Hydraulic Radius in Fluid Mechanics
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Questions and Answers

What does hydraulic radius specifically measure in a rock structure?

  • The age of the rock formation
  • The point where rock begins to cave under stress (correct)
  • The total mass of the rock
  • The point of erosion on the surface
  • Which formula correctly represents the concept of hydraulic radius?

  • HR = volume/area
  • HR = area^2/perimeter
  • HR = perimeter/area
  • HR = area/perimeter (correct)
  • What factors are necessary to determine the hydraulic radius?

  • Area and perimeter (correct)
  • Volume and weight
  • Surface area and temperature
  • Height and density
  • Which of the following factors does NOT directly affect the hydraulic radius?

    <p>The temperature of the environment</p> Signup and view all the answers

    In what scenario would understanding hydraulic radius be most critical?

    <p>Designing drainage systems for flood zones</p> Signup and view all the answers

    Which factor is NOT a consideration when selecting a mining method?

    <p>Evaluate mineral variety</p> Signup and view all the answers

    Which underground mining method is categorized as unsupported?

    <p>Longwall mining</p> Signup and view all the answers

    What primarily dictates the economic cut-off grade in mining?

    <p>Cost-effectiveness analysis</p> Signup and view all the answers

    Which of the following mining methods is considered artificially supported?

    <p>Shrinkage mining</p> Signup and view all the answers

    In the context of mining, optimizing process plant and recoveries mainly involves...

    <p>Maximizing ore extraction rates</p> Signup and view all the answers

    What is a significant characteristic of block caving as a mining method?

    <p>It involves high tonnage from a massive weak ore body.</p> Signup and view all the answers

    Sub-level open stoping mining requires which of the following conditions?

    <p>A competent rock mass to reduce dilution.</p> Signup and view all the answers

    Which method is suitable for tabular orebodies with a dip less than 30°?

    <p>Drift and fill mining.</p> Signup and view all the answers

    What role does broken rock play in shrinkage stoping?

    <p>It acts as a working platform to support the excavation walls.</p> Signup and view all the answers

    What is a necessary condition for successful sub-level caving?

    <p>Ample rock stability to keep sub-level drifts open.</p> Signup and view all the answers

    Study Notes

    Hydraulic Radius Definition

    • Hydraulic radius (HR) is a measure used in hydraulics and related fields.
    • It describes the relationship between the cross-sectional area of flow and the wetted perimeter of a channel or conduit.
    • It is specifically defined as the ratio of the cross-sectional area of flow to the wetted perimeter.

    Formula

    • The formula for calculating hydraulic radius is: HR = Area / Perimeter
    • Where:
      • HR is the hydraulic radius
      • Area is the cross-sectional area of the flowing fluid
      • Perimeter is the wetted perimeter of the channel or conduit.

    Application in Geotechnical Engineering (Cave-in)

    • The provided text incorrectly implies that hydraulic radius is a point where rock caves in. This interpretation is not accurate.

    • The concept of hydraulic radius, in a geotechnical engineering context of rock stability, is not directly about the point of cave-in. Hydraulic radius calculations are more commonly applied to the analysis of flow in open channels and conduits.

    • Cave-ins are determined by different factors like:

      • Rock type and strength
      • Geometry and orientation of the rock mass.
      • Stress conditions (in situ stress, excavation stress).
      • Support systems (presence and type of shoring).
      • The presence and geometry of any fractures or discontinuities in the rock.
      • The total weight of the overlying material, which puts downward stress on the rock mass.
    • While the relationship between water flow and rock stability can exist, it's not directly described by the hydraulic radius.

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    Description

    This quiz explores the definition and formula for hydraulic radius, a critical concept in hydraulics. It emphasizes the relationship between the cross-sectional area of flow and the wetted perimeter, as well as its applications, particularly in geotechnical engineering. Test your understanding of this essential hydraulic concept!

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