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The Importance of knowing Terminal Velocity in Baghouse Design

 


There are four groups of variables that influence dust collector performance. They are variables regarding:

1.      dust,

2.      fluid,

3.      operation,

4.      Dust Collector.

Variables regarding dust are size, shape, density of dust particles, and agglomerating tendency

Variables regarding fluid are density and viscosity. These are functions of air or gas composition, temperature, and barometric pressure.

The effect of dust and fluid variables can be simplified by using the terminal velocity theory. Terminal settling velocity, commonly called terminal velocity or "settling velocity”, is the velocity of a particle, falling in still air or another fluid, after it stops accelerating. So it is clearly determined by dust and fluid’s properties.

Variables regarding operation are gas velocity through the collector, or capacity in cubic feet per minute, and dust loading, generally expressed in grains of dust per cubic foot of gas.

There are an infinite number of collector variables.

With a collector of a given design, the cumulative effect of all these groups determines the shape of the fractional efficiency curve.

Interstitial Velocity and Can Velocity

When sizing a pulse-jet dust collector, it is important to consider not just air-to-cloth ratio (Filtration Velocity) but also upward velocities, interstitial velocity and can velocity.

Upward velocity occurs when a hopper inlet is used on a pulse-jet or a reverse-air baghouse. Dusty air is introduced into the hopper and travels upward into the filter housing where cleaned gas passes through the filter bags and dust is deposited on the exterior of the bags.  

Can velocity is the vertical flow velocity above the hopper level, but before reaching the bottom of the bags.

Can velocity is commonly confused with interstitial velocity, and with good reason. These are practically the same when the filter bags extend down to the hopper level.

Interstitial velocity is defined as the upward velocity of air through the open area between the filter bags inside a dust collector. Interstitial velocity changes in value from its maximum at the bottom of the bags to zero just below the tube sheet.

The Importance of Terminal Velocity

If a particle’s falling velocity is zero at the position of maximum interstitial velocity, then it will become suspended there.

Theoretically, we can assume the falling velocity of a particle or an agglomerate of particles to be the sum of the terminal velocity and the interstitial velocity. So, at this position, if a particle’s falling velocity is zero, then the particle’s terminal velocity is equal to the interstitial velocity.

 Any particle that has a terminal velocity bigger than the maximum interstitial velocity will overcome the maximum buoyancy at this position and fall into the hopper, while any particle that has a terminal velocity less than the maximum interstitial velocity will be re-entrained by the upward flow and carried back to the bag surface. The results can be a high pressure drop, excessive use of compressed air, and shortened bag life.

We can also assume that a particle’s terminal velocity is unchanged in the distance of the whole bag length while the particle or agglomerate is falling down after being pulsed off the bag surface.

When a baghouse’s interstitial velocity is equal to some particle’s terminal velocity, the corresponding equivalent particle size can be calculated. Any particle that is bigger will overcome the maximum buoyancy at this position and fall into the hopper. Any particle that is smaller than this size will be re-entrained by the upward flow and carried back to the bag surface.

At the same time, any dust particle carried by the upward air flow from the hopper and with terminal velocity bigger than can velocity may not reach the bag surface and fall out into the hopper without filtration. The critical diameter of the particle whose terminal velocity equals to the can velocity can be calculated as well.

As long as the particle size distribution of the dust is known, then the weight of the dust that can reach the bag surface can be estimated. Afterwards, whether a pre-cleaner is needed ahead of a baghouse can be decided. Note: The choice of whether a pre-cleaner is needed is decided by how much dust will settle on the surface of the bags, not by the inlet dust loading.

Having dead space under the bag array provides a low can velocity, creating an internal dropout chamber that helps distribute and minimize horizontal flows that can cause abrasion problems at the bottom of the bags.

This is the reason why interstitial velocity and can velocity are so important in baghouse design. They are implicitly related to particles’ terminal velocity.

How to Obtain Terminal Velocity

Terminal velocity in air can be determined directly by air elutriation, or similar methods, such as using the Roller Elutriator, or the Bahco Micro Particle Classifier.

If experimental data is somehow not available, then we have to use an empirical formula to estimate the terminal velocity of a particle or an agglomerate of particles. When dust is pulsed off the bag surface, they are normally agglomerates of particles.

What Airvate Can Help

 If you need to know the terminal velocity for your dust in an application, dust collection or pneumatic conveying, please contact Airvate through email.  Airvate knows how to either estimate or precisely calculate it. After so many years in baghouse design and calculation, Airvate has accumulated a lot of terminal velocity data for different kinds of particles in air.

If you need transport velocity, saltation velocity, and pickup velocity in an application, dust collection or pneumatic conveying, please contact Airvate too through email.

Field Measurement Services Airvate Can Do

If your baghouse or cartridge filter has a performance problem, Airvate can do some measurements and calculations, the result will definitely help to find the root-cause of the problem. “Measurement facilitates root-cause analysis that leads to solutions of problems,” so told us by the quality guru from the 20th century, W. Edwards Deming.

 


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