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WATER JET CONFERENCE - Waterjet Technology Association

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(which are highly desirable in most mining situations), and low power pumps (within the<br />

constraints of the pressure requirements). The effect of the traverse velocity and the<br />

required depth-of-cut then allow a trade-off to be made which will minimize the specific<br />

energy. The specific energy for a kerf cut by a water jet is given by:<br />

⋅ ⋅a<br />

Ev =<br />

2 ⋅ V 3<br />

( 8Vt ⋅ w ⋅ Dk ⋅ gc )<br />

where<br />

ρ = density of fluid<br />

a = nozzle diameter<br />

V = jet velocity<br />

P = pressure<br />

Vt = traverse velocity<br />

Dk = depth-of-kerf-cut<br />

gc = gravitational acceleration<br />

w = width of slot (approximately 2 or 3 times a)<br />

The volumetric flow rate, Q. is:<br />

Q = C d*V*A<br />

where<br />

A = nozzle area<br />

Cd = discharge coefficient (approximately O.7)<br />

The pump power is<br />

H=Q*P.<br />

As the kerf depth, D k, increases, the required specific energy also increases.<br />

Apparently, viscous and frictional losses reduce the cutting efficiency as the depth-of-cut<br />

increases. It is extremely difficult to track a narrow slot on a vibrating, rotating drum to<br />

achieve a deeper kerf by using multiple passes. The solution appears to be to use multiple<br />

nozzles which are fixed together at a specific spacing and which are traversed<br />

simultaneously. This gives a result somewhat like the multiple pass (depending on the<br />

spacing) and yet allows relatively high traverse rates and tool speeds such as those<br />

associated with continuous miners.<br />

<strong>WATER</strong> <strong>JET</strong> CRACK EXTENSION<br />

Water jets may also be used in conjunction with mechanical tools by employing<br />

them slightly ahead of the tool (and aimed in the approximate direction of cut) to assist in<br />

forming chips. Hydraulic pressure entering the fracture can, if the pressure is high<br />

enough, cause the fracture to propagate. Factors which affect this mechanism are: (1)<br />

width of the existing fracture opening, (2) length of the existing fracture, and (3)<br />

roughness of the fracture surfaces. These determine, for a fixed jet placement, how much<br />

water enters the fracture and its dynamic pressure distribution within the fracture. This<br />

342

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