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Incompressible pipe flow
with constant viscosity Pressure Profile in Incompressible Isoviscous Stationary Quasi-Isothermal Pipe Flow @model
| Pressure profile | Pressure gradient profile | Fluid velocity | Fluid rate |
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| anchor | PPconst |
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| alignment | left |
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| p(l) = p_s0 + \rho_s0 \, g \, z(l)
- \frac{\rhoj_sm^2 \, qf_s^2 0}{2 A^2 d}\, \rho_0 \, f_sd} \,cdot l |
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| \frac{dp}{dl} = \rho_s \, g \cos \theta(l) - \frac{\rho_s \, q_s^2 }{2 A^2 d} \, f_s |
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| q(l) =q_s = \rm const |
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| u(l) = u_s = \frac{q_s}{A} = \rm const |
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