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102 | P a g e
4.2.1 Biological and Microbiological kinetics of Bio diesel wastewater by using Bio carriers (MBBR media) at an operation
time of 30 min (COD)
days influant Ci effluant Ceff Ci-Ceff ln(Ceff/Ci) TVS ,X(m.o) accumilated X u U HRT effluant (MB) 1st order cstr eff
1 1180 1107 73 0.0638608 50.0307692 50.03076923 2 2.92 0.95 1095.763162 1112.506725
2 1210 1003 207 0.1876249 102.388571 152.4193407 1.011 2.04 0.98 1037.112807 1022.069648
3 1166 900 266 0.2589396 132.521045 284.9403854 0.606 1.22 0.96 942.6604619 933.8593555
4 1195 871 324 0.3162595 156.420155 441.3605405 0.431 0.89 1 930.3736771 907.8756973
5 1239 841 398 0.3874682 177.889326 619.2498667 0.335 0.75 0.98 938.6267668 898.0090353
6 1225 752 473 0.4879598 213.029851 832.2797175 0.294 0.65 1.02 863.9160331 817.9104385
7 1187 642 545 0.6145961 253.198346 1085.478063 0.264 0.57 1 758.6476102 735.1683846
8 1224 557 667 0.7873142 302.294222 1387.772286 0.244 0.54 1.05 710.1507135 670.0681258
9 1127 399 728 1.0383531 328.08179 1715.854076 0.211 0.47 1 571.9623342 552.8973374
10 1236 412 824 1.0986123 371.087665 2086.941741 0.195 0.43 1.05 605.2134424 573.9379504
11 1190 363 827 1.1873058 356.616794 2443.558534 0.157 0.37 1.02 585.5372633 538.2053754
12 1089 333 756 1.1848726 348.541791 2792.100325 0.133 0.29 0.98 500.4732634 503.8925164
13 1248 377 871 1.1970524 419.284211 3211.384536 0.14 0.29 1.05 535.2874287 552.9696692
14 1132 348 784 1.1795388 406.54375 3617.928286 0.119 0.23 1.05 440.9440667 505.6922276
103 | P a g e
y = 0.6534x - 0.1054R = 0.9668
0
0.5
1
1.5
2
2.5
0 1 2 3 4
U
Kd
Kd
Linear (Kd)
0
200
400
600
800
1000
1200
0 5 1 0 1 5
EFFL
UA
NT
CO
D
TIME
KINETICS COMPARISION
actual effluant calculated microbiological 1st order cstr
Plot of specific growth rate () with specific substrate utilization
(U) for Bio carriers (MBBR media) at an operation time of 30
minutes
Biological and microbiological kinetics of COD removal in Bio
diesel wastewater by using Bio carriers (MBBR) at an operation
time of 30 minutes
104 | P a g e
4.2.2 Biological and Microbiological kinetics of Bio diesel wastewater by using Bio carriers (MBBR media) at an operation
time of 60 min(COD)
days influant Ci effluant Ceff Ci-Ceff ln(Ceff/Ci) TVS,X(m.o) accumilated X u U HRT effluant (MB) 1st order cstr eff
1 1180 1077 103 0.091335 63.87692 63.8769231 2 3.22 0.95 1077.70344 1085.788031
2 1210 929 281 0.264267 140.5186 204.395495 1.05 2.09 0.98 966.2136 961.0942977
3 1166 856 310 0.309064 146.7603 351.155793 0.53 1.12 0.96 923.256963 899.2046835
4 1195 797 398 0.405047 195.0643 546.220134 0.43 0.89 1 881.943385 850.5054866
5 1239 767 472 0.479573 208.1391 754.359271 0.32 0.73 0.98 898.27478 842.8676823
6 1225 679 546 0.590075 248.6567 1003.01599 0.28 0.62 1.02 808.839198 764.7281195
7 1187 593 594 0.69399 290.0959 1293.11193 0.25 0.52 1 706.991883 700.7125208
8 1224 509 715 0.877431 332.8969 1626.00882 0.23 0.49 1.05 659.402965 637.0676504
9 1127 375 752 1.100388 347.8326 1973.84138 0.19 0.42 1 566.170917 536.5674047
10 1236 399 837 1.130674 402.4236 2376.26496 0.19 0.38 1.05 584.324445 565.1040223
11 1190 339 851 1.255708 380.3145 2756.57947 0.15 0.33 1.02 567.74218 521.7415746
12 1089 304 785 1.275987 351.4513 3108.03081 0.12 0.27 0.98 505.396727 483.8994192
13 1248 348 900 1.277095 420.9853 3529.01607 0.13 0.27 1.05 544.581765 533.1169374
105 | P a g e
y = 0.6078x - 0.0793R = 0.9854
0
0.5
1
1.5
2
2.5
0 1 2 3 4
U
Kd
Kd
Linear (Kd)
0
200
400
600
800
1000
1200
0 2 4 6 8 1 0 1 2 1 4
EFFL
UA
NT
CO
NC
ENTR
ATI
ON
TIME
KINETICS COMPARISION
actual effluant calculated microbiological
1st order cstr
Plot of specific growth rate () with specific substrate utilization
(U) for Bio carriers (MBBR media) at an operation time of 60
minutes
Biological and microbiological kinetics of COD removal in Bio
