Sharp-Crested Weir Experiment

Topics: Error, Measurement, Weir Pages: 19 (3942 words) Published: June 23, 2013
CIVE 440

SHARP-CRESTED WEIRS

Prepared by El-Khatib Zafer

Submitted to course instructor Dr. Habib Basha 3/21/2013

Table of Contents
Table of Contents .......................................................................................................................................... ii List of Figures ................................................................................................................................................ ii List of Tables ................................................................................................................................................ iii Executive Summary...................................................................................................................................... iv 1. 2. Introduction .......................................................................................................................................... 1 Methodology......................................................................................................................................... 1 2.1 Theory ........................................................................................................................................... 1 Governing Equations ............................................................................................................. 1 Underlying Assumptions ....................................................................................................... 5

2.1.1. 2.1.2. 2.2 3.

Modeling Steps ............................................................................................................................. 5

Results and Calculations ....................................................................................................................... 6 3.1 3.2 3.3 Rectangular Weir .......................................................................................................................... 6 Triangular Weir ............................................................................................................................. 8 Trapezoidal Weir ........................................................................................................................... 9

4.

Analysis and Discussion....................................................................................................................... 10 4.1 4.2 4.3 4.4 Rectangular Weir ........................................................................................................................ 10 Triangular Weir ........................................................................................................................... 13 Trapezoidal Weirs ....................................................................................................................... 15 Summary of Analysis ................................................................................................................... 18

5.

Conclusion ........................................................................................................................................... 18

References .................................................................................................................................................. 19 Appendix ..................................................................................................................................................... 19

List of Figures
Figure 1: Rectangular Weir ........................................................................................................................... 2 Figure 2: Triangular weir ............................................................................................................................... 3 Figure 3: Trapezoidal Weirs .......................................................................................................................... 4 Figure 4: Plot...

References: Bentley. (2009). V-Notch Sharp-Crest Weir. Retrieved March 17, 2013, from Bently: http://docs.bentley.com/en/HMFlowMaster/FlowMasterHelp-06-47.html E. John Finnemore, J. B. (2002). Fluid Mechanics. New York: Elizabeth A. Jones. Moody Diagram. (n.d.). Retrieved 3 4, 2013, from ezformula.net: http://www.ezformula.net/esne/aboard/skin/board/Blue%5BJanee%5D/img_view.php?image=.%2Fdat a%2Fbbs03%2F54%241%24Moody+diagram.jpg&title=%B9%AB%B5%F0(Moody)+Diagram
Appendix
Table 18: V-Notch coefficient of discharge
Head (meters) 0.15 0.3 0.46 0.61 0.76 0.91 (Bentley, 2009)
22.5 0.611 0.593 0.586 0.583 0.580 0.579
30 0.605 0.590 0.583 0.580 0.578 0.577
Triangular Weir Angle (degrees) 45 60 0.596 0.590 0.583 0.580 0.578 0.575 0.576 0.573 0.574 0.572 0.574 0.571
90 0.584 0.576 0.572 0.571 0.570 0.570
120 0.581 0.575 0.672 0.571 0.570 0.570
P a g e | 19
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