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chapter 4: temperature inside the landfill

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4.6 Volume of Waste Wetted<br />

Estimating <strong>the</strong> volume of <strong>the</strong> waste wetted from a liquid injection was ano<strong>the</strong>r objective<br />

of this study. The assumptions required were: (1) <strong>the</strong> injected water or leachate was at ambient<br />

<strong>temperature</strong>, (2) <strong>the</strong> injected liquid mixes instantly with <strong>the</strong> moisture present in <strong>the</strong> waste, and<br />

(3) initial moisture content and bulk density of <strong>the</strong> waste were assumed to be 0.23<br />

(Jonnalagadda, 2004) and 710 kg/m 3 (Jain, 2005) respectively.<br />

The liquid injected (leachate or groundwater) is assumed to be at ambient <strong>temperature</strong> T1<br />

while <strong>the</strong> volume injected is V1. The volume of moisture already present in <strong>the</strong> waste which is<br />

affected by <strong>the</strong> injection is V2 at <strong>temperature</strong> T2. The resulting <strong>temperature</strong> after mixing of V1<br />

and V2 is T3.<br />

The value of T3 can be found by <strong>the</strong> mixing equation 4-7:<br />

T<br />

V T + V T<br />

1 1 2 2<br />

3 = (4-7)<br />

V1<br />

+ V2<br />

By rearranging Equation 4-7, we get <strong>the</strong> equation 4-8 to calculate <strong>the</strong> value of V2, i.e.<br />

volume of moisture already present in <strong>the</strong> waste,<br />

V<br />

V ( T −T<br />

)<br />

1 3 1<br />

2 = (4-8)<br />

T2<br />

−T3<br />

Now, moisture content of <strong>the</strong> waste can be represented by <strong>the</strong> equation for moisture<br />

content of <strong>the</strong> waste, i.e.<br />

MC<br />

i<br />

50<br />

ρV2<br />

=<br />

ρV<br />

+ M<br />

2<br />

s<br />

(4-9)

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