diesel wastewater by using Bio carriers (MBBR) at an operation
time of 60 minutes
106 | P a g e
4.2.3 Biological and Microbiological kinetics of Bio diesel wastewater by using Bio carriers (MBBR media) at an operation
time of 90 min(COD)
days influant Ci effluant Ceff Ci-Ceff ln(Ceff/Ci) TVS,X(m.o) accumilated X u U HRT effluant (MB) 1st order cstr eff
1 1180 1047 133 0.119586 72.27692 72.27692308 2 3.68 0.95 1040.709115 1059.620508
2 1210 900 310 0.295981 148.0029 220.2797802 1.01 2.12 0.98 924.4305042 937.9399565
3 1166 826 340 0.34474 165.1031 385.3829145 0.55 1.12 0.96 847.6892392 876.0659616
4 1195 767 428 0.443415 208.5527 593.9356277 0.43 0.87 1 792.2801863 827.8979219
5 1239 738 501 0.518116 225.0586 818.9942197 0.32 0.71 0.98 804.7525141 821.7522335
6 1225 649.5 575.5 0.634493 260.9851 1079.979294 0.27 0.61 1.02 720.6314623 743.6938619
7 1187 569 618 0.735304 290.2093 1370.188618 0.24 0.5 1 626.5995007 684.0300184
8 1224 485 739 0.925731 332.6942 1702.88284 0.22 0.48 1.05 580.283256 620.6842727
9 1127 351.5 775.5 1.165105 357.8056 2060.688395 0.19 0.41 1 436.0697097 520.5290749
10 1236 376 860 1.190046 406.881 2467.569388 0.18 0.38 1.05 448.7422403 549.4435103
11 1190 327 863 1.291748 391.691 2859.260381 0.15 0.32 1.02 433.0348237 513.4658837
12 1089 290.5 798.5 1.321412 365.6687 3224.929038 0.12 0.26 0.98 383.4473105 474.5132536
13 1248 334 914 1.318157 437.3895 3662.318511 0.13 0.27 1.05 401.7126013 523.4757956
107 | P a g e
y = 0.5393x - 0.0414R = 0.9958
0
0.5
1
1.5
2
2.5
0 1 2 3 4
U
Kd
Kd
Linear (Kd)
0
200
400
600
800
1000
1200
0 2 4 6 8 1 0 1 2 1 4
EFFL
UA
NT
CO
NC
ENTR
ATI
ON
TIME
KINETICS COMPARISION
actual effluant calculated microbiological 1st order cstr
Plot of specific growth rate () with specific substrate utilization
(U) for Bio carriers (MBBR media) at an operation time of 90
minutes
Biological and microbiological kinetics of COD removal in Bio
diesel wastewater by using Bio carriers (MBBR) at an operation
time of 90 minutes
108 | P a g e
4.2.4 Biological and Microbiological kinetics of Bio diesel wastewater by using Bio carriers (MBBR media) at an operation
time of 30 min (BOD)
days influant Ci effluant Ceff bod consumed ln(Ceff/Ci) TVS.X(m.o) accumilated X u U HRT effluant (MB) 1st order cstr eff
1 708 642.96 65.04 0.096362 50.03077 50.03076923 2 2.6 0.95 641.878022 648.6227983
2 750.2 606.856 143.344 0.212048 102.3886 152.4193407 1.011 1.416 0.98 614.868432 621.1255509
3 687.94 510.3618 177.5782 0.298582 132.521 284.9403854 0.606 0.812 0.96 512.791469 534.6801113
4 693.1 491.318 201.782 0.344083 156.4202 441.3605405 0.431 0.556 1 486.340096 515.6676694
5 669.06 434.0682 234.9918 0.432672 177.8893 619.2498667 0.335 0.443 0.98 433.935697 469.8393568
6 686 400.54 285.46 0.538064 213.0299 832.2797175 0.294 0.393 1.02 404.3952 442.9163269
7 688.46 351.7062 336.7538 0.671661 253.1983 1085.478063 0.264 0.351 1 353.776367 411.841862
8 697.68 289.5828 408.0972 0.879319 302.2942 1387.772286 0.244 0.33 1.05 298.040505 362.7543043
9 619.85 194.656 425.194 1.158244 328.0818 1715.854076 0.211 0.274 1 186.183638 287.2011276
10 667.44 189.108 478.332 1.261131 371.0877 2086.941741 0.195 0.252 1.05 176.854087 287.1712888
11 618.8 151.632 467.168 1.406326 356.6168 2443.558534 0.157 0.206 1.02 147.387189 254.1845044
12 588.06 121.014 467.046 1.580923 348.5418 2792.100325 0.133 0.178 0.98 127.376679 230.6746993
13 698.88 141.232 557.648 1.599075 419.2842 3211.384536 0.14 0.186 1.05 144.577212 260.8706479
14 656.56 136.184 520.376 1.573007 406.5438 3617.928286 0.119 0.152 1.05 119.100376 247.6036188
109 | P a g e
y = 0.7588x - 0.003R = 0.9986
0
0.5
1
1.5
2
2.5
0 1 2 3
U
Kd
Kd
Linear (Kd)
0
100
200
300
400
500
600
700
0 5 1 0 1 5
EFFL
UA
NT
CO
NC
ENTR
ATI
ON
TIME
KINETICS COMPARISION
actual effluant calculated microbiological
1st order cstr
