diff --git a/OpenHPL/Waterway/Gate.mo b/OpenHPL/Waterway/Gate.mo index 273642b..3b51736 100644 --- a/OpenHPL/Waterway/Gate.mo +++ b/OpenHPL/Waterway/Gate.mo @@ -74,7 +74,8 @@ Equation numbers and figure numbers given below are in sync with the numbers of

The free flow can be calculated with: -$$Q_A = \\mu_A \\cdot A \\cdot \\sqrt{2g\\cdot h_0} \\tag{8.24} $$ +$$ Q_A = \\mu_A \\cdot A \\cdot \\sqrt{2g\\cdot h_0} \\tag{8.24} $$ + (valid for gate opening higher than the downstream water level)

@@ -86,17 +87,17 @@ With

$$ \\mu_A = \\frac{\\psi}{\\sqrt{1+\\frac{\\psi\\cdot a}{h_0}}} \\tag{8.23}$$
Contraction coefficient sluice gate (\\(\\alpha=90^\\circ\\))
$$ \\psi_{90^\\circ}= \\frac{1}{1+0.64\\cdot \\sqrt{1-(a/h_0)^2}} \\tag{8.25}$$
-
Contraction coefficient radial gate (for \\(a/h_0 \\rightarrow 0\\))
+
Contraction coefficient radial gate (for \(a/h_0 \\rightarrow 0\))
$$ \\psi_0(\\alpha)= 1.3 -0.8\\cdot\\sqrt{1-\\left(\\frac{\\alpha -205^\\circ}{220^\\circ}\\right)^2} \\tag{8.25a}$$
-
The edge angle \\(\\alpha\\) of the gate
+
The edge angle \(\\alpha\) of the gate
$$ \\alpha = \\left( \\frac{\\pi}{2} - \\arcsin(\\frac{h_h-a}{r})\\right) \\cdot \\frac{180^\\circ}{\\pi} $$
With:
@@ -148,11 +149,12 @@ With
Boundary between free and backed-up flow

-The boundary of the height of the water level \\(h_2\\) behind the gate from which on the calculation switches to the backed-up flow (8.29) can be derived from: +The boundary of the height of the water level \(h_2\) behind the gate from which on the calculation switches to the backed-up flow (8.29) can be derived from: $$ \\frac{h_2^*}{a} = \\frac{\\psi}{2} \\cdot \\left( \\sqrt{ 1 + \\frac{16}{\\psi\\cdot\\left(1+\\frac{\\psi\\cdot a}{h_0}\\right)}\\cdot\\frac{h_0}{a}} - 1 \\right) \\tag{8.26}$$ -So when \\(\\frac{h_2}{a} \\geq \\frac{h_2^*}{a}\\) then we have back-up flow. +So when \(\\frac{h_2}{a} \\geq \\frac{h_2^*}{a}\) then we have back-up flow.

-")); -end Gate; +", + __OpenModelica_infoHeader = "")); +end Gate; \ No newline at end of file diff --git a/OpenHPL/Waterway/Gate_HR.mo b/OpenHPL/Waterway/Gate_HR.mo index b0bf4f5..8b7f061 100644 --- a/OpenHPL/Waterway/Gate_HR.mo +++ b/OpenHPL/Waterway/Gate_HR.mo @@ -88,5 +88,6 @@ $$Q = C_{dx} A \\sqrt{2gH} \\tag{3}$$ Note: The use of Cdx is different to the implementaion as done in HEC-RAS. This was done in order to have a smoother transition from the partially to fully submerged region.

-")); +", + __OpenModelica_infoHeader = "")); end Gate_HR;