From 2157c685247c9cfae9ff6de4f7dce8f515f52de5 Mon Sep 17 00:00:00 2001 From: Dorchies David <david.dorchies@irstea.fr> Date: Thu, 7 May 2020 15:54:33 +0200 Subject: [PATCH] feat: Add V-notch broad-crested weir discharge formula - Add translations - Update documentation Fix #399 --- .../en/calculators/structures/dever_triang.md | 47 ++++++++++++++---- .../calculators/structures/dever_triang.png | Bin 0 -> 47284 bytes .../structures/dever_triang_abaque_bos.png | Bin 0 -> 102692 bytes .../fr/calculators/structures/dever_triang.md | 41 ++++++++++++--- .../calculators/structures/dever_triang.png | Bin 0 -> 47284 bytes .../structures/dever_triang_abaque_bos.png | Bin 0 -> 102692 bytes src/app/calculators/cloisons/config.json | 1 + src/app/calculators/cloisons/en.json | 3 +- src/app/calculators/cloisons/fr.json | 3 +- .../calculators/parallelstructure/config.json | 1 + src/app/calculators/parallelstructure/en.json | 3 +- src/app/calculators/parallelstructure/fr.json | 3 +- src/locale/messages.en.json | 3 +- src/locale/messages.fr.json | 3 +- 14 files changed, 85 insertions(+), 23 deletions(-) create mode 100644 docs/en/calculators/structures/dever_triang.png create mode 100644 docs/en/calculators/structures/dever_triang_abaque_bos.png create mode 100644 docs/fr/calculators/structures/dever_triang.png create mode 100644 docs/fr/calculators/structures/dever_triang_abaque_bos.png diff --git a/docs/en/calculators/structures/dever_triang.md b/docs/en/calculators/structures/dever_triang.md index 3a96d0860..748232c3b 100644 --- a/docs/en/calculators/structures/dever_triang.md +++ b/docs/en/calculators/structures/dever_triang.md @@ -1,17 +1,44 @@ -# Triangular weir formula +# V-notch weir formula -T1 caracterized by: + -* \(C_d\): discharge coefficient -* \(\alpha\): half angle at the apex of the triangle -* \(Z_d\): elevation of the tip of the triangle +*Perspective view of a triangular weir (from CETMEF, 2005[^1])* -## Formula +## Free flow formula -$$Q = C_d * tg \frac{\alpha}{2} \left ( Z_{am} - Z_d \right )^{2.5}$$ +$$Q = C_d * \tan \left( \frac{\alpha}{2} \right) \left ( Z_{1} - Z_d \right )^{2.5}$$ -Thin wall weir: \(C_d\) = 1.37 +Avec: -Thick weir without contraction (rounded \(r > 0.1 * h1\)): \(C_d\) = 1.27 +* \(C_d\) : discharge coefficient +* \(\alpha / 2\) : half-angle at the apex of the triangle +* \(Z_1\) : upstream water elevation +* \(Z_d\) : spill elevation at the tip of the triangle -Triangular profile weir: (1/2 upstream, 1/2 or 1/5 downstream): \(C_d\) = 1.68 and 1.56 +The discharge coefficient \(C_d\) depends, among other things, on the thickness of the weir: + +- Sharp-crested weir : \(C_d\) = 1.37 +- Broad-crested weir (rounded off \(r > 0.1 * h1\)) : \(C_d\) = 1.27 +- triangular profile weir : (1/2 upstream, 1/2 or 1/5 downstream) : \(C_d\) = 1.68 and 1.56 + +## Submergence of a V-notch sharp-crested weir + +The weir is submerged as soon as \(Z_{2} > Z_{d}\) and [the Villemonte reduction coefficient](villemonte_1947.md) is then applied to the discharge calculated in free flow. + +## Submergence of a V-notch broad-crested weir + +Submergence occurs for \(h_2 / h_1 > 4 / 5\) with \(h_1 = Z_1 - Z_d\) and \(h_2 = Z_2 - Z_d\), and with \(Z_2\) the downstream water elevation. + +The reduction coefficient proposed by Bos (1989) [^2] is