Chapter 1
Introduction
Over the years the author has sized many separators, for new installations, and performed trouble-shooting on failed situations. Most of the sizing was based on standard industry “K” or “C factor based formulas. Most were successful, 95% of the time, and a few were unsuccessful or hard to analyze. The source of the constants in the settling of particle sizing formula was hard to determine in some applications.
After the four-year stint with Perry Equipment Corporation, one of the leading filter separator manufacturers, the author has a better insight as to how the constants were determined. This interval provided experience with laser particle counters, which provided valuable information to the author.
As stated by industry-recognized specialist, such as Norman P. Lieberman, the principle formula for equipment sizing is
Va = C x ((rl - rv) /rv)^1/2. Eq. (26)
Or Va = K x ((rl - rv) /rl)^1/2
Va is the allowable settling velocity for a given size particle.
rl being the density of the liquid forming the droplet at operating conditions
rv is the density of the vapor providing the buoyancy and resistance to settling at operating conditions.
C is the settling constant for a given sized particle being considered and is given in ft/hr.
K is the settling constant for given sized particle being considered and is given in ft/sec
This is a relatively simple equation and is very successful in 95% of the sizing cases, as long as the proper “C or “K” factor is available. Herein lies the problem for the Engineer, which “C” or ”K” factor to use and how was it determined. Another problem is determining the particle size to be separated, and it’s relative “C” or “K” factor. Most published “C” and ”K” factors are based on 150-micron droplet sizes. In later chapters we will see that much smaller droplet sizes may dominate the droplet distribution.
In his book Norman P. Lieberman provides the following “K” values with characterization statements;
Without Demister With Demister
Minimum Entrainment 0.15 0.30
Moderate-pressure service
Minimum entrainment 0.10 0.20
High (100 + psi) H2 service
Moderate entrainment 0.25 0.45
Severe Entrainment 0.50 ___
De-entrainment of steam ___ 0.20
In another of his books Norman P. Lieberman states;
“Thousands of experiments have been run in the plant and laboratory to determine K values for different levels of entrainment. Here are the results:”
· K = < 0.15: very slight entrainment
· K = 0.23: normal to low entrainment
· K = 0.35: high entrainment
· K = > 0.50: very severe entrainment
Which he follows with the profound statement “I feel sure, dear reader, that you are objecting to my use of such terms as “slight” and “severe,” as these are qualitative Terms. Well, we do not know enough about entrainment to quantify it.”
He goes on further to say “All I am saying, is don’t take Eq. (26) or the tabulated K values as the ultimate truth.”
The Lieberman’s have produced very informative and useful books, but the statement above leaves one to wonder as to when a value of “K” or “C “, depending on the author’s interpretation of nomenclature, should be applied. They state precisely that the engineer needs to take more into consideration in designing a separator.
The intent of this book is to divulge more of the data and calculation methods to be used in defining droplet sizes, entrainment and separation quantities and to expose the reasons for the failure of a minority of separator designs.
We will attempt to do justice to the Lieberman’s statement. See Chapter 26 for a comparison of calculated versus proposed “K” and “C “ Values.