Hydraulic Diameter Explained: 4.4 vs 4.5

In summary, the author consistently defines the hydraulic radius as the area divided by the wetted perimeter and the equivalent diameter as four times the hydraulic radius. However, in section 4.5, the author mistakenly uses the subscript "H" when referring to the radius of the cylinder, when it should just be "R." This results in an incorrect value for the hydraulic radius, which should be half the radius of the cylinder.
  • #1
foo9008
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4

Homework Statement


why in 4.4 the author gave D =4Rh? in 4.5, D= 2Rh ?

Homework Equations

The Attempt at a Solution

 

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  • #2
In some developments, the hydraulic radius is defined as the area divided by the wetted perimeter. Get used to the idea.
 
  • #3
Chestermiller said:
In some developments, the hydraulic radius is defined as the area divided by the wetted perimeter. Get used to the idea.
why in 4.4 the author gave D =4Rh? in 4.5, D= 2Rh ? can you explain?
 
  • #4
foo9008 said:
why in 4.4 the author gave D =4Rh? in 4.5, D= 2Rh ? can you explain?
Yes. He is consistent in defining the hydraulic radius as S/Lp, and the equivalent diameter as 4S/Lp. However, in 4.5, he makes the mistake of calling the radius of the cylinder RH. The term in brackets should not have a subscript H. It should just have an R. And, for a cylinder, RH=R/2.
 

FAQ: Hydraulic Diameter Explained: 4.4 vs 4.5

1) What is hydraulic diameter and why is it important?

Hydraulic diameter is a measure of the equivalent internal diameter of a non-circular conduit, and it is important because it allows for comparisons between different shapes and sizes of channels in fluid flow systems.

2) How is hydraulic diameter calculated?

Hydraulic diameter is calculated by dividing four times the cross-sectional area of a channel by its wetted perimeter.

3) What is the difference between 4.4 and 4.5 hydraulic diameter?

The difference between 4.4 and 4.5 hydraulic diameter is the shape of the channel. A 4.4 hydraulic diameter would refer to a circular channel, while a 4.5 hydraulic diameter would refer to a non-circular channel.

4) How does hydraulic diameter affect fluid flow?

Hydraulic diameter affects fluid flow by determining the resistance to flow in a channel. A larger hydraulic diameter will result in lower resistance and therefore a higher flow rate, while a smaller hydraulic diameter will result in higher resistance and a lower flow rate.

5) How is hydraulic diameter used in engineering applications?

Hydraulic diameter is used in engineering applications to calculate pressure drop, flow rate, and other important parameters in fluid flow systems. It is also used to determine the most efficient channel shape for a given flow rate and pressure drop.

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