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Prof. Dr. Aminuddin Ab Ghani Specific Energy & Hydraulic Jump

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Page 1: Specific Energy & Hydraulic Jump - redac , usmredac.eng.usm.my/EAH/Handouts/Specific Energy 2011.pdf · 7 Schematic and flow depth-specific energy diagram for a hydraulic jump (specific

Prof. Dr. Aminuddin Ab Ghani

Specific Energy &

Hydraulic Jump

Page 2: Specific Energy & Hydraulic Jump - redac , usmredac.eng.usm.my/EAH/Handouts/Specific Energy 2011.pdf · 7 Schematic and flow depth-specific energy diagram for a hydraulic jump (specific

Reference

Page 3: Specific Energy & Hydraulic Jump - redac , usmredac.eng.usm.my/EAH/Handouts/Specific Energy 2011.pdf · 7 Schematic and flow depth-specific energy diagram for a hydraulic jump (specific

Chapter 13OPEN-CHANNEL FLOW

Lecture slides byMehmet Kanoglu

Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

Fluid Mechanics: Fundamentals and Applications2nd EDITION IN SI UNITS

Yunus A. Cengel, John M. CimbalaMcGraw-Hill, 2010

Page 4: Specific Energy & Hydraulic Jump - redac , usmredac.eng.usm.my/EAH/Handouts/Specific Energy 2011.pdf · 7 Schematic and flow depth-specific energy diagram for a hydraulic jump (specific

SPECIFIC ENERGY

The specific energy Es of a liquid in an open channel is the total mechanical energy (expressed as a head) relative to the bottom of the channel.

Page 5: Specific Energy & Hydraulic Jump - redac , usmredac.eng.usm.my/EAH/Handouts/Specific Energy 2011.pdf · 7 Schematic and flow depth-specific energy diagram for a hydraulic jump (specific

SPECIFIC ENERGY

The specific energy reaches a minimum value Es, min at someintermediate point, called the critical point, characterized by the criticaldepth yc and critical velocity Vc. The minimum specific energy is also called the critical energy.

Page 6: Specific Energy & Hydraulic Jump - redac , usmredac.eng.usm.my/EAH/Handouts/Specific Energy 2011.pdf · 7 Schematic and flow depth-specific energy diagram for a hydraulic jump (specific

Hydraulic jump

Page 7: Specific Energy & Hydraulic Jump - redac , usmredac.eng.usm.my/EAH/Handouts/Specific Energy 2011.pdf · 7 Schematic and flow depth-specific energy diagram for a hydraulic jump (specific

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Schematic and flow depth-specific energy diagram for a hydraulic jump (specific energy decreases).

Page 8: Specific Energy & Hydraulic Jump - redac , usmredac.eng.usm.my/EAH/Handouts/Specific Energy 2011.pdf · 7 Schematic and flow depth-specific energy diagram for a hydraulic jump (specific

The energy dissipation ratio represents the fraction of mechanical energy dissipated during a hydraulic jump.

The fraction of energy dissipation ranges from just a few percent for weakhydraulic jumps (Fr1 < 2) to 85 percent for strong jumps (Fr1 > 9).

Page 9: Specific Energy & Hydraulic Jump - redac , usmredac.eng.usm.my/EAH/Handouts/Specific Energy 2011.pdf · 7 Schematic and flow depth-specific energy diagram for a hydraulic jump (specific

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Page 10: Specific Energy & Hydraulic Jump - redac , usmredac.eng.usm.my/EAH/Handouts/Specific Energy 2011.pdf · 7 Schematic and flow depth-specific energy diagram for a hydraulic jump (specific

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Page 11: Specific Energy & Hydraulic Jump - redac , usmredac.eng.usm.my/EAH/Handouts/Specific Energy 2011.pdf · 7 Schematic and flow depth-specific energy diagram for a hydraulic jump (specific

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Page 12: Specific Energy & Hydraulic Jump - redac , usmredac.eng.usm.my/EAH/Handouts/Specific Energy 2011.pdf · 7 Schematic and flow depth-specific energy diagram for a hydraulic jump (specific