hydrologic Engineering:;2000:;Volume ( 005 ):;issue: 002
    Author(s): A. Karakas; M. L. Kavvas
    Publisher: American Society of Civil Engineers
    Abstract: The conservation equation for the random ground-water flow seepage velocity is derived under general conditions of hydraulic stochastic functions (hydraulic conductivity, storativity, and porosity). The methodology is ...
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    Scale Invariance and Self-Similarity in Hydrologic Processes in Space and Time 

    Source: Journal of Hydrologic Engineering:;2011:;Volume ( 016 ):;issue: 001
    Author(s): I. Haltas; M. L. Kavvas
    Publisher: American Society of Civil Engineers
    Abstract: There is a strong analogy between fractal geometries and scale invariant processes. Fractal geometries are self-similar at different scales. Similar to fractal geometries, solutions of scale invariant processes at different ...
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    Modeling the Kinematic Wave Parameters with Regression Methods 

    Source: Journal of Hydrologic Engineering:;2009:;Volume ( 014 ):;issue: 010
    Author(s): I. Haltas; M. L. Kavvas
    Publisher: American Society of Civil Engineers
    Abstract: The momentum equation in the kinematic wave model is a power law equation and involves two kinematic wave parameters. It is a common practice to use Manning’s equation to calculate the kinematic wave parameters. One can ...
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    Ensemble Modeling of Hydrologic and Hydraulic Processes at One Shot: Application to Kinematic Open-Channel Flow under Uncertain Channel Properties and Uncertain Lateral Flow Conditions by the Stochastic Method of Characteristics 

    Source: Journal of Hydrologic Engineering:;2012:;Volume ( 017 ):;issue: 003
    Author(s): A. Ercan; M. L. Kavvas
    Publisher: American Society of Civil Engineers
    Abstract: A stochastic kinematic wave model for open channel flow is developed under uncertain channel properties and uncertain lateral flow conditions. Applying a known methodology, the Fokker-Planck equation (FPE) of the kinematic ...
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    Ensemble Modeling of Hydrologic and Hydraulic Processes at One Shot: Application to Kinematic Open-Channel Flow under Uncertain Channel Properties by the Stochastic Method of Characteristics 

    Source: Journal of Hydrologic Engineering:;2012:;Volume ( 017 ):;issue: 001
    Author(s): A. Ercan; M. L. Kavvas
    Publisher: American Society of Civil Engineers
    Abstract: A stochastic kinematic wave model for open-channel flow under uncertain channel properties is developed. The Fokker-Planck equation (FPE) of the kinematic open-channel flow process under uncertain channel properties is ...
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    Ensemble-Averaged Flow Routing in Channel Networks: Kinematic Wave Equation 

    Source: Journal of Hydrologic Engineering:;2009:;Volume ( 014 ):;issue: 007
    Author(s): I. Haltas; M. L. Kavvas
    Publisher: American Society of Civil Engineers
    Abstract: A new ensemble-averaged kinematic wave equation is derived for the flow routing problem in channel networks. This derivation is performed by ensemble averaging the second-order Taylor series expansion of the point scale ...
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    Fractional Governing Equations of Diffusion Wave and Kinematic Wave Open-Channel Flow in Fractional Time-Space. I. Development of the Equations 

    Source: Journal of Hydrologic Engineering:;2015:;Volume ( 020 ):;issue: 009
    Author(s): M. L. Kavvas; A. Ercan
    Publisher: American Society of Civil Engineers
    Abstract: In this study the fractional governing equations for diffusion wave and kinematic wave approximations to unsteady open-channel flow in prismatic channels in fractional time-space were developed. The governing fractional ...
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