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Time-Space Fractional Governing Equations of Unsteady Open Channel Flow
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 ...
Closure to “Time-Space Fractional Governing Equations of Unsteady Open Channel Flow” by M. L. Kavvas and A. Ercan
Publisher: American Society of Civil Engineers
Modeling Noncohesive Suspended Sediment Transport in Stream Channels Using an Ensemble-Averaged Conservation Equation
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 ...
Conservation Equations for Ground-Water Velocity in General Conditions
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 ...
Scale Invariance and Self-Similarity in Hydrologic Processes in Space and Time
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 ...
Modeling the Kinematic Wave Parameters with Regression Methods
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 ...
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
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 ...
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
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 ...
Ensemble-Averaged Flow Routing in Channel Networks: Kinematic Wave Equation
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 ...
Fractional Governing Equations of Diffusion Wave and Kinematic Wave Open-Channel Flow in Fractional Time-Space. I. Development of the Equations
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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