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Q2 Z2,(Q2) Z2(Q2) - Institute for Water Resources - U.S. Army

Q2 Z2,(Q2) Z2(Q2) - Institute for Water Resources - U.S. Army

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the road-water route. In<br />

(24) C t ((X 0 - X 1 ) 2<br />

terms of<br />

1<br />

+Y 2 0 ) +<br />

DIAGRAM 10<br />

subject to the condition that X 0 - X 1<br />

(24)may be rewritten more simply:<br />

(25) CZ +CX +L: CZ<br />

ti wl<br />

diagram 7, the boundary equation is<br />

1<br />

L +CX+L=C(X 2 + Y 2 ) 2 +<br />

t wl w r0 0<br />

L<br />

r<br />

Cw I Y01<br />

2 2 2<br />

(C - C<br />

t w )<br />

X<br />

and X0 , Xi ! 0<br />

where.Z 0 represents the square root term on the right-hand-side of the equation,<br />

and is equal to the distance between the point xoyo and the origin;<br />

Z 1 represents the square root term on the left-hand-side and is equal to<br />

the distance between the point y o and the point X1 on the X axis;<br />

L =L+L- L<br />

t w r<br />

For points on the boundary closer and closer to the horizontal axis, Z 1<br />

point where<br />

- L +L -L<br />

L t w r<br />

(26) X = ----- =<br />

1 C - C C -c<br />

r w r w<br />

approaches zero, and Z<br />

o approaches X1 so that the boundary tends to the<br />

72

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