Calculating equivalent length of expansion/contraction from K value

In summary, when calculating the equivalent length for a sudden expansion or contraction in a pipe, the diameter of the larger pipe and the friction factor of the smaller pipe are typically used. If the pipes have similar properties, the average friction factor can be used.
  • #1
cjc0117
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If you know the resistance coefficient, K, for a sudden expansion or contraction in a pipe, how can you calculate the equivalent length, Le from the K value?

I know that for fittings, Le=KD/f, where D is the diameter and f is the Darcy friction factor. But when considering a contraction or expansion with a known K value, should you use the diameter of the larger or smaller pipe when calculating Le? And which pipe's friction factor should be used? Do you use averages, perhaps? Thanks
 
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  • #2
.For a sudden expansion or contraction, the equivalent length is usually calculated using the diameter of the larger pipe and the friction factor of the smaller pipe. This is because the larger pipe's diameter affects the pressure drop more than the smaller one does. The average friction factor can be used if the two pipes have similar properties.
 

1. What is the purpose of calculating the equivalent length of expansion/contraction from K value?

The purpose of calculating the equivalent length of expansion/contraction from K value is to determine the length of a straight pipe that would produce the same pressure drop as the actual expansion or contraction in a piping system. This allows for more accurate predictions of fluid flow and pressure in the system.

2. How is the K value determined?

The K value is determined experimentally by measuring the pressure drop across a test section of pipe with known dimensions and fittings at different flow rates. The ratio of the pressure drop to the velocity head is then calculated to obtain the K value.

3. What factors affect the value of K?

The value of K is affected by the shape and dimensions of the expansion or contraction, the velocity of the fluid, and the fluid properties such as density and viscosity. Additionally, the type and number of fittings in the piping system can also impact the K value.

4. How do you calculate the equivalent length of expansion/contraction from the K value?

The equivalent length of expansion/contraction can be calculated by dividing the K value by the friction factor of the pipe and multiplying it by the pipe diameter. The resulting value is then multiplied by the length of the expansion or contraction to obtain the equivalent length.

5. Can the equivalent length of expansion/contraction be negative?

Yes, the equivalent length of expansion/contraction can be negative if the K value is negative. This indicates that the expansion or contraction will actually reduce the pressure drop in the piping system, and the equivalent length should be subtracted from the total length of the pipe in calculations.

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