Plot of specific growth rate () with specific substrate utilization
(U) for Bio carriers (MBBR media) at an operation time of 30
minutes
Biological and microbiological kinetics of BOD removal in Bio
diesel wastewater by using Bio carriers (MBBR) at an operation
time of 30 minutes
110 | P a g e
4.2.5 Biological and Microbiological kinetics of Bio diesel wastewater by using Bio carriers (MBBR media) at an operation
time of 60 min (BOD)
days influant Ci effluant Ceff bod consumed ln(Ceff/Ci) TVS,X(m.o) accumilated X u U HRT effluant (MB) 1st order cstr eff
1 708 624.96 83.04 0.124756 63.87692 63.87692308 2 2.6 0.95 623.5131898 632.9800729
2 750.2 553.474 196.726 0.304125 140.5186 204.3954945 1.0476 1.4666 0.98 564.3242198 577.9471518
3 687.94 491.2812 196.6588 0.336685 146.7603 351.155793 0.5283 0.708 0.96 493.8209174 519.8993906
4 693.1 441.467 251.633 0.451071 195.0643 546.2201341 0.4347 0.5608 1 435.0544366 477.6471943
5 669.06 394.1082 274.9518 0.529248 208.1391 754.3592711 0.3201 0.4228 0.98 393.7367876 440.5584872
6 686 352.8 333.2 0.664976 248.6567 1003.015988 0.283 0.3792 1.02 357.0361794 408.752833
7 688.46 302.6324 385.8276 0.821938 290.0959 1293.111927 0.2527 0.3361 1 304.6995965 377.8722806
8 697.68 248.2692 449.4108 1.033247 332.8969 1626.008816 0.2281 0.3079 1.05 257.2247188 334.6332702
9 619.85 169.059 450.791 1.29923 347.8326 1973.841378 0.1932 0.2504 1 159.7113152 269.5902838
10 667.44 148.716 518.724 1.501411 402.4236 2376.264962 0.185 0.2385 1.05 134.994072 259.0509472
11 618.8 120.588 498.212 1.635402 380.3145 2756.579466 0.1482 0.1941 1.02 115.6577 231.9244371
12 588.06 117.1152 470.9448 1.613671 351.4513 3108.030809 0.1199 0.1606 0.98 123.1656306 227.8068372
13 698.88 138.9696 559.9104 1.615224 420.9853 3529.016072 0.1269 0.1687 1.05 141.8751476 259.2299249
111 | P a g e
y = 0.7585x - 0.0034R = 0.9985
0
0.5
1
1.5
2
2.5
0 1 2 3
U
Kd
Kd
Linear (Kd)
0
100
200
300
400
500
600
700
0 2 4 6 8 1 0 1 2 1 4
EFFL
UA
NT
CO
NC
ENTR
ATI
ON
TIME
KINETICS COMPARISION
actual effluant calculated microbiological 1st order cstr
Plot of specific growth rate () with specific substrate utilization
(U) for Bio carriers (MBBR media) at an operation time of 60
minutes
Biological and microbiological kinetics of BOD removal in Bio
diesel wastewater by using Bio carriers (MBBR) at an operation
time of 60 minutes
112 | P a g e
4.2.6 Biological and Microbiological kinetics of Bio diesel wastewater by using Bio carriers (MBBR media) at an operation
time of 90 min (BOD)
days influant Ci effluant Ceff ln(Ceff/Ci) TVS,X(m.o) accumilated X u U HRT effluant (MB) 1st order cstr eff
1 708 614.04 0.142384 72.27692 72.27692308 2 2.6 0.95 612.476523 623.6430369
2 750.2 542.996 0.3232379 148.0029 220.2797802 1.0118 1.417 0.98 554.573086 569.7260864
3 687.94 466.7018 0.3880111 165.1031 385.3829145 0.5452 0.731 0.96 469.726408 501.2347368
4 693.1 424.067 0.4912828 208.5527 593.9356277 0.4259 0.549 1 417.419296 464.7676399
5 669.06 371.7576 0.5876317 225.0586 818.9942197 0.3186 0.421 0.98 371.582515 424.5630321
6 686 336.28 0.7129335 260.9851 1079.979294 0.2749 0.368 1.02 340.984812 397.1764228
7 688.46 302.4816 0.8224368 290.2093 1370.188618 0.2369 0.315 1 304.839431 377.7689363
8 697.68 248.5428 1.0321455 332.6942 1702.88284 0.2165 0.292 1.05 257.818629 334.8189935
9 619.85 156.134 1.3787629 357.8056 2060.688395 0.1901 0.246 1 146.875634 260.5766215
10 667.44 142.9704 1.5408119 406.881 2467.569388 0.1797 0.232 1.05 129.494885 254.9570711
11 618.8 105.6848 1.767321 391.691 2859.260381 0.1471 0.193 1.02 100.995135 220.7896616
12 588.06 98.064 1.7912087 365.6687 3224.929038 0.1202 0.161 0.98 104.727231 213.4221208
13 698.88 117.152 1.7860068 437.3895 3662.318511 0.127 0.169 1.05 120.599041 243.0627275
113 | P a g e
y = 0.7593x - 0.0037R = 0.9986
0
0.5
1
1.5
2
2.5
0 1 2 3
Axi
s Ti
tle
Axis Title
Kd
Kd
