Dear Mohandes.

Have a look at:

https://www.horiba.com/fileadmin/upl...Guidebook.pdf

A mean particle size is normally the mass weighted average of a particle size distribution.

have a nice day ■

Dear Mohandes,

From:

You can derive a sieve analysis, whereby each sieve retains a fraction f(i) % of d(i)of the sample.

The mean particle diameter is then calculated as:

d(mean)=∑[f(i) % * d(i)] / (100%)

From this d(mean), and the product properties (Material density), a suspension velocity is derived.

For an air slide, the upward air velocity above the fabric must be higher than this suspension velocity.

Then the particles are separated in the air stream and lose their internal friction.

The required air pressure is the combination of all pressure drops plus the static height of the material times the fluidized density.

The material must be classified to the Geldart diagram A (aeratable)

For most materials, air slide designs are known and moreover a simple test can easily be arranged

by an air slide manufacturer.

Have a nice day ■

The difference in terms in the Glossary is that one description relates to the mean size of one particle according to the way that it is measured and the other term refers to the mean size of a mass of particles. For practical purposes, the dimension of interest depends on its relevance to the application. ■

I would suggest that with relation to the design of air slides, the 'particle size' measurement of interest should relate to the drag coefficient that determines its elutriation velocity. ■

Originally Posted by mohandes

So you mean we don't have a specific definition for the "mean particle diameter" in bulk material handling application?

The answer to your question is that there is not a unique definition for ‘Mean Particle Diameter’. There are many such values and interest in them varies according to how it will affect the behaviour of the particle(s) in given practical conditions.

I would approach this question on fundamental grounds. The expression ‘Mean diameter’ is imprecise as there are many ways to describe a ‘Mean’: - arithmetic, geometric, in terms of standard deviation, equivalent sphere, Sauter mean particle size and so on. As will be seen in the Glossary, there are also various ways to consider the ‘Diameter’ of a particle. In practice, therefore, interest in such a descriptive dimension is relative to a specific factor of significance.

This first means that it should be made clear whether the description applies to a single particle or is taken to represent the ‘average’ value of a collection of particles.

The second step is to consider the relevance of this ‘mean’ value to the particular process condition under consideration. i.e. what is the dimensional feature of prime interest?. Assessing the results of sieving, segregation or fluidisation may each involve different behaviour to that in a pneumatic conveying system. This situation emphasises the need for understanding the basic principles involved before applying some published factor or formula to a practical application as guidance seems to be lacking on the selection of a particular way of defining the ‘Mean particle Diameter’, or perhaps the more common ‘Mean particle Size’, relevant to a given use of the bulk material. ■

Dear Mohandes,

Mean particle size is indeed related to the specific purpose where it is used for.

A pneumatic conveying calculation of a product, consisting of a variety of particle sizes, which interact in collisions and thereby exchanging kinetic energy until the overall material velocity is equal.

The assumption here is that the various particle size fractions are accelerated and have acquired the corresponding kinetic energies and that afterwards, through collisions, the kinetic energy is spread over the particle size fractions, resulting in an equal vparticles=vproduct

This results in:

size(particle-kineticmean )=√(1/(∑1 to n (Fractionn/(sizeparticlen)^2 )))

For a mean particle size, related to the suspension velocity:

size(particlesuspensionmean )=∑1 to n (Fractionn*√(sizeparticlen ))^2

Here, the total energy to keep the collection of particles in suspension is equal to the energy to keep a collection of a uniform particle size of size(particlesuspensionmean ) in suspension.

A particle size based on particle surface is relevant for chemical reactions.

In the cement industry is the Blain Number used.

particle size =(20303/Blaine)^2 in micron

Have a nice day ■

There are many different models of treatment equipment, just like the battery industry, with a variety of different battery classifications  https://www.accord-power.com

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