From 593eaa8e9bc0978ce9e35721d713ebc0a02bef71 Mon Sep 17 00:00:00 2001 From: Dietmar Winkler Date: Fri, 28 Jun 2024 14:48:12 +0200 Subject: [PATCH] Added documentation for the sluice gate. --- OpenHPL/Waterway/Gate.mo | 6 ++++-- 1 file changed, 4 insertions(+), 2 deletions(-) diff --git a/OpenHPL/Waterway/Gate.mo b/OpenHPL/Waterway/Gate.mo index 6158430..56443d1 100644 --- a/OpenHPL/Waterway/Gate.mo +++ b/OpenHPL/Waterway/Gate.mo @@ -27,7 +27,7 @@ model Gate "Model of a sluice or tainter gate based on [Bollrich2019]" equation mu_A = psi/sqrt(1+psi*a/h_0); if sluice then - psi = 1 / (1+ 0.64 * sqrt(1-(a/h_0)^2)); + psi = 1 / (1+ 0.64 * sqrt(1-(a/h_0)^2)) "Sluice gate, i.e. alpha = 90 deg"; else psi = 1.3 - 0.8 * sqrt(1 - ((to_deg(alpha)-205)/220)^2) "Normally only valid for a/h_0 --> 0"; end if; @@ -79,7 +79,9 @@ With
$$ A = a\\cdot b $$
Discharge coefficient
$$ \\mu_A = \\frac{\\psi}{\\sqrt{1+\\frac{\\psi\\cdot a}{h_0}}} \\tag{8.23}$$
-
Contraction coefficient (for \\(a/h_0 \\rightarrow 0\\))
+
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\\))
$$ \\psi_0(\\alpha)= 1.3 -0.8\\cdot\\sqrt{1-\\left(\\frac{\\alpha -205^\\circ}{220^\\circ}\\right)^2} \\tag{8.25a}$$