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Pipe flow

physical science Maturity 11-13 Next article →

Liquid moves in many ways through our world. One important way is called pipe flow. This happens when a fluid moves inside a closed path. This path could be a pipe, a tube, or a duct. People also call this internal flow. It is different from open channel flow. Open channel flow has a free surface that touches the air. Pipe flow stays inside its closed container.

Instead of touching air, it exerts hydraulic pressure on the pipe walls. This pressure is a key part of how it works.

How a liquid moves depends on many forces. The flow is governed by gravity and viscosity. Viscosity is how thick a liquid is. It also depends on inertial forces. We use a special number called the Reynolds number to understand this. This number helps us see if the flow is smooth or wild.

Smooth flow is called laminar flow. Wild, messy flow is called turbulent flow. The way it moves changes based on these forces.

Scientists use math to study these movements. The Bernoulli equation helps define energy in pipe flow. This energy is often called head. To see how head changes, people use a hydraulic grade line. This is a line on a diagram.

Friction also plays a big role in the movement. Viscous shear forces cause the liquid to lose energy. This is called frictional loss. We use the Darcy-Weisbach formula to calculate these losses. It helps us know how much energy is lost.

There are specific numbers that tell us when flow changes. For a circular pipe, the critical Reynolds number is about 2000. If the number is below 2000, the flow is laminar. If the number is above 2000, the flow can be turbulent.

We can see these different flows on a Moody chart. The shape of the pipe matters too. Rectangular ducts change the critical number. Some special shapes, like a Tesla valve, cause turbulence much sooner. This happens at a much smaller Reynolds number.

You can see these ideas in many places. Storm sewers are a good example of conduits. Most storm sewers use open channel flow with a free surface. However, they can change into pipe flow. This happens when the sewer is at full capacity.

Understanding pipe flow helps us manage water and energy. It connects math to the real world. It shows us how pressure and friction work together. This science is a big part of fluid mechanics.

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