With most processes in the mill,
one can take direct measurements (length, thickness, width, speed, etc.) and actually see
the results as they occur. In the kiln, this is not possible. There are, however,
many useful "rules of thumb" for estimating the effects of different variables
involved in drying wood. Since drying proceeds in a hot dry kiln according to the laws of
physics, you have to use "analogs" to estimate how well and how fast the process
is proceeding. |
| Estimating the
drying rate Everyone wants to know "how
fast is the wood drying?" There are various methods for computing the answer. Temperature
drop across the load ( ) is a particularly useful for estimating the progress of
the whole kiln charge. Although it doesn't tell much at all about moisture distribution or
the remaining moisture content in individual boards there are other analogs available for
developing those estimations.
The basic "Rule of Thumb" here is:
- One degree (Fahrenheit) of
will
correspond to the absorption of one pound of moisture into 63,000 cubic feet
(ft³) of air circulating through the stacks of wood in the kiln.
This is useful in several ways:
- If you know the
across the load and the
volume of air moving through the lumber stacks, you can readily calculate the drying
rate.
- If you already know the approximate drying rate and the
across the load, you can "back calculate" the effective volume of air moving
through the lumber stacks which will in turn allow you to calculate the air velocity
through the sticker openings.
- If you know the
across the load and the
approximate volume of air moving through the lumber stacks, you can calculate what the
should be to check for possible saturation problems.
Example
Consider the typical situation in a kiln drying 50,000
board feet of oak lumber. We know that we want to achieve an average drying rate of 2%
per day and that we want to make sure the across the load
does not exceed 2º F. What air velocity through the load will achieve this?
Presuming oak has a specific gravity of 0.56, the
"bone dry", or "basis" weight of the lumber is calculated to be
145,600 pounds. A drying rate of 2% per day would be 2,912 pounds per day or just over 2
pounds of moisture per minute. Since the "rule of thumb" states that 63,000 ft³
absorbing 1 lb. of moisture creates a 1º F. , absorbing 2 lbs. in this
case would result in a of 2º F.
To calculate air velocity one must remember the simple
formula:
velocity (ft/min) = volume (ft³/min) / area (ft²).
Calculating the area of Sticker Openings
The area we are looking for is the actual area of the
sticker openings. There are two ways to do this: (a.) the rigorous method
and (b.) the shortcut method.
Rigorous method: first the sticker and
bolster opening areas have to be calculated and then the area represented by the stickers
and bolsters have to be subtracted to arrive at a net area:
For this example we will presume the total lumber length to
be 24' comprised of three 8' long packages, each package having 26 layers of 4/4 lumber
separated by ¾" thick by 1 ½ " wide stickers on 2' centers. The packages are
stacked 4 high separated by 4" x 4" bolsters.
The total sticker area, therefore, is 25 openings x
¾" (0.0625') x 4 packs high x 24' long = 150 ft². The total bolster area is 4"
x 4" (0.33') x 24' long = 32 ft². Aggregate total opening area is 182 ft².
There will be 5 stickers across in each package x 25
openings high x 12 packages = 1,500 stickers, each with an area of 0.75" x 1.5"
/ 144 in²/ft² = 11.72 ft². There are also 5 bolsters across x 12 packages, each with an
area of 4" x 4" ) 144 in²/ft² = 6.67 ft². Aggregate total blocked space is
18.39 ft².
By the rigorous method the net sticker opening area
is therefore 163.61 ft².
Shortcut method: uses the number of layers
per package instead of the number of openings per package to approximate
the effect of the larger bolster openings and the blocking effect of the stickers and
bolsters.
Using the shortcut method, 26 layers x
¾" (0.0625') x 4 packs high x 24' long = 156 ft² net sticker opening.
Since the difference between the two calculations is only
about 4%, the shortcut method is the one usually used.
Now that we have volume and area, the required air velocity
can be calculated as:
63,000 ft³/min / 156 ft² = 404 ft/min.
A word of caution
We generally consider that even in a well loaded, well
baffled kiln, only about half the air volume produced by the fans actually ends
up traveling through the sticker openings. Therefore, to the stated air velocity, the
volume produced by the fans should be about twice as much: 126,000 ft³/min.
Once the basic calculations are done for a particular
scenario, scaling up and down is completely linear. At 200 ft/min, for example, the )T
would be approximately 4º F. which would be perfectly acceptable in the later stages of
drying when the temperature and wet bulb depression are both quite high. This is one of
the reasons why it is possible to save lots of energy by reducing fan speed and
output using variable frequency drives - the next subject. |
| Variable frequency
drives (fan speed controllers)- why they pay for themselves so quickly Over the last ten years the use of variable frequency (VF)
drives has become nearly universal in new kilns for one simple reason: when used
effectively, they can pay for themselves in as little as one year and seldom more than
two!
How and why they work:
The speed of an alternating current (AC) induction motor is
fixed by the number of poles with which it is built and varies
according to the frequency of the alternating current. Normal frequency
in the United States is 60 cycles per second (60 Hertz). A two
pole motor, which will make one complete revolution during each cycle, will
therefore run at 60 revolutions per second or 3,600 revolutions
per minute (rpm) when running on 60 Hertz AC power. This is
called the synchronous speed of the motor. The actual
speed is slightly less because of slip by which torque is produced.
Similarly, a four pole motor will take two
cycles to make a complete revolution, so its synchronous speed
is 30 revolutions per second or 1,800 rpm; a six
pole motor takes three cycles, therefore 20 revolutions
per second or 1,200 rpm and so on.
When the frequency is changed using a VF
drive, the same rule applies. At 30 Hertz the speed is half, for example.
There is a set of "laws" in physics called the
"fan laws" which state the following:
- Output of a fan varies in direct
proportion to the speed of the fan. Doubling the speed of a fan will double the
output, usually measured as cubic feet per minute (cfm).
- Power required varies as the 3rd
power (cube) of the change in speed. If the speed is doubled, the power
needed is 2 x 2 x 2 = 8 times as much as before.
The fan laws work in both directions. If the speed is cut
in half, so is the output, but the power
is reduced to ½ x ½ x ½ = 1/8 of its original value!
In most cases, during the last 1/3 of drying, below fiber
saturation and when the temperature is highest and relative humidity lowest, it is
possible to reduce airflow by some amount without affecting the drying time or quality. To
the extent this can be done, power savings can be enormous!
Other benefits of VF drives are:
- they are current limited to maximum running
current of the motors, so "soft starting" is an inherent feature, avoiding the
normal 300% starting current of "across the line" starting.
- they automatically correct power
factor to near unity, improving the energy efficiency of your plant.
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