then applied: + +![Submergence reduction factor for a V-notch broad-crested weir (from Bos, 1989 [^2])](dever_triang_abaque_bos.png) + +*Submergence reduction factor for a V-notch broad-crested weir (from Bos, 1989 [^2])* + +The abacus is approximated by the following formula: + +$$K_s = sin(3.9629 (1 - h_2 / h_1)^{0.575})$$ + +[^1]: CETMEF, 2005. Notice sur les déversoirs : synthèse des lois d’écoulement au droit des seuils et déversoirs. Centre d’Études Techniques Maritimes Et Fluviales, Compiègne. + +[^2]: Bos, M.G., 1989. Discharge measurement structures., 3rd edition. ed, Publication. 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z9{HG=8VbSh8wN}p+ilL_N>jPuyL#(}%D<KWS=n7$dg_eVy?;*bMeKV}^Q}*}opQw! zF|9VylnMBrnUQ{2Wpi5F@2q-{*Q*~y+uoHD7vpH|u3mGfMMfxCU)!Z?4%!?|>pOII z@Q2LY#>Qj|wU#COBFqNKflWEDY45AujVjos%U^sc?}P)TxRzYELU2`c-(g1v%1ZKC zB_D0#XlK{V5YWTF|C8zD`QJYZ|DsKlH(;ZP^Y%ag%WH0vc=X2Zb8q9TLj|$i6wB!r J7tEcu{V%>BE35zj literal 0 HcmV?d00001 diff --git a/docs/fr/calculators/structures/dever_triang.md b/docs/fr/calculators/structures/dever_triang.md index 38fac98fd..62bf10737 100644 --- a/docs/fr/calculators/structures/dever_triang.md +++ b/docs/fr/calculators/structures/dever_triang.md @@ -1,17 +1,44 @@ # Formule du déversoir triangulaire -T1 caractérisé par : + + +*Vue en perspective d'un déversoir triangulaire (d'après CETMEF, 2005[^1])* + +## Formule du déversoir dénoyé + +$$Q = C_d * \tan \left( \frac{\alpha}{2} \right) \left ( Z_{1} - Z_d \right )^{2.5}$$ + +Avec: * \(C_d\) : coefficient de débit -* \(\alpha\) : demi-angle au sommet du triangle +* \(\alpha / 2\) : le demi-angle au sommet du triangle +* \(Z_1\) : cote de l'eau à l'amont du seuil * \(Z_d\) : cote de déversement de la pointe du triangle -## Formule +Le coefficient de débit \(C_d\) dépend notamment de l'épaisseur du déversoir: + +- Déversoir en mince paroi : \(C_d\) = 1.37 +- Déversoir épais sans contraction (arrondi \(r > 0.1 * h1\)) : \(C_d\) = 1.27 +- Déversoir à profil triangulaire : (1/2 amont, 1/2 ou 1/5 aval) : \(C_d\) = 1.68 et 1.56 + +## Ennoiement d'un seuil triangulaire mince + +Le seuil est noyé dès que \(Z_{2} > Z_{d}\) et [le coefficient de réduction de Villemonte](villemonte_1947.md) est alors appliqué sur le débit calculé en régime dénoyé. + +## Ennoiement d'un seuil triangulaire épais + +L'ennoiement a lieu pour \(h_2 / h_1 > 4 / 5\) avec \(h_1 = Z_1 - Z_d\) et \(h_2 = Z_2 - Z_d\), et avec \(Z_2\) la cote de l'eau à l'aval du seuil. + +Le coefficient de réduction proposé par Bos (1989)[^2] est alors appliqué: + +![Coefficient d'ennoiement pour un déversoir triangulaire à crête épaisse (d'après Bos, 1989 [^2])](dever_triang_abaque_bos.png) + +*Coefficient d'ennoiement pour un déversoir triangulaire à crête épaisse (extrait de Bos, 1989 [^2])* -$$Q = C_d * tg \frac{\alpha}{2} \left ( Z_{am} - Z_d \right )^{2.5}$$ +L'abaque est approché par la formule suivante : -Déversoir en mince paroi : \(C_d\) = 1.37 +$$K_s = sin(3.9629 (1 - h_2 / h_1)^{0.575})$$ -Déversoir épais sans contraction (arrondi \(r > 0.1 * h1\)) : \(C_d\) = 1.27 +[^1]: CETMEF, 2005. Notice sur les déversoirs : synthèse des lois d’écoulement au droit des seuils et déversoirs. Centre d’Études Techniques Maritimes Et Fluviales, Compiègne. -Déversoir à profil triangulaire : (1/2 amont, 1/2 ou 1/5 aval) : \(C_d\) = 1.68 et 1.56 +[^2]: Bos, M.G., 1989. Discharge measurement structures., 3rd edition. ed, Publication. 