Pipeline Toolbox
Function Reference Manual
Early Public Release DD-00011-000

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.