Which of the following statements is correct as per Lacey's method for design of alluvial channels?

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BPSC AE Paper 6 (Civil) 11 Nov 2022 Official Paper
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  1. Hydraulic radius increases with an increase in silt factor.
  2. Wetted perimeter decreases with an increase in design discharge.
  3. Wetted perimeter increases with an increase in silt factor.
  4. Wetted perimeter increases with an increase in design discharge.

Answer (Detailed Solution Below)

Option 4 : Wetted perimeter increases with an increase in design discharge.
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Detailed Solution

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Concept:

Lacey gave three independent equation after intensive research in alluvium and gave the idea of regime.

The equations given by Lacey are:

As per lacey, the wetted perimeter P is given as 

P = 4.75 √Q

Hence the wetted perimeter of the alluvial channel increases with an increase in design discharge.

Important Point:

Difference between Lacey and Kennedy theory are:-

Lacey Theory

Kennedy’s Theory

Lacey considered a semi-elliptical section

Kennedy considered a trapezoidal section

Lacey considered boundary material and defined the silt factor

Kennedy did not give any importance to boundary material.

Lacey gave the equation for the bed slope

Kennedy didn’t give any such equation

This theory applies to both the alluvial canal and river

This theory applies to alluvial canal only

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