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z9{HG=8VbSh8wN}p+ilL_N>jPuyL#(}%D<KWS=n7$dg_eVy?;*bMeKV}^Q}*}opQw! zF|9VylnMBrnUQ{2Wpi5F@2q-{*Q*~y+uoHD7vpH|u3mGfMMfxCU)!Z?4%!?|>pOII z@Q2LY#>Qj|wU#COBFqNKflWEDY45AujVjos%U^sc?}P)TxRzYELU2`c-(g1v%1ZKC zB_D0#XlK{V5YWTF|C8zD`QJYZ|DsKlH(;ZP^Y%ag%WH0vc=X2Zb8q9TLj|$i6wB!r J7tEcu{V%>BE35zj literal 0 HcmV?d00001 diff --git a/src/app/calculators/cloisons/config.json b/src/app/calculators/cloisons/config.json index fd387b8de..bb5e3cd4f 100644 --- a/src/app/calculators/cloisons/config.json +++ b/src/app/calculators/cloisons/config.json @@ -35,6 +35,7 @@ "SeuilRectangulaire_WeirVillemonte": "structures/kivi.html", "SeuilRectangulaire_WeirSubmergedLarinier": "structures/fente_noyee.html", "SeuilTriangulaire_TriangularWeirFree": "structures/dever_triang.html", + "SeuilTriangulaire_TriangularWeirBroad": "structures/dever_triang.html", "SeuilTriangulaireTrunc_TriangularTruncWeirFree": "structures/dever_triang_tronque.html" } }, diff --git a/src/app/calculators/cloisons/en.json b/src/app/calculators/cloisons/en.json index 752ed71b3..997eae6e8 100644 --- a/src/app/calculators/cloisons/en.json +++ b/src/app/calculators/cloisons/en.json @@ -16,7 +16,8 @@ "select_loidebit_SeuilRectangulaire_WeirSubmergedLarinier": "Submerged slot (Larinier 1992)", "select_loidebit_SeuilRectangulaire_WeirVillemonte": "Villemonte 1947", - "select_loidebit_SeuilTriangulaire_TriangularWeirFree": "Triangular weir (Villemonte)", + "select_loidebit_SeuilTriangulaire_TriangularWeirFree": "V-notch sharp-crested weir (Villemonte)", + "select_loidebit_SeuilTriangulaire_TriangularWeirBroad": "V-notch broad-crested weir (Bos)", "select_loidebit_SeuilTriangulaireTrunc_TriangularTruncWeirFree": "Truncated triangular weir (Villemonte)", diff --git a/src/app/calculators/cloisons/fr.json b/src/app/calculators/cloisons/fr.json index 724c6fa1b..c7a58c66e 100644 --- a/src/app/calculators/cloisons/fr.json +++ b/src/app/calculators/cloisons/fr.json @@ -13,7 +13,8 @@ "select_loidebit_SeuilRectangulaire_WeirSubmergedLarinier": "Fente noyée (Larinier 1992)", "select_loidebit_SeuilRectangulaire_WeirVillemonte": "Villemonte 1947", - "select_loidebit_SeuilTriangulaire_TriangularWeirFree": "Déversoir triangulaire (Villemonte)", + "select_loidebit_SeuilTriangulaire_TriangularWeirFree": "Déversoir triangulaire mince (Villemonte)", + "select_loidebit_SeuilTriangulaire_TriangularWeirBroad": "Déversoir triangulaire épais (Bos)", "select_loidebit_SeuilTriangulaireTrunc_TriangularTruncWeirFree": "Déversoir triangulaire tronqué (Villemonte)", diff --git a/src/app/calculators/parallelstructure/config.json b/src/app/calculators/parallelstructure/config.json index 63627b008..2f2e9cb83 100644 --- a/src/app/calculators/parallelstructure/config.json +++ b/src/app/calculators/parallelstructure/config.json @@ -40,6 +40,7 @@ "SeuilRectangulaire_WeirSubmerged": "structures/seuil_noye.html", "SeuilRectangulaire_WeirFree": "structures/seuil_denoye.html", "SeuilTriangulaire_TriangularWeirFree": "structures/dever_triang.html", + "SeuilTriangulaire_TriangularWeirBroad": "structures/dever_triang.html", "SeuilTriangulaireTrunc_TriangularTruncWeirFree": "structures/dever_triang_tronque.html" } }, diff --git a/src/app/calculators/parallelstructure/en.json b/src/app/calculators/parallelstructure/en.json index 3e63f26b2..3e2e7fc8e 100644 --- a/src/app/calculators/parallelstructure/en.json +++ b/src/app/calculators/parallelstructure/en.json @@ -17,7 +17,8 @@ "select_loidebit_VanneRectangulaire_RectangularOrificeFree": "Free flow gate", "select_loidebit_VanneRectangulaire_RectangularOrificeSubmerged": "Submerged gate", - "select_loidebit_SeuilTriangulaire_TriangularWeirFree": "Triangular weir (Villemonte)", + "select_loidebit_SeuilTriangulaire_TriangularWeirFree": "V-notch sharp-crested weir (Villemonte)", + "select_loidebit_SeuilTriangulaire_TriangularWeirBroad": "V-notch broad-crested weir (Bos)", "select_loidebit_SeuilTriangulaireTrunc_TriangularTruncWeirFree": "Truncated triangular weir (Villemonte)", diff --git a/src/app/calculators/parallelstructure/fr.json b/src/app/calculators/parallelstructure/fr.json index ec6b2dbbc..75c23e0b1 100644 --- a/src/app/calculators/parallelstructure/fr.json +++ b/src/app/calculators/parallelstructure/fr.json @@ -17,7 +17,8 @@ "select_loidebit_VanneRectangulaire_RectangularOrificeFree": "Vanne dénoyée", "select_loidebit_VanneRectangulaire_RectangularOrificeSubmerged": "Vanne noyée", - "select_loidebit_SeuilTriangulaire_TriangularWeirFree": "Déversoir triangulaire (Villemonte)", + "select_loidebit_SeuilTriangulaire_TriangularWeirFree": "Déversoir triangulaire mince (Villemonte)", + "select_loidebit_SeuilTriangulaire_TriangularWeirBroad": "Déversoir triangulaire épais (Bos)", "select_loidebit_SeuilTriangulaireTrunc_TriangularTruncWeirFree": "Déversoir triangulaire tronqué (Villemonte)", diff --git a/src/locale/messages.en.json b/src/locale/messages.en.json index 056322303..f3b8eab41 100644 --- a/src/locale/messages.en.json +++ b/src/locale/messages.en.json @@ -305,7 +305,8 @@ "INFO_LOIDEBIT_WeirSubmergedLarinier": "Submerged slot (Larinier 1992)", "INFO_LOIDEBIT_OrificeSubmerged": "Submerged orifice", "INFO_LOIDEBIT_OrificeFree": "Free orifice", - "INFO_LOIDEBIT_TriangularWeirFree": "Triangular weir (Villemonte)", + "INFO_LOIDEBIT_TriangularWeirBroad": "V-notch broad-crested weir (Bos)", + "INFO_LOIDEBIT_TriangularWeirFree": "V-notch sharp-crested weir (Villemonte)", "INFO_LOIDEBIT_TriangularTruncWeirFree": "Truncated triangular weir (Villemonte)", "INFO_LOIDEBIT_GateCem88d": "Weir/Orifice Cemagref 88", "INFO_LOIDEBIT_GateCem88v": "Weir/Undershot gate Cemagref 88", diff --git a/src/locale/messages.fr.json b/src/locale/messages.fr.json index 0b15e2145..6f19f9104 100644 --- a/src/locale/messages.fr.json +++ b/src/locale/messages.fr.json @@ -304,7 +304,8 @@ "INFO_LOIDEBIT_WeirSubmergedLarinier": "Fente noyée (Larinier 1992)", "INFO_LOIDEBIT_OrificeSubmerged": "Orifice noyé", "INFO_LOIDEBIT_OrificeFree": "Orifice dénoyé", - "INFO_LOIDEBIT_TriangularWeirFree": "Déversoir triangulaire (Villemonte)", + "INFO_LOIDEBIT_TriangularWeirBroad": "Déversoir triangulaire épais (Bos)", + "INFO_LOIDEBIT_TriangularWeirFree": "Déversoir triangulaire mince (Villemonte)", "INFO_LOIDEBIT_TriangularTruncWeirFree": "Déversoir triangulaire tronqué (Villemonte)", "INFO_LOIDEBIT_GateCem88d": "Déversoir/Orifice Cemagref 88", "INFO_LOIDEBIT_GateCem88v": "Déversoir/Vanne de fond Cemagref 88", -- GitLab