Brick Pressing Rate Calculations

=Introduction=

Under the assumption of incompressible flow and fixed hydrauilic cylinder volume, the brick pressing rate of The Liberator can be calculated for a given hydraulic flow rate. Let's take 25 gallons per minute for the design flow rate of The Liberator II Beta v2.0.

=The Liberator=

The Liberator uses a 5x8x2 inch cylinder (diameter x length x rod diameter) for pressing, and a 2.5x14x1.125" cylinder for the soil loading drawer.

The effective volumes for both cylinders differ. This is because the cylinder rod takes up some volume - thereby reducing effective volume and force for the contraction part of the stroke. The expansion part of the stroke uses the full cylinder volume.

Main Cylinder Volume, D= 5 inches, D_rod=2 inches

 * Cylinder volume (expansion volume) = 157 cu in
 * Rod volume = 25 cu in
 * Cylinder volume-rod volume (contraction volume) = 132 cu in
 * Volume filled for a complete cycle of the cylinder (expansion volume + contraction volume) = 289 cu in

Secondary Cylinder Volume, d=2.5 inches, d_rod=1.125 inches

 * Cylinder volume (expansion volume) = 69 cu in
 * Rod volume = 14 cu in
 * Cylinder volume-rod volume (contraction volume) = 55 cu in
 * Volume filled for a complete cycle of the cylinder (expansion volume + contraction volume) = 124 cu in

One complete cycle volume
One cycle volume = 413 cu in

1 gallon = 231 cu in

1 cycle = 1.8 gallons of fluid

=Pressing Rate Results=

The results above yield 14 brick per minute results.

We need to consider 10% inefficiency in the CEB hydraulic system (-1.4), intermittent operation of the soil grate shaker (-.5), and reduction of the main cylinder speed towards the end of the compression stroke (-1). This slowdown at the end of the compression stroke has been calculated as the condition where the last 1/2" of compression is slowed down by a factor of 4.

With these considerations, we obtain 11 bricks per minute for 4" thick bricks.

Similar calculations and reasoning for 2.5" thick bricks yield an overall results of 13 bricks per minute.