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| Pressure profile | Pressure gradient profile | Fluid velocity | Fluid rate |
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| LaTeX Math Block |
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| anchor | PPconst |
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| alignment | left |
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| p(l) = p_0 + \rho_0 \, g \, z(l) - \frac{\rho_0 \, q_0^2 }{2 A^2 d} \, f_0 \, l |
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| LaTeX Math Block |
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| anchor | IFPGPgradP |
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| alignment | left |
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| \frac{dp}{dl} = \rho_0 \, g \cos \theta(l) - \frac{\rho_0 \, q_0^2 }{2 A^2 d} \, f_0 |
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| LaTeX Math Block |
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| q(l) =q_0 = \rm const |
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| LaTeX Math Block |
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| u(l) = u_0 = \frac{q_0}{A} = \rm const |
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The first term in the right side of
| LaTeX Math Block Reference |
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defines the hydrostatic column of static fluid while the last term defines the friction losses under fluid movement:
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