Definition
The Dean number is typically denoted by the symbol De. For flow in a pipe or tube it is defined as:
where
- is the density of the fluid
- is the dynamic viscosity
- is the axial velocity scale
- is the diameter (other shapes are represented by an equivalent diameter, see Reynolds number)
- is the radius of curvature of the path of the channel.
The Dean number is therefore the product of the Reynolds number (based on axial flow through a pipe of diameter ) and the square root of the curvature ratio.
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