Fatih ERTÜRK
2230142
Mine-310 - HW6
𝐹𝑒𝑒𝑑 = 750 𝑡𝑝ℎ, 𝑆𝑜𝑙𝑖𝑑 𝑑𝑒𝑛𝑠𝑖𝑡𝑦 = 3.2𝑔/𝑐𝑚3 , 𝑊𝑎𝑡𝑒𝑟 𝑑𝑒𝑛𝑠𝑖𝑡𝑦 = 1.0𝑔/𝑐𝑚3 , 𝐻0 = 100𝑐𝑚
𝐹𝑙𝑜𝑡𝑎𝑡𝑖𝑜𝑛 𝑡𝑎𝑖𝑙𝑖𝑛𝑔 𝑑𝑒𝑛𝑠𝑖𝑡𝑦 = 1.20𝑔/𝑐𝑚3 ,
𝑇ℎ𝑖𝑐𝑘𝑒𝑛𝑒𝑑 𝑠𝑙𝑢𝑟𝑟𝑦 𝑑𝑒𝑛𝑠𝑖𝑡𝑦 = 1.62 𝑔/𝑐𝑚3
(3.2𝑔/𝑐𝑚3 ∗ 𝑥1 ) + (100 − 𝑥1 )
1.20𝑔/𝑐𝑚 =
,
100
3
𝐶0 =
3.2𝑔
3
)
𝑐𝑚3 ∗ (1000𝑐𝑚 ) = 290.91 𝑔/𝑙𝑡
100
𝑙𝑖𝑡𝑒𝑟
(9.091 𝑐𝑚3 ∗
1.62 =
𝐶𝑢 =
(Hu ∗ Cu ) = (H0 ∗ C0 ),
(3.2 ∗ 𝑥2 ) + (100 − 𝑥2 )
,
100
𝑥2 = 28.182 𝑐𝑚3
3.2𝑔
3
)
𝑐𝑚3 ∗ (1000𝑐𝑚 ) = 901.82 𝑔/𝑙𝑡
100
𝑙𝑖𝑡𝑒𝑟
(28.18 𝑐𝑚3 ∗
(Hu ∗ 901.82 𝑔/𝑙𝑡) = (100cm ∗ 290.91 𝑔/𝑙𝑡),
Time (Hour)
0
0.016666667
0.033333333
0.066666667
0.133333333
0.166666667
0.2
0.25
0.333333333
0.416666667
0.5
0.583333333
0.666666667
𝑥1 = 9.091 𝑐𝑚3
Height (m)
1
0.902
0.825
0.693
0.529
0.452
0.401
0.348
0.282
0.261
0.242
0.239
0.237
Hu = 32.26 cm
Fatih ERTÜRK
2230142
Mine-310 - HW6
INTERFACE HEIGHT VS TIME
100
Interface Height, cm
90
80
70
60
50
40
30
20
10
0
0
5
10
15
20
25
30
35
40
45
Time, minutes
By looking the graph, tu=14.5 min
tu taken from graph;
kg
h
(103 ) ∗ (14.5 min ∗
tu
60 min)
h
Area = W ∗
∗ 1.2 = 750 tph ∗
∗ 1.2 = 747.654 m2
290.91kg
H0 ∗ C0
1m∗
m3
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