Linear (Kd)
0
100
200
300
400
500
600
700
0 2 4 6 8 1 0 1 2 1 4
EFFL
UA
NT
CO
NC
ENTR
ATI
ON
TIME
KINETICS COMPARISION
actual effluant calculated microbiological
1st order cstr
Plot of specific growth rate () with specific substrate utilization
(U) for Bio carriers (MBBR media) at an operation time of 90
minutes
Biological and microbiological kinetics of BOD removal in Bio
diesel wastewater by using Bio carriers (MBBR) at an operation
time of 90 minutes
114 | P a g e
4.2.7 Biological and Microbiological kinetics of Bio diesel wastewater by using Pumice stone at an operation time of 30 min
(COD)
days influant Ci effluant Ceff Ci-Ceff ln(Ceff/Ci) TVS ,X(m.o) accumilated X u U HRT effluant (MB) 1st order cstr eff
1 1180 1136 44 0.038001 36.646154 36.64615385 2 2.401 0.95 1126.262923 1138.88504
2 1210 1092 118 0.102609 68.332857 104.979011 0.965 1.666 0.98 1109.391679 1099.44299
3 1166 1018 148 0.135739 80.565821 185.5448319 0.555 1.019 0.96 1047.70034 1031.575771
4 1195 945 250 0.234717 128.52171 314.0665373 0.514 1.001 1 1005.264186 967.8334778
5 1239 870 369 0.353567 160.96987 475.0364086 0.408 0.935 0.98 1001.999687 920.1665734
6 1225 797 428 0.429841 199.34328 674.3796922 0.347 0.745 1.02 929.9199709 851.618052
7 1187 666 521 0.577895 247.90857 922.2882636 0.311 0.653 1 821.0140809 752.2681849
8 1224 581 643 0.745129 297.32889 1219.617153 0.278 0.6 1.05 782.1065756 686.7202668
9 1127 496 631 0.820739 296.48225 1516.099406 0.217 0.461 1 689.3050495 618.9795767
10 1236 521 715 0.863886 330.60233 1846.701733 0.197 0.425 1.05 744.6552298 648.1112907
11 1190 479 711 0.910008 320.01832 2166.720054 0.159 0.354 1.02 716.2894558 617.1532886
12 1089 450 639 0.883768 314.55806 2481.278113 0.135 0.275 0.98 625.8676264 583.5724549
13 1248 493 755 0.928788 386.20632 2867.484429 0.144 0.282 1.05 674.0159783 631.8258603
14 1132 450 682 0.922494 375.71313 3243.197554 0.123 0.223 1.05 573.6110724 575.0225758
15 1089 435 654 0.917669 370.03256 3613.230112 0.108 0.191 1.1 535.3840045 541.9431121
115 | P a g e
y = 0.7825x - 0.1552R = 0.9386
-0.5
0
0.5
1
1.5
2
2.5
0 1 2 3
U
Kd
Kd
Linear (Kd)
0
200
400
600
800
1000
1200
0 5 1 0 1 5 2 0
EFFL
UA
NT
CO
NC
ENTR
ATI
ON
TIME
KINETICS COMPARISION
actual effluant calculated microbiological
1st order cstr
Plot of specific growth rate () with specific substrate utilization
(U) for Pumice stone at an operation time of 30 minutes
Biological and microbiological kinetics of COD removal in Bio
diesel wastewater by using Pumice stone at an operation time of
30 minutes
116 | P a g e
4.2.8 Biological and Microbiological kinetics of Bio diesel wastewater by using Pumice stone at an operation time of 60 min
(COD)
days influant Ci effluant Ceff Ci-Ceff ln(Ceff/Ci) TVS ,X(m.o) accumilated X u U HRT effluant (MB) 1st order cstr eff
1 1180 1107 73 0.063861 44.584615 44.58461538 2 3.27 0.95 1102.23521 1112.506725
2 1210 1047 163 0.144691 88.261429 132.846044 0.995 1.84 0.98 1055.76004 1059.732479
3 1166 988 178 0.165652 88.640896 221.4869395 0.5 1 0.96 1011.2936 1006.017466
4 1195 915 280 0.266977 147.38295 368.8698852 0.499 0.95 1 937.116075 943.189674
5 1239 826 413 0.405465 194.15064 563.0205287 0.417 0.89 0.98 899.71491 886.6746714
6 1225 753 472 0.486631 212.61194 775.632469 0.318 0.71 1.02 852.509595 818.6513433
7 1187 642 545 0.614596 253.19835 1028.830815 0.281 0.6 1 743.965136 735.1683846
8 1224 545 679 0.809094 297.02489 1325.855704 0.252 0.58 1.05 702.631755 661.7831855
9 1127 460 667 0.896088 302.19444 1628.050148 0.205 0.45 1 598.234008 594.3816877
10 1236 484 752 0.937551 351.28068 1979.330831 0.195 0.42 1.05 619.396477 622.8494222
11 1190 450 740 0.972461 336.25344 2315.584266 0.157 0.34 1.02 600.893019 597.4164829
12 1089 406 683 0.986662 332.2894 2647.873669 0.134 0.28 0.98 508.31256 553.6550393
13 1248 450 798 1.02005 399.05684 3046.930511 0.14 0.28 1.05 547.53491 602.5921706
