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Sutro
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Weir Research
Introduction
Definition of Weir : A type of small overflow dam that can be used for flow measurement. The Linear Flow Orifice Meter is a mimic of this weir.
Definition of Sutro Weir : The discharge (flow) through the weir is proportional to the head (water depth above a reference plane located at one third of the depths of the crest of the base weir).
Development : The linear-proportional weir was developed by Stout in 1897 and was theoretically based, the design stipulated the width at the base as infinite. In 1908 Sutro modified the design to create a practical linear-proportional weir. The weir has a rectangular base and the flow through the weir is proportional to the height of the water through the curved portion of the weir plus
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Research h2. Introduction *Definition of Weir* : A type of small overflow dam that can be used for flow measurement. The Linear Flow Orifice Meter is a mimic of a weir. *Definition of Sutro Weir* : The dicharge (flow) through the weir is proportional to the head (water depth above a reference plane located at one third of the depths of the crest of the base weir). *Development* : The linear-proportional weir was developed by Stout in 1897 and was theoretically based, the design stipulated the width at the base as infinite. In 1908 Sutro modified the design to create a practical linear-proportional weir, known as the sutro weir. The sutro wier has a rectangular base and the flow through the wier is proportional to the height of the water through the curved portion of the weir plus {latex} $$ 2\over 3 $$ {latex} |
of
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the
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height
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base
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$$ Q = c [h + {2 \over 3} s] $$ |
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Equations Page Here
Source 1:
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Prof.
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B.S.
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Thandaveswara
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from
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the
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Indian
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Institute
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of
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Technology
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Madras website
Figure 1: Sutro weir with constraining equations.
- Note: The rectangular base is present in the design merely to simplify evaluation and analysis. Flow proportional to water height begins above the rectangular weir.
Variables
W = base of rectangular weir
s = height of rectangular weir
h = weir height above rectangular weir
c = constant of proportionality
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[website|http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-MADRAS/Hydr/pdfs/Unit14/proportional-weir.pdf] !Sutro Weir Picture.bmp||width=300,height=250! Figure 1: Sutro weir with constraining equations. * Note: The rectangular base is present in the design merely to simplify evaluation and analysis. Flow proportional to water height begins above the rectangular weir. h5. Variables W = base of rectangular weir s = height of rectangular weir h = wier hight above rectangular weir c = constant of proportionality {latex} $$ C_d $$ {latex} |
=
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coefficient
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of
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discharge,
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ranges
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from
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0.0597
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to
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0.619
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} $$ q_w $$ {latex} |
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Flow
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through
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rectangular
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weir
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} $$ q_u $$ {latex} |
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Flow
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through
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upper
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portion
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of
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weir,Important
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Parameter
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Q
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=
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Total
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Discharge
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} $$ C_0 $$ {latex} = Proportionality constant, average value is |
= vena contracta area ratio, average value is 0.62
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g = acceleration due to gravity
Source 2: Practical Constant-Accuracy Linear Weir K. Keshava Murthy and M. N. Shesha Prakash, Journal Irrigation and Drainage Engineering 120, 550 (1994)
The paper explores a different weir design that also results a discharge that is proportional to the depths of head. The design has two parts, one is the outside edge of part of a circle and the rest of the weir is a sloped straight line. The redesign was tested because the changes would make construction easier. The results showed a high level of accuracy, +/- 1% in the head range 0.5R <= h <= 7.9R (R is the radius of sector of circle, the coefficient of discharge was experimentally shown to be 0.619. Figure 1 is a visual representation of the design.
Source 3: Geometrically Simple Logarithmic Weir K. Keshava Murthy, H. S. Ramesh, and M. N. Shesha Prakash, Journal Irrigation and Drainage Engineering 121, 419 (1995)
Note sources 2 and 3 were found through the ASCE research library at http://scitation.aip.org/hyo/