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Pressure profile

Pressure gradient profile

Fluid velocity

Fluid rate

LaTeX Math Block

anchor	PPconst
alignment	left

p(l) = p_0 + \rho_0 \, g \, z(l)  
- \frac{j_m^2  f_0}{2 \, \rho_0 \, d} \cdot l

LaTeX Math Block

anchor	gradP
alignment	left

\frac{dp}{dl} = \rho_s0 \, g \cos \theta(l) - \frac{\rhoj_sm^2 \, qf_s^2 0}{2 A^2 d}\, \rho_0 \, f_sd}

LaTeX Math Block

anchor	1
alignment	left

q(l) =q_s0 = \rm const

LaTeX Math Block

anchor	1
alignment	left

u(l) = u_s0 = \frac{q_s0}{A} = \rm const

where

LaTeX Math Inline

body	--uriencoded--f_s = f(%7B\rm Re%7D_s, \, \epsilon)

LaTeX Math Inline

body	--uriencoded--\displaystyle %7B\rm Re%7D_s = \frac%7Bu(l) \cdot d%7D%7B\nu(l)%7D = \frac%7B4 \rho_s q_s%7D%7B\pi d%7D \frac%7B1%7D%7B\mu_s%7D

Reynolds number at intake point

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