You are viewing an old version of this page. View the current version.
Compare with Current
View Page History
« Previous
Version 4
Next »
(1) |
\dot m = \sum_\alpha \dot m_\alpha |
(2) |
A = \sum_\alpha A_\alpha |
(3) |
\sum_\alpha s_\alpha = 1 |
(4) |
u_m = \sum_\alpha s_\alpha \cdot \dot u_\alpha |
(5) |
q_\alpha = \dot m_\alpha / \rho_\alpha = A_\alpha \, u_\alpha \Rightarrow \dot m_\alpha = \rho_\alpha \, A_\alpha \, u_\alpha |
(6) |
s_\alpha = \frac{\dot m_\alpha}{\rho_\alpha \, u_\alpha} \cdot \left( \sum_\beta \frac{\dot m_\beta}{\rho_\beta \, u_\beta} \right)^{-1} |
For homogeneous pipe flow:
u_\alpha = u_m, \, \forall \alpha and volumetric shares are going to be:
(7) |
s_\alpha = \frac{\dot m_\alpha}{\rho_\alpha} \cdot \left( \sum_\beta \frac{\dot m_\beta}{\rho_\beta} \right)^{-1} |
See also
Physics / Mechanics / Continuum mechanics / Fluid Mechanics / Fluid Dynamics / Fluid Flow / Pipe Flow / Pipe Flow Dynamics / Pipe Flow Simulation
[ Pipe ] [ Pipeline ] [ Pipeline Engineering ]
(8) |
s_\alpha = A_\alpha/A |