Problem statement : A simple flow-measurement device for streams and channels is a notch, of angle α, cut into the side of a dam, as shown in Fig. P5.69. The volume flow Q depends only on α, the acceleration of gravity g, and the height δ of the upstream water surface above the notch vertex. Tests of a model notch, of angle α = 55°, yield the following flow rate data:δ, cm: 10 20 30 40 Q, m3/h: 8 47 126 263Part (A) - Find a dimensionless correlation for the data. (b) Use the model data to predict the flow rate of a prototype notch, also of angle α = 55°, when the upstream height δ is 3.2 m. The image depicts a cross-sectional diagram of a V-shaped trough or channel containing a fluid, likely intended to illustrate concepts in fluid mechanics or geometry. The diagram includes the following elements:- A blue-shaded triangular area, representing the fluid, with the angle at the base labeled as "α" (alpha). This angle illustrates the slope or inclination of the channel walls.- A vertical arrow on the right side of the diagram, labeled "δ" (delta), represents the depth or height of the fluid within the channel.- The channel has straight, inclined sides meeting at the bottom, forming the V shape.This schematic is useful for studying the behavior of fluids in open channels, calculating flow rates, or analyzing geometric properties related to angles and dimensions.

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Answered: Problem statement : A simple…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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Problem statement : A simple flow-measurement device for streams and channels is a notch, of angle α, cut into the side of a dam, as shown in Fig. P5.69. The volume flow Q depends only on α, the acceleration of gravity g, and the height δ of the upstream water surface above the notch vertex. Tests of a model notch, of angle α = 55°, yield the following flow rate data: δ, cm: 10 20 30 40 Q, m3/h: 8 47 126 263 Part (A) - Find a dimensionless correlation for the data. (b) Use the model data to predict the flow rate of a prototype notch, also of angle α = 55°, when the upstream height δ is 3.2 m.

The image depicts a cross-sectional diagram of a V-shaped trough or channel containing a fluid, likely intended to illustrate concepts in fluid mechanics or geometry. The diagram includes the following elements:

- A blue-shaded triangular area, representing the fluid, with the angle at the base labeled as "α" (alpha). This angle illustrates the slope or inclination of the channel walls.
- A vertical arrow on the right side of the diagram, labeled "δ" (delta), represents the depth or height of the fluid within the channel.
- The channel has straight, inclined sides meeting at the bottom, forming the V shape.

This schematic is useful for studying the behavior of fluids in open channels, calculating flow rates, or analyzing geometric properties related to angles and dimensions.

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