Dean number, abbreviated as De, a dimensionless number, used in momentum transfer for the flow in curved pipes and channels. The equation and calculation is shown below.
Dean number calculator
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Dean Number formula
| \(\large{ De = \sqrt { \frac {d}{2 \; r} } \; \frac {\rho \; v \; d}{ \mu } = \sqrt { \frac { d } { 2 \; r } } \; Re }\) |
Where:
| Units |
English |
Metric |
| \(\large{ De }\) = Dean number |
\(\large{dimensionless}\) |
| \(\large{ \rho }\) (Greek symbol rho) = density of fluid |
\(\large{\frac{lbm}{ft^3}}\) |
\(\large{\frac{kg}{m^3}}\) |
| \(\large{ d }\) = diameter |
\(\large{in}\) |
\(\large{mm}\) |
| \(\large{ \mu }\) (Greek symbol mu) = dynamic viscosity |
\(\large{\frac{lbf-sec}{ft^2}}\) |
\(\large{ Pa-s }\) |
| \(\large{ r }\) = radius of curviture of the path of channel |
\(\large{in}\) |
\(\large{mm}\) |
| \(\large{ Re }\) = Reynolds number |
\(\large{dimensionless}\) |
| \(\large{ v }\) = axial velocity scale |
\(\large{\frac{ft}{sec}}\) |
\(\large{\frac{m}{s}}\) |
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