dean_number - Dean number De

3.3.1 dean_number - Dean number $De$

de = dean_number(re,d,r,p=undefined)

Computes the Dean number $De$ given the Reynolds number $Re$ , the helix radius $RH$ and the pipe internal diameter $D$ . The Dean number is then defined as:

√︄ ---- -D-- De= Re 2RH

Optionally the pitch of the helix $P$ can be specified, in which case the following more complete definition of the Dean number will be used:

√ --------------- √√ -------d------- De =Re√√ ( (-P-)2) 2RH 1+ 2πRH

Arguments

re: Reynolds number $Re$ .
d: Pipe internal diameter $D$ ( $m$ ).
r: Helix radius $RH$ ( $m$ ).
p: Helix pitch $P$ .

Returns Dean number $De$ , dimensionless.

Possible Errors

Dean-Number unknown amount of arguments: Unknown amount of arguments supplied.
Dean-Number some given helical radius is <= 0: The given helical radius or any of the vector elements, if it is a vector are below or equal to zero.
Dean-Number some given pipe diameter is <= 0: The given pipe diameter or any of the vector elements, if it is a vector are below or equal to zero.

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