Math, asked by vampirevenem5228, 11 months ago

How to calculate dean number and wommerslay number for blood

Answers

Answered by XxUnknownxX
0

Answer:

The Dean number is typically denoted by De (or Dn). For a flow in a pipe or tube it is defined as:

{\displaystyle {\mathit {De}}={\frac {\sqrt {({\text{centripetal forces}})({\text{inertial forces}})}}{\text{viscous forces}}}={\frac {\sqrt {(\rho \,{\frac {r}{d}}{\frac {v^{2}}{(r/d)^{2}}})(\rho \,v^{2})}}{\mu {\frac {v}{d}}}}={\sqrt {\frac {d}{2r}}}{\frac {\rho v\!d}{\mu }}={\sqrt {\frac {d}{2r}}}{\textit {Re}}}

where

\rho is the density of the fluid

\mu is the dynamic viscosity

v is the axial velocity scale

d is the diameter (for non-circular geometry, an equivalent diameter is used; see Reynolds number)

r is the radius of curvature of the path of the channel.

{\displaystyle {\textit {Re}}} is the Reynolds number.

The Dean number is therefore the product of the Reynolds number (based on axial flow v through a pipe of diameter d) and the square root of the curvature ratio.

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