14 1132 421 711 0.989108 388.85375 3435.784261 0.12 0.22 1.05 449.444414 555.2928853
15 1089 392 697 1.021753 384.96744 3820.751703 0.106 0.19 1.1 411.130503 512.7290974
117 | P a g e
y = 0.6102x - 0.0677R = 0.9924
0
0.5
1
1.5
2
2.5
0 1 2 3 4
U
Kd
Kd
Linear (Kd)
0
200
400
600
800
1000
1200
0 5 1 0 1 5 2 0
EFFL
UA
NT
CO
NC
ENTR
ATI
ON
TIME
KINETICS COMPARISIONactual effluant calculated microbiological
1st order cstr
Plot of specific growth rate () with specific substrate utilization
(U) for Pumice stone at an operation time of 60 minutes
Biological and microbiological kinetics of COD removal in Bio
diesel wastewater by using Pumice stone at an operation time of
60 minutes
118 | P a g e
4.2.9 Biological and Microbiological kinetics of Bio diesel wastewater by using Pumice stone at an operation time of 90 min
(COD)
days influant Ci effluant Ceff Ci-Ceff ln(Ceff/Ci) TVS,X(m.o) accumilated X u U HRT effluant (MB) 1st order cstr eff
1 1180 1092 88 0.077504 51.507692 51.50769231 2 3.417 0.95 1087.391594 1099.076756
2 1210 1033 177 0.158153 94.461429 145.9691209 0.957 1.793 0.98 1039.888213 1047.628022
3 1166 959.5 206.5 0.194922 101.1894 247.1585239 0.515 1.051 0.96 983.96817 982.2047667
4 1195 886 309 0.299185 155.04884 402.2073611 0.478 0.952 1 915.478316 919.807762
5 1239 797 442 0.441205 200.9405 603.1478607 0.4 0.879 0.98 877.1343371 864.9932627
6 1225 723 502 0.527287 230.26866 833.4165174 0.321 0.699 1.02 809.4259611 796.575628
7 1187 618 569 0.652696 268.8409 1102.25742 0.278 0.588 1 702.3342451 718.2204381
8 1224 521 703 0.854129 322.66222 1424.919642 0.255 0.556 1.05 640.7420724 645.2851324
9 1127 436 691 0.949672 312.37963 1737.299272 0.198 0.437 1 563.8427284 578.045868
10 1236 461 775 0.986238 350.56012 2087.859396 0.183 0.405 1.05 602.3126409 607.2070541
11 1190 424 766 1.031975 346.57405 2434.433441 0.153 0.339 1.02 564.5254867 579.7483758
12 1089 392 697 1.021753 333.54269 2767.976128 0.128 0.268 0.98 488.3363926 544.1413517
13 1248 435 813 1.053952 399.06695 3167.043075 0.134 0.274 1.05 526.6296484 592.4100049
14 1132 406 726 1.025388 390.52125 3557.564325 0.116 0.216 1.05 426.0772137 545.106739
15 1089 377 712 1.06077 386.87907 3944.443395 0.103 0.19 1.1 387.7866359 502.5735715
119 | P a g e
y = 0.5862x - 0.0568R = 0.9947
0
0.5
1
1.5
2
2.5
0 1 2 3 4
U
Kd
Kd
Linear (Kd)
0
200
400
600
800
1000
1200
0 5 1 0 1 5 2 0
EFFL
UA
NT
CO
NC
ENTR
ATI
ON
TIME
KINETICS COMPARISION
actual effluant calculated microbiological 1st order cstr
Plot of specific growth rate () with specific substrate utilization
(U) for Pumice stone at an operation time of 90 minutes
Biological and microbiological kinetics of COD removal in Bio
diesel wastewater by using Pumice stone at an operation time of
90 minutes
120 | P a g e
4.2.10 Biological and Microbiological kinetics of Bio diesel wastewater by using Pumice stone at an operation time of 30 min
(BOD)
days influant Ci effluant Ceff bod consumed ln(Ceff/Ci) TVS,X(m.o) accumilated X u U HRT effluant (MB) 1st order cstr eff
1 708 660.36 47.64 0.069659 36.646154 36.64615385 2 2.6 0.95 659.6330086 664.0554623
2 750.2 654.534 95.666 0.136416 68.332857 104.979011 0.96498 1.351 0.98 660.0033263 661.7341046
3 687.94 579.9818 107.9582 0.170705 80.565821 185.5448319 0.55462 0.743 0.96 581.6028704 591.0763546
4 693.1 527.307 165.793 0.273391 128.52171 314.0665373 0.51449 0.664 1 523.4459367 544.2945647
5 669.06 456.4188 212.6412 0.382463 160.96987 475.0364086 0.40798 0.539 0.98 456.5861248 486.6550373
6 686 418.88 267.12 0.493293 199.34328 674.3796922 0.34686 0.465 1.02 422.8422068 456.3722111
7 688.46 358.7416 329.7184 0.651855 247.90857 922.2882636 0.31053 0.413 1 361.2102461 416.7799567
8 697.68 296.286 401.394 0.856435 297.32889 1219.617153 0.27763 0.375 1.05 305.1326985 367.3436298
