Question 4.6 Cooper Intro to Environmental Engineering

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Question 4.6 Tom Gaboian Width = 50 K = 8 Δt= 1 Length = 75 n = 1.5 t Q_in Q_out = K*(H_old-2)^n t < 0 0 3t 80-t 0 Start H_old Q_in Q_out Δt H_new End 0 0.00 0 0.00 1 0.00 1 1 0.00 3 0.00 1 0.05 2 2 0.05 6 0.00 1 0.14 3 3 0.14 9 0.00 1 0.29 4 4 0.29 12 0.00 1 0.48 5 5 0.48 15 0.00 1 0.72 6 6 0.72 18 0.00 1 1.01 7 7 1.01 21 0.00 1 1.34 8 8 1.34 24 0.00 1 1.73 9 9 1.73 27 0.00 1 2.16 10 10 2.16 30 0.51 1 2.63 11 11 2.63 33 4.02 1 3.10 12 12 3.10 36 9.17 1 3.52 13 13 3.52 39 15.06 1 3.91 14 14 3.91 42 21.08 1 4.24 15 15 4.24 45 26.86 1 4.53 16 16 4.53 48 32.24 1 4.78 17 17 4.78 51 37.18 1 5.01 18 18 5.01 54 41.69 1 5.20 19 19 5.20 57 45.86 1 5.38 20 20 5.38 60 49.74 1 5.55 21 21 5.55 59 53.40 1 5.63 22 22 5.63 58 55.44 1 5.68 23 23 5.68 57 56.38 1 5.69 24 24 5.69 56 56.61 1 5.68 25 25 5.68 55 56.38 1 5.65 26 26 5.65 54 55.88 1 5.62 27 27 5.62 53 55.19 1 5.59 28 28 5.59 52 54.39 1 5.55 29 29 5.55 51 53.52 1 5.51 30 30 5.51 50 52.61 1 5.47 31 31 5.47 49 51.68 1 5.43 32 H_new = H_old +Δt[60(Q_in-Q_out)/(L*W)] 0 < t < 2 20 < t < t > 80

Transcript of Question 4.6 Cooper Intro to Environmental Engineering

Page 1: Question 4.6 Cooper Intro to Environmental Engineering

Question 4.6 Tom GaboianWidth = 50 K = 8 Δt= 1Length = 75 n = 1.5

t Q_in Q_out = K*(H_old-2)^nt < 0 0

3t80-t0

Start H_old Q_in Q_out Δt H_new End0 0.00 0 0.00 1 0.00 11 0.00 3 0.00 1 0.05 22 0.05 6 0.00 1 0.14 33 0.14 9 0.00 1 0.29 44 0.29 12 0.00 1 0.48 55 0.48 15 0.00 1 0.72 66 0.72 18 0.00 1 1.01 77 1.01 21 0.00 1 1.34 88 1.34 24 0.00 1 1.73 99 1.73 27 0.00 1 2.16 10

10 2.16 30 0.51 1 2.63 1111 2.63 33 4.02 1 3.10 1212 3.10 36 9.17 1 3.52 1313 3.52 39 15.06 1 3.91 1414 3.91 42 21.08 1 4.24 1515 4.24 45 26.86 1 4.53 1616 4.53 48 32.24 1 4.78 1717 4.78 51 37.18 1 5.01 1818 5.01 54 41.69 1 5.20 1919 5.20 57 45.86 1 5.38 2020 5.38 60 49.74 1 5.55 2121 5.55 59 53.40 1 5.63 2222 5.63 58 55.44 1 5.68 2323 5.68 57 56.38 1 5.69 2424 5.69 56 56.61 1 5.68 2525 5.68 55 56.38 1 5.65 2626 5.65 54 55.88 1 5.62 2727 5.62 53 55.19 1 5.59 2828 5.59 52 54.39 1 5.55 2929 5.55 51 53.52 1 5.51 3030 5.51 50 52.61 1 5.47 3131 5.47 49 51.68 1 5.43 32

H_new = H_old +Δt[60(Q_in-Q_out)/(L*W)]

