10 07 29 Master thesis Juliana Leon - e-Waste. This guide
10 07 29 Master thesis Juliana Leon - e-Waste. This guide
10 07 29 Master thesis Juliana Leon - e-Waste. This guide
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where:<br />
i=1,…,n as the index for flows<br />
j=1,…,p as the index for materials<br />
k=1,…,q as the index for goods<br />
We can then sum the different aggregated material flows to obtain the total flow<br />
rates.<br />
p<br />
F ˙<br />
i<br />
= ∑ M ˙<br />
ij<br />
(8)<br />
j =1<br />
Table 8 shows how data is managed during the course of the MFA in order to<br />
consider for € each flow the different materials resulting from each good. A tool<br />
including a dynamic spreadsheet was implemented using Microsoft Excel ® that has<br />
also been used as modelling software. The m ˙ -matrix has to be filled for each good,<br />
in this case for CPUs, laptops, CRT- and LCD-monitors. Although it is possible to<br />
calculate the flows of these goods ( G ˙ ) for the generation, use, and collection phases,<br />
!<br />
it does not make sense to do it for the recycling or disposal phases as entire goods<br />
do not physically exist any € more and their forming materials are dispersed in a<br />
different manner in the system processes.<br />
Table 8: Data spreadsheet for an MFA with n flows and p materials. The<br />
filled for each good.<br />
˙ m<br />
matrix has to be<br />
€<br />
€<br />
€<br />
€<br />
€<br />
Total<br />
flow rate<br />
(tons/year)<br />
˙ F 1<br />
˙ F 2<br />
˙<br />
€<br />
<br />
€<br />
˙<br />
€<br />
F 3<br />
F n<br />
€<br />
€<br />
€<br />
Material flow rate from good G k<br />
k<br />
m ˙ 11<br />
j<br />
m ˙ 21<br />
k<br />
m ˙ 12<br />
j<br />
m ˙ 22<br />
j<br />
m ˙ 31<br />
€<br />
<br />
€<br />
j<br />
m ˙ n1<br />
˙<br />
€<br />
j<br />
m ˙ 32<br />
(tons/year)<br />
€<br />
j<br />
€<br />
€<br />
€<br />
€<br />
m n 2<br />
k<br />
m ˙ 13<br />
j<br />
m ˙ 23<br />
j<br />
˙<br />
€<br />
<br />
€<br />
j<br />
˙<br />
€<br />
m 33<br />
m n 3<br />
<br />
<br />
<br />
€<br />
<br />
€<br />
<br />
€<br />
k<br />
m ˙ 1p<br />
j<br />
m ˙ 2 p<br />
˙<br />
j<br />
m 3 p<br />
<br />
˙<br />
€<br />
€<br />
k<br />
m np<br />
€<br />
Aggregated Material flow rate<br />
˙ M 11<br />
˙ M 21<br />
˙<br />
M 31<br />
<br />
˙<br />
M n1<br />
€<br />
€<br />
€<br />
˙ M 12<br />
˙ M 22<br />
˙ M 32<br />
(tons/year)<br />
€<br />
€<br />
€<br />
€<br />
€<br />
˙ M 13<br />
˙ M 23<br />
˙<br />
€<br />
<br />
€<br />
˙<br />
€<br />
M 33<br />
<br />
<br />
<br />
<br />
<br />
€<br />
€<br />
€<br />
˙ M 1p<br />
˙ M 2p<br />
˙<br />
€<br />
<br />
˙ €<br />
€<br />
M 3p<br />
Material concentration in<br />
c 11<br />
c 21<br />
c 31<br />
€<br />
<br />
€<br />
€<br />
the total flow (kg/tons)<br />
€ € € € € € € € € € € €<br />
€ In this € case, € concentrations € € of materials € € in the total € flows € (c) are € unknown, € but € can be<br />
calculated once the aggregated material flow ( M ˙ ) and the total flow ( F ˙ ) are known.<br />
<br />
˙<br />
M n 2<br />
M n 3<br />
!<br />
M np<br />
c n1<br />
c 12<br />
c 22<br />
c 32<br />
€ <br />
€<br />
€<br />
€<br />
€<br />
c n 2<br />
c 13<br />
c 23<br />
c 33<br />
€<br />
<br />
€<br />
c n 3<br />
€<br />
<br />
<br />
<br />
<br />
<br />
c 1p<br />
c 2 p<br />
c 3 p<br />
<br />
c np<br />
€<br />
17<br />
€