9 619.85 235.609 384.241 0.967304 296.48225 1516.099406 0.21675 0.281 1 228.4809408 315.0758823
10 667.44 241.2936 426.1464 1.017435 330.60233 1846.701733 0.19662 0.253 1.05 230.9635716 322.6987405
11 618.8 199.576 419.224 1.131587 320.01832 2166.720054 0.15947 0.209 1.02 196.3362304 287.2503093
12 588.06 166.5522 421.5078 1.26152 314.55806 2481.278113 0.13535 0.181 0.98 172.8557796 262.9623399
13 698.88 185.2256 513.6544 1.327905 386.20632 2867.484429 0.14441 0.192 1.05 188.9926236 291.8932784
14 656.56 175.6472 480.9128 1.318537 375.71313 3243.197554 0.12297 0.157 1.05 160.5262176 275.3491534
15 653.4 176.058 477.342 1.311376 370.03256 3613.230112 0.10794 0.139 1.1 164.7904867 267.5113032
121 | P a g e
y = 0.7599x - 0.0031R = 0.9986
0
0.5
1
1.5
2
2.5
0 1 2 3
U
Kd
Kd
Linear (Kd)
0
100
200
300
400
500
600
700
800
0 5 1 0 1 5 2 0
EFFL
UA
NT
CO
NC
ENTR
ATI
ON
TIME
KINETICS COMPARISION
actual effluant calculated microbiological 1st order cstr
Plot of specific growth rate () with specific substrate utilization
(U) for Pumice stone at an operation time of 30 minutes
Biological and microbiological kinetics of BOD removal in Bio
diesel wastewater by using Pumice stone at an operation time of
30 minutes
122 | P a g e
4.2.11 Biological and Microbiological kinetics of Bio diesel wastewater by using Pumice stone at an operation time of 60 min
(BOD)
days influant Ci effluant Ceff bod consumed ln(Ceff/Ci) TVS,X(m.o) accumilated X u U HRT effluant (MB) 1st order cstr eff
1 708 650.04 57.96 0.0854102 44.584615 44.58461538 2 2.6 0.95 649.123584 654.864501
2 750.2 626.634 123.566 0.1799772 88.261429 132.846044 0.9949 1.393 0.98 633.636554 637.7203753
3 687.94 569.1612 118.7788 0.1895379 88.640896 221.4869395 0.5003 0.67 0.96 570.881711 582.0350009
4 693.1 502.976 190.124 0.3206318 147.38295 368.8698852 0.4993 0.644 1 498.446576 524.8245441
5 669.06 412.587 256.473 0.4834266 194.15064 563.0205287 0.4167 0.55 0.98 412.652774 453.9822325
6 686 401.1 284.9 0.5366669 212.61194 775.632469 0.3177 0.426 1.02 405.18141 443.3242309
7 688.46 351.7062 336.7538 0.6716611 253.19835 1028.830815 0.2806 0.373 1 354.052754 411.841862
8 697.68 296.6964 400.9836 0.8550512 297.02489 1325.855704 0.2523 0.341 1.05 305.336804 367.6249534
9 619.85 228.206 391.644 0.9992288 302.19444 1628.050148 0.2046 0.265 1 220.732021 310.0445557
10 667.44 214.6392 452.8008 1.134491 351.28068 1979.330831 0.1948 0.251 1.05 203.429774 304.5980546
11 618.8 178.308 440.492 1.2442697 336.25344 2315.584266 0.1566 0.205 1.02 174.675294 272.7006163
12 588.06 142.7922 445.2678 1.4154386 332.2894 2647.873669 0.1339 0.179 0.98 149.218271 246.3460527
13 698.88 168.1344 530.7456 1.4247154 399.05684 3046.930511 0.1401 0.186 1.05 171.761759 280.0054785
14 656.56 158.8272 497.7328 1.4191973 388.85375 3435.784261 0.12 0.154 1.05 142.919128 263.6620769
15 653.4 156.792 496.608 1.4272694 384.96744 3820.751703 0.1061 0.137 1.1 144.824137 254.2416058
123 | P a g e
y = 0.7592x - 0.0027R = 0.9986
0
0.5
1
1.5
2
2.5
0 1 2 3
U
Kd
Kd
Linear (Kd)
0
100
200
300
400
500
600
700
0 5 1 0 1 5 2 0
EFFL
UA
NT
CO
NC
ENTR
ATI
ON
TIME
KINETICS COMPARISION
actual effluant calculated microbiological 1st order cstr
Plot of specific growth rate () with specific substrate utilization
(U) for Pumice stone at an operation time of 60 minutes
Biological and microbiological kinetics of BOD removal in Bio
diesel wastewater by using Pumice stone at an operation time of
60 minutes
124 | P a g e
4.2.12 Biological and Microbiological kinetics of Bio diesel wastewater by using Pumice stone at an operation time of 90 min
(BOD)
days influant Ci effluant Ceff bod consumed ln(Ceff/Ci) TVS,X(m.o) accumilated X u U HRT effluant (MB) 1st order cstr eff
1 708 641.04 66.96 0.099352 51.50769 51.50769231 2 2.6 0.95 640.0335668 646.9389136
2 750.2 617.954 132.246 0.193926 94.46143 145.9691209 0.957 1.339 0.98 625.54323 630.395111