0 < t < 2020 < t < 80t > 80

Page 2: Question 4.6 Cooper Intro to Environmental Engineering

32 5.43 48 50.72 1 5.38 3333 5.38 47 49.76 1 5.34 3434 5.34 46 48.79 1 5.29 3535 5.29 45 47.81 1 5.25 3636 5.25 44 46.84 1 5.20 3737 5.20 43 45.86 1 5.16 3838 5.16 42 44.88 1 5.11 3939 5.11 41 43.90 1 5.06 4040 5.06 40 42.92 1 5.02 4141 5.02 39 41.94 1 4.97 4242 4.97 38 40.97 1 4.92 4343 4.92 37 39.99 1 4.88 4444 4.88 36 39.01 1 4.83 4545 4.83 35 38.03 1 4.78 4646 4.78 34 37.06 1 4.73 4747 4.73 33 36.08 1 4.68 4848 4.68 32 35.11 1 4.63 4949 4.63 31 34.14 1 4.58 5050 4.58 30 33.16 1 4.53 5151 4.53 29 32.19 1 4.48 5252 4.48 28 31.22 1 4.43 5353 4.43 27 30.25 1 4.38 5454 4.38 26 29.29 1 4.32 5555 4.32 25 28.32 1 4.27 5656 4.27 24 27.35 1 4.22 5757 4.22 23 26.39 1 4.16 5858 4.16 22 25.43 1 4.11 5959 4.11 21 24.47 1 4.05 6060 4.05 20 23.51 1 4.00 6161 4.00 19 22.55 1 3.94 6262 3.94 18 21.59 1 3.88 6363 3.88 17 20.64 1 3.82 6464 3.82 16 19.69 1 3.76 6565 3.76 15 18.74 1 3.70 6666 3.70 14 17.79 1 3.64 6767 3.64 13 16.85 1 3.58 6868 3.58 12 15.91 1 3.52 6969 3.52 11 14.98 1 3.46 7070 3.46 10 14.05 1 3.39 7171 3.39 9 13.12 1 3.32 7272 3.32 8 12.20 1 3.26 7373 3.26 7 11.28 1 3.19 7474 3.19 6 10.37 1 3.12 7575 3.12 5 9.47 1 3.05 7676 3.05 4 8.58 1 2.97 77

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77 2.97 3 7.69 1 2.90 7878 2.90 2 6.82 1 2.82 7979 2.82 1 5.96 1 2.74 8080 2.74 0 5.12 1 2.66 8181 2.66 0 4.30 1 2.59 8282 2.59 0 3.64 1 2.53 8383 2.53 0 3.12 1 2.48 8484 2.48 0 2.69 1 2.44 8585 2.44 0 2.34 1 2.40 8686 2.40 0 2.05 1 2.37 8787 2.37 0 1.80 1 2.34 8888 2.34 0 1.60 1 2.32 8989 2.32 0 1.42 1 2.29 9090 2.29 0 1.27 1 2.27 9191 2.27 0 1.14 1 2.25 9292 2.25 0 1.03 1 2.24 9393 2.24 0 0.93 1 2.22 9494 2.22 0 0.84 1 2.21 9595 2.21 0 0.77 1 2.20 9696 2.20 0 0.70 1 2.19 9797 2.19 0 0.64 1 2.18 9898 2.18 0 0.59 1 2.17 9999 2.17 0 0.54 1 2.16 100

100 2.16 0 0.50 1 2.15 101101 2.15 0 0.46 1 2.14 102102 2.14 0 0.43 1 2.14 103103 2.14 0 0.40 1 2.13 104104 2.13 0 0.37 1 2.12 105105 2.12 0 0.35 1 2.12 106106 2.12 0 0.32 1 2.11 107107 2.11 0 0.30 1 2.11 108108 2.11 0 0.28 1 2.10 109109 2.10 0 0.27 1 2.10 110110 2.10 0 0.25 1 2.09 111111 2.09 0 0.23 1 2.09 112112 2.09 0 0.22 1 2.09 113113 2.09 0 0.21 1 2.08 114114 2.08 0 0.20 1 2.08 115115 2.08 0 0.19 1 2.08 116116 2.08 0 0.18 1 2.08 117117 2.08 0 0.17 1 2.07 118118 2.07 0 0.16 1 2.07 119119 2.07 0 0.15 1 2.07 120120 2.07 0 0.14 1 2.07 121121 2.07 0 0.13 1 2.06 122

