engineering

Hydraulics & Pipe Flow Systems

The engineering of fluid transport under pressure and gravity — pipe friction losses via Darcy-Weisbach, energy conservation through Bernoulli's theorem, water hammer transients, open-channel Manning flow, and pump performance curve matching for real piping networks.

hydraulicspipe flowDarcy-WeisbachBernoulli equationwater hammerManning equationpump curvesfluid mechanicscivil engineering

Hydraulics is the branch of fluid mechanics that deals with the practical conveyance of liquids through pipes, channels, and pumping systems. Every municipal water supply, hydroelectric installation, and industrial process line relies on principles first formalised by Bernoulli, Darcy, Weisbach, and Manning. Understanding head loss, pressure transients, and pump-system interaction is essential for safe, efficient infrastructure.

These simulations let you size pipes with the Darcy-Weisbach equation, trace energy lines through a venturi, watch water hammer pressure waves propagate, design open channels with Manning's formula, and overlay pump curves onto system resistance curves — all with interactive, real-time canvas visualizations.

5 interactive simulations

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Bernoulli Equation & Venturi Effect

Simulate Bernoulli's energy equation along a streamline — explore how cross-section changes in a venturi create pressure drops, velocity increases, and flow measurement

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Manning Equation & Open Channel Flow

Simulate open channel flow — explore how channel slope, roughness, cross-section shape, and depth control flow velocity and discharge via Manning's equation

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Darcy-Weisbach Friction & Moody Chart

Simulate pipe friction losses — explore how flow velocity, pipe diameter, roughness, and Reynolds number determine head loss via Darcy-Weisbach and the Moody chart

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Pump Performance & System Curve

Simulate pump-system interaction — explore how pump head, efficiency, system resistance, and static lift determine the operating point and power consumption

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Water Hammer & Joukowsky Equation

Simulate water hammer pressure transients — explore how valve closure time, flow velocity, pipe material, and wave speed generate dangerous pressure surges