3 687.94 552.3462 135.5938 0.219527 101.1894 247.1585239 0.515 0.69 0.96 554.4125941 568.195363
4 693.1 493.087 200.013 0.340489 155.0488 402.2073611 0.478 0.616 1 488.4763372 517.0502525
5 669.06 403.6176 265.4424 0.505406 200.9405 603.1478607 0.4 0.528 0.98 403.8872833 447.4426641
6 686 377.44 308.56 0.597466 230.2687 833.4165174 0.321 0.43 1.02 382.087791 426.2417452
7 688.46 330.9016 357.5584 0.732636 268.8409 1102.25742 0.278 0.369 1 333.6607566 397.3482791
8 697.68 262.086 435.594 0.979088 322.6622 1424.919642 0.255 0.345 1.05 271.7870944 344.0165028
9 619.85 215.006 404.844 1.058812 312.3796 1737.299272 0.198 0.256 1 207.5910941 301.0717476
10 667.44 215.568 451.872 1.130173 350.5601 2087.859396 0.183 0.236 1.05 204.7236993 305.2296021
11 618.8 164.788 454.012 1.323122 346.574 2434.433441 0.153 0.201 1.02 161.3861021 263.3656844
12 588.06 141.1128 446.9472 1.427269 333.5427 2767.976128 0.128 0.172 0.98 147.8977604 245.1553384
13 698.88 168.12096 530.75904 1.424795 399.0669 3167.043075 0.134 0.179 1.05 172.1378839 279.9960626
14 656.56 156.6928 499.8672 1.432727 390.5213 3557.564325 0.116 0.149 1.05 141.0976422 262.1664433
15 653.4 154.326 499.074 1.443122 386.8791 3944.443395 0.103 0.133 1.1 142.6687228 252.528134
125 | P a g e
y = 0.76x - 0.003R = 0.9987
0
0.5
1
1.5
2
2.5
0 1 2 3
U
Kd
Kd
Linear (Kd)
0
100
200
300
400
500
600
700
0 2 4 6 8 1 0 1 2 1 4 1 6
EFFL
UA
NT
CO
NC
ENTR
ATI
ON
TIME
KINETICS COMPARISION
actual effluant calculated microbiological 1st order cstr
Plot of specific growth rate () with specific substrate utilization
(U) for Pumice stone at an operation time of 90 minutes
Biological and microbiological kinetics of BOD removal in Bio
diesel wastewater by using Pumice stone at an operation time of
90 minutes
126 | P a g e
4.2.13 Biological and Microbiological kinetics of Bio diesel wastewater by using Foam at an operation time of 30 min (COD)
days influant Ci effluant Ceff Ci-Ceff ln(Ceff/Ci) TVS,X(m.o) accumilated X u U HRT effluant (MB) 1st order cstr eff
1 1180 1077 103 0.091335 69.230769 69.3208 2 2.972 0.95 1055.496188 1085.788031
2 1210 856 354 0.346105 156.77143 226.0922286 1.061 2.397 0.98 927.1393706 903.5358558
3 1166 723 443 0.477925 220.72164 446.8138704 0.656 1.317 0.96 768.6227873 799.2826259
4 1195 605 590 0.680673 265.27132 712.0851882 0.458 1.018 1 715.3313157 711.024688
5 1239 458 781 0.995191 309.12854 1021.213727 0.357 0.901 0.98 681.2434374 627.2506593
6 1225 369 856 1.199899 373.08955 1394.303279 0.309 0.709 1.02 548.9052117 550.8347473
7 1187 280 907 1.444395 421.41579 1815.719069 0.263 0.565 1 424.9878875 485.6007729
8 1224 272 952 1.504077 438.13156 2253.850624 0.215 0.468 1.05 427.4549431 474.5508045
9 1127 221 906 1.629152 403.62191 2657.472538 0.164 0.369 1 397.1631152 428.6553537
10 1236 280 956 1.484846 436.74228 3094.214819 0.152 0.332 1.05 441.9807139 482.9844997
127 | P a g e
y = 0.6205x - 0.122R = 0.9357
0
0.5
1
1.5
2
2.5
0 1 2 3 4
U
Kd
Kd
Linear (Kd)
0
200
400
600
800
1000
1200
0 2 4 6 8 1 0 1 2
EFFL
UA
NT
CO
NC
ENTR
ATI
ON
TIME
KINETICS COMPARISION
actual effluant calculated microiological
1st order cstr
Plot of specific growth rate () with specific substrate utilization
(U) for Foam at an operation time of 30 minutes
Biological and microbiological kinetics of COD removal in Bio
diesel wastewater by using Foam at an operation time of 30
minutes
128 | P a g e
4.2.14 Biological and Microbiological kinetics of Bio diesel wastewater by using Foam at an operation time of 60 min (COD)
days influant Ci effluant Ceff Ci-Ceff ln(Ceff/Ci) TVS,X(m.o) accumilated X u U HRT effluant (MB) 1st order cstr eff
1 1180 1047 133 46.98 72.27692 72.27692308 2 3.68 0.2788 1038.29898 1059.620508
2 1210 826 384 126.542 180.7743 253.0512088 1.111 2.361 0.2788 854.9585 880.5473817
3 1166 693 473 153.2938 228.7967 481.8479252 0.623 1.287 0.2788 717.17231 777.5965793
