chapitre 5 hydraulique à surface libre

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Chapitre 5 Hydraulique à surface libre Dans le cadre de la Formation « Hydraulique Fondamentale » Unité de Formation pour la Performance Industrielle Olivier THUAL Toulouse INP ENSEEIHT en collaboration avec l’INP-ENSEEIHT

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Page 1: Chapitre 5 Hydraulique à surface libre

Chapitre 5Hydraulique à surface libre

Dans le cadre de la Formation « Hydraulique Fondamentale »

Unité de Formation pour la Performance Industrielle

Olivier THUALToulouse INPENSEEIHT

en collaboration avec l’INP-ENSEEIHT

Page 2: Chapitre 5 Hydraulique à surface libre

Chapitre 5Hydraulique à surface libre

Hydraulique Fondamentale Olivier THUAL 2

Canaux et rivières

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RH = A/P<latexit sha1_base64="0XHzyhkLk1Zj0byFOgy7q6n2/m0=">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</latexit><latexit sha1_base64="oiGhdOh+X4JhzPDP9SF827HNtgQ=">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</latexit><latexit sha1_base64="oiGhdOh+X4JhzPDP9SF827HNtgQ=">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</latexit>

DH = 4RH<latexit sha1_base64="pj8C+cVTEXN/8x9lbFLViGENv7A=">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</latexit><latexit sha1_base64="Xym4bKeBwVWO39p+lxdEbXFKTzc=">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</latexit><latexit sha1_base64="Xym4bKeBwVWO39p+lxdEbXFKTzc=">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</latexit>

<latexit sha1_base64="T4wwk1+EjAO7ElXyn9QyMZhOpKU=">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</latexit>

Charge hydraulique

Rayon et Diamètre hydrauliques

• Aire de la section• Largeur miroir• Périmètre mouillé• Profondeur

Page 3: Chapitre 5 Hydraulique à surface libre

Chapitre 5Hydraulique à surface libre

Hydraulique Fondamentale Olivier THUAL 3

Pente de frottement

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Darcy-Weisbach : Pente de frottement

Page 4: Chapitre 5 Hydraulique à surface libre

Chapitre 5Hydraulique à surface libre

Hydraulique Fondamentale Olivier THUAL 4

Régime rugueux

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Page 5: Chapitre 5 Hydraulique à surface libre

Chapitre 5Hydraulique à surface libre

Hydraulique Fondamentale Olivier THUAL 5

Formule de Manning-Strickler

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Page 6: Chapitre 5 Hydraulique à surface libre

Chapitre 5Hydraulique à surface libre

Hydraulique Fondamentale Olivier THUAL 6

Nombre de Froude

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yH<latexit sha1_base64="/bEwtt2UA8JoIobIfL8rpGfcw7M=">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</latexit><latexit sha1_base64="W00KdJFARjBGEtZ41dxsyeLx0Cc=">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</latexit><latexit sha1_base64="W00KdJFARjBGEtZ41dxsyeLx0Cc=">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</latexit> yH = A/B

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<latexit sha1_base64="WdnJnY4VHlB1UKlyqugVDrSp/bE=">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</latexit> <latexit sha1_base64="jC1IaatpAQKoA/ezXhFPaXtjEgY=">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</latexit>

Fluvial : Torrentiel :

Page 7: Chapitre 5 Hydraulique à surface libre

Chapitre 5Hydraulique à surface libre

Hydraulique Fondamentale Olivier THUAL 7

Courbes de remous

0 0.5 1 1.5 2 2.5 3−3

−2

−1

0

1

2

3

0 0.5 1 1.5−20

−15

−10

−5

0

5

10

15

20Pente faible yc < yn

<latexit sha1_base64="b3SyMG5g+ysE6Nf7fk5GG1afzgs=">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</latexit><latexit sha1_base64="tC2wn3GxKTvYmiUiO8dQfbzhhro=">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</latexit><latexit sha1_base64="tC2wn3GxKTvYmiUiO8dQfbzhhro=">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</latexit>

Pente forte yn < yc<latexit sha1_base64="lsm8rvpE8lQ7n9WYS6BVdoU1+cE=">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</latexit><latexit sha1_base64="aUrv5yXp6UzzWYN46HjmHMsbJgc=">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</latexit><latexit sha1_base64="aUrv5yXp6UzzWYN46HjmHMsbJgc=">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</latexit>

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FS0

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Hauteur normale

Hauteur critique

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Large canal :

Débit linéique :

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Page 8: Chapitre 5 Hydraulique à surface libre

Chapitre 5Hydraulique à surface libre

Hydraulique Fondamentale Olivier THUAL 8

Ressaut hydrauliqueZ

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Page 9: Chapitre 5 Hydraulique à surface libre

Chapitre 5Hydraulique à surface libre

Hydraulique Fondamentale Olivier THUAL 9

Changement de pente

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