- #1
Nevonis
- 8
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Hey!
So we have these equations that describe flow through and pressure in a pipe.
Discretized, we get this (simplefied, linearized with linear friction)
So, basically, for pressure at a certain point (i), we have that
I'm wondering if there are any similar equations that describes the pressure at a branch with known flow in and flow out (through both branches).
So we have these equations that describe flow through and pressure in a pipe.
∂p/∂t = -β/A * ∂q/∂x
∂q/∂t = -A/ρ * ∂p/∂x - F/ρ + g*Acos(α(x))
where A = cross area, β = bulk constant for water, p = pressure, q = flow, ρ = density, g = gravity constant, F = forces due to friction, α = angle between gravity and direction of flowDiscretized, we get this (simplefied, linearized with linear friction)
∂pi/∂t = β/(A*l) * (qi-1-qi)
∂qi/∂t = A/(l*ρ) * (pi - pi+1) - fqi
Where, f = friction constant.So, basically, for pressure at a certain point (i), we have that
∂pi/∂t = C * (qin-qout)
I'm wondering if there are any similar equations that describes the pressure at a branch with known flow in and flow out (through both branches).