5. Complements concerning « coaxial cylindrical shells » configurations#

The values of the singular pressure loss coefficients for some particular input-output geometric configurations are provided below.

5.1. Singular input pressure loss coefficients#

Setup (1)

\(\mathrm{cde}=\mathrm{0,5}\)

\(\mathrm{cdep}=0\)

_images/10000201000000FA00000112161083D404116A72.png

Setup (2)

\(\mathrm{cde}=\mathrm{0,5}(1-\frac{{R}_{2}{H}_{2}}{{R}_{1}{H}_{1}})\)

\(\mathrm{cdep}=0\)

_images/10000201000000F100000128069D1520F0ED0C82.png

Setup (3)

\(\mathrm{cde}=0\)

\(\mathrm{cdep}=0\)

_images/10000201000000F600000128B1FFB9531649070D.png

Setup (4)

\(\mathrm{cde}={(1-\frac{{R}_{1}{H}_{1}}{{R}_{2}{H}_{2}})}^{2}{(\frac{{R}_{2}{H}_{2}}{{R}_{1}{H}_{1}})}^{2}={(\frac{{R}_{2}{H}_{2}}{{R}_{1}{H}_{1}}-1)}^{2}\)

\(\mathrm{cdep}=0\)

_images/10000201000000CC000001234F94484E196B5FE8.png

Setup (5)

\(\mathrm{cde}=\mathrm{0,5}(1-\frac{{R}_{2}{H}_{2}}{{R}_{1}{H}_{1}})\)

\(\mathrm{cdep}=\frac{\mathrm{cde}}{{H}_{1}}\)

_images/10000201000000EB0000012FA975AAEAEDC84E3C.png

5.2. Singular output pressure loss coefficients#

Setup (1)

\(\mathrm{cds}=1\)

\(\mathrm{cdsp}=0\)

_images/10000201000000E3000001138A1AA21E2071C817.png

Setup (2)

\(\mathrm{cds}={(1-\frac{{R}_{2}{H}_{2}}{{R}_{3}{H}_{3}})}^{2}\)

\(\mathrm{cdsp}=0\)

_images/10000201000000D70000014C34F505BB7F7701CA.png

Setup (3)

\(\mathrm{cds}=0\)

\(\mathrm{cdsp}=0\)

_images/10000201000000D20000010F9FB8444B4809A656.png

Setup (4)

\(\mathrm{cds}=\mathrm{0,5}(1-\frac{{R}_{3}{H}_{3}}{{R}_{2}{H}_{2}}){(\frac{{R}_{2}{H}_{2}}{{R}_{3}{H}_{3}})}^{2}\)

\(\mathrm{cdsp}=0\)

_images/10000201000000DE0000013ED2F07F5772BAF195.png

Setup (5)

\(\mathrm{cds}=\mathrm{0,5}{(1-\frac{{R}_{2}{H}_{2}}{{R}_{3}{H}_{3}})}^{2}\)

\(\mathrm{cdsp}=\frac{-2\mathrm{cds}}{{H}_{3}}\)

_images/10000201000000D7000001464716C7AC1C6D940D.png