Page 4: Question 4.6 Cooper Intro to Environmental Engineering

122 2.06 0 0.13 1 2.06 123123 2.06 0 0.12 1 2.06 124124 2.06 0 0.12 1 2.06 125125 2.06 0 0.11 1 2.06 126126 2.06 0 0.11 1 2.05 127127 2.05 0 0.10 1 2.05 128128 2.05 0 0.10 1 2.05 129129 2.05 0 0.09 1 2.05 130130 2.05 0 0.09 1 2.05 131131 2.05 0 0.08 1 2.05 132132 2.05 0 0.08 1 2.05 133133 2.05 0 0.08 1 2.04 134134 2.04 0 0.07 1 2.04 135135 2.04 0 0.07 1 2.04 136136 2.04 0 0.07 1 2.04 137137 2.04 0 0.07 1 2.04 138138 2.04 0 0.06 1 2.04 139139 2.04 0 0.06 1 2.04 140140 2.04 0 0.06 1 2.04 141141 2.04 0 0.06 1 2.04 142142 2.04 0 0.05 1 2.04 143143 2.04 0 0.05 1 2.03 144144 2.03 0 0.05 1 2.03 145145 2.03 0 0.05 1 2.03 146146 2.03 0 0.05 1 2.03 147147 2.03 0 0.05 1 2.03 148148 2.03 0 0.04 1 2.03 149149 2.03 0 0.04 1 2.03 150150 2.03 0 0.04 1 2.03 151151 2.03 0 0.04 1 2.03 152152 2.03 0 0.04 1 2.03 153153 2.03 0 0.04 1 2.03 154154 2.03 0 0.04 1 2.03 155155 2.03 0 0.03 1 2.03 156156 2.03 0 0.03 1 2.03 157157 2.03 0 0.03 1 2.03 158158 2.03 0 0.03 1 2.02 159159 2.02 0 0.03 1 2.02 160160 2.02 0 0.03 1 2.02 161161 2.02 0 0.03 1 2.02 162162 2.02 0 0.03 1 2.02 163163 2.02 0 0.03 1 2.02 164164 2.02 0 0.03 1 2.02 165165 2.02 0 0.03 1 2.02 166166 2.02 0 0.03 1 2.02 167

Page 5: Question 4.6 Cooper Intro to Environmental Engineering

167 2.02 0 0.02 1 2.02 168168 2.02 0 0.02 1 2.02 169169 2.02 0 0.02 1 2.02 170170 2.02 0 0.02 1 2.02 171171 2.02 0 0.02 1 2.02 172172 2.02 0 0.02 1 2.02 173173 2.02 0 0.02 1 2.02 174174 2.02 0 0.02 1 2.02 175175 2.02 0 0.02 1 2.02 176176 2.02 0 0.02 1 2.02 177177 2.02 0 0.02 1 2.02 178178 2.02 0 0.02 1 2.02 179179 2.02 0 0.02 1 2.02 180180 2.02 0 0.02 1 2.02 181181 2.02 0 0.02 1 2.02 182182 2.02 0 0.02 1 2.02 183183 2.02 0 0.02 1 2.02 184184 2.02 0 0.02 1 2.02 185185 2.02 0 0.02 1 2.02 186186 2.02 0 0.01 1 2.01 187187 2.01 0 0.01 1 2.01 188188 2.01 0 0.01 1 2.01 189189 2.01 0 0.01 1 2.01 190190 2.01 0 0.01 1 2.01 191191 2.01 0 0.01 1 2.01 192192 2.01 0 0.01 1 2.01 193193 2.01 0 0.01 1 2.01 194194 2.01 0 0.01 1 2.01 195195 2.01 0 0.01 1 2.01 196196 2.01 0 0.01 1 2.01 197197 2.01 0 0.01 1 2.01 198198 2.01 0 0.01 1 2.01 199199 2.01 0 0.01 1 2.01 200

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0 50 100 150 200 2500

10

20

30

40

50

60

70

Time, minutes

Flow

rate

, cfs

,or h

eigh

t, ft

Blue = Q_inRed = Q_outGreen = H_new

Based off this chart, the dimensions of the pond do not indicate a good design. The change in output is too steep.

Page 7: Question 4.6 Cooper Intro to Environmental Engineering

0 50 100 150 200 2500

10

20

30

40

50

60

70

Time, minutes

Flow

rate

, cfs

,or h

eigh

t, ft

Blue = Q_inRed = Q_outGreen = H_new

Based off this chart, the dimensions of the pond do not indicate a good design. The change in output is too steep.