        Introduction to Fluid Mechanics   Overview Picturing Fluids Fluids and Vector Calculus Inviscid Flow and Bernoulli Viscous Flow Boundary Layers Laminar/Turbulent Pipe Flow Pipe Flow Networks Boundary Layers External Flow and Drag Dimensional Analysis/Scaling Compressible Flow   # Pipe Flow Networks   Blank handout  6.1 Static pressure, stagnation pressure, and total pressure (03:27)

The pressure at a point in a fluid is called the 'static pressure'. The 'stagnation pressure' is the pressure that the fluid would obtain if brought to rest without loss of mechanical energy. The difference between the two is the 'dynamic pressure'. The 'total pressure' is the sum of the static pressure, the dynamic pressure, and the gravitational potential energy per unit volume. It is therefore the sum of the mechanical energy per unit volume in a fluid.  6.2 Total pressure loss across a horizontal orifice plate (04:56)

As fluid flows through a pipe network, the mechanical energy per unit volume (the total pressure) reduces due to irreversible processes, such as viscous dissipation. This clip shows how the total pressure drop across an orifice plate is calculated  6.3 Total pressure loss along a pipe (01:24)

This clip shows how the total pressure loss along a pipe is calculated.  6.4 Total pressure loss at a sudden expansion (00:43)

This clip shows how the total pressure loss at a sudden expansion is calculated. (The full derivation, in text form, is at the end of the chapter.)  6.5 The pressure against a wall (01:34)

This clip shows how to deal with a wall along one side of a control volume  6.6 Total pressure loss at a pipe entrance and across general pipe components (00:49)

The total pressure loss across general pipe components is tabulated in books or embedded within pipe network software  6.8 Pumps and turbines (00:56)

Pumps do shaft work on a fluid, while turbines extract shaft work. The power in or out of this process is the total pressure change multiplied by the volumetric flowrate. (This is only valid for uniform density flows; in compressible flows, the internal energy must also be considered and the steady flow energy equation should be used.)  6.10 Network analysis (03:30)

This clip shows how to work out the required mechanical power of a pump in a pipe network.  Completed handout

Check your notes against this completed handout   © Matthew Juniper matthewjuniper@learnfluidmechanics.org