4 1195 576 619 186.441 289.0558 770.9037392 0.461 0.988 0.2788 626.623412 690.8337846
5 1239 413 826 226.3653 342.7181 1113.621832 0.364 0.877 0.2788 565.900145 596.6368626
6 1225 310 915 263.06 392.6269 1506.248697 0.3 0.699 0.2788 452.059814 510.0752771
7 1187 251 936 285.2092 428.886 1935.134712 0.249 0.544 0.2788 343.672318 464.8100322
8 1224 261 963 298.8738 442.776 2377.910712 0.205 0.447 0.2788 350.795584 466.7076165
9 1127 228 899 265.8205 410.2168 2788.127533 0.159 0.348 0.2788 320.38195 433.8004225
10 1236 251 985 285.9732 443.7133 3231.840799 0.147 0.327 0.2788 360.947189 462.247569
129 | P a g e
y = 0.5404x - 0.0626R = 0.9929
0
0.5
1
1.5
2
2.5
0 1 2 3 4
U
Kd
Kd
Linear (Kd)
0
200
400
600
800
1000
1200
0 2 4 6 8 1 0 1 2
EFFL
UA
NT
CO
NC
ENTR
ATI
ON
TIME
KINETICS COMPARISIONactual effluant 1st order cstr calculated microbiological
Plot of specific growth rate () with specific substrate utilization
(U) for Foam at an operation time of 60 minutes
Biological and microbiological kinetics of COD removal in Bio
diesel wastewater by using Foam at an operation time of 60
minutes
130 | P a g e
4.2.15 Biological and Microbiological kinetics of Bio diesel wastewater by using Foam at an operation time of 90 min (COD)
days influant Ci effluant Ceff Ci-Ceff ln(Ceff/Ci) TVS,X(m.o) accumilated X u U HRT effluant (MB) 1st order cstr eff
1 1180 1033 147 0.133047 84.18461538 84.18461538 2 3.492 0.95 1021.015466 1047.589984
2 1210 797 413 0.417521 198.9757143 283.1603297 1.0833 2.249 0.98 833.4161481 858.6611522
3 1166 664 502 0.563052 236.4314925 519.5918222 0.5891 1.251 0.96 719.1715117 756.8823084
4 1195 546 649 0.783282 313.2899225 832.8817447 0.4633 0.96 1 601.2095137 670.1125636
5 1239 369 870 1.211263 370.8340651 1203.71581 0.3642 0.854 0.98 537.1549475 566.519656
6 1225 292 933 1.433942 400.1492537 1603.865064 0.285 0.665 1.02 465.4906733 497.4374526
7 1187 238 949 1.606914 429.378797 2033.243861 0.2361 0.522 1 373.1817876 455.327689
8 1224 261 963 1.545359 447.944 2481.187861 0.1984 0.427 1.05 371.9411733 466.7076165
9 1127 221 906 1.629152 417.9702932 2899.158154 0.1554 0.337 1 334.8047653 428.6553537
10 1236 251 985 1.594183 448.8912335 3348.049387 0.1437 0.315 1.05 382.1393885 462.247569
131 | P a g e
y = 0.5685x - 0.0775R = 0.9897
0
0.5
1
1.5
2
2.5
0 1 2 3 4
U
Kd
Kd
Linear (Kd)
0
200
400
600
800
1000
1200
0 2 4 6 8 10 12
EFFL
UA
NT
CO
NC
ENTR
ATI
ON
TIME
KINETICS COMPARISION
actual effluant calculated microbiological 1st order cstr
Plot of specific growth rate () with specific substrate utilization
(U) for Foam at an operation time of 90 minutes
Biological and microbiological kinetics of COD removal in Bio
diesel wastewater by using Foam at an operation time of 90
minutes
132 | P a g e
4.2.16 Biological and Microbiological kinetics of Bio diesel wastewater by using Foam at an operation time of 30 min (BOD)
days influant Ci effluant Ceff BOD consumed ln(Ceff/Ci) TVS,X(m.o) accumilated X u U HRT effluant (MB) 1st order cstr eff
1 708 617.88 90 0.13615 69.323077 69.3208 2 2.597 0.95 616.3020287 626.9135372
2 750.2 530.72 219.48 0.346105 156.77143 226.0922286 1.061 1.486 0.98 542.7958155 560.1922306
3 687.94 392.173 295.767 0.561999 220.72164 446.8138704 0.656 0.879 0.96 395.9622776 446.8539671
4 693.1 350.9 342.2 0.680673 265.27132 712.0851882 0.458 0.591 1 342.1165099 412.3943191
5 669.06 260.7012 408.3588 0.942499 309.12854 1021.213727 0.357 0.471 0.98 260.0916496 347.8077627
6 686 186.06 499.94 1.304808 373.08955 1394.303279 0.309 0.414 1.02 192.3089308 294.30634
7 688.46 127.977 560.483 1.682607 421.41579 1815.719069 0.263 0.349 1 130.8799879 256.6384444
8 697.68 106.2024 591.4776 1.882414 438.13156 2253.850624 0.215 0.291 1.05 117.8303584 234.3933837
9 619.85 96.756 523.094 1.857285 403.62191 2657.472538 0.164 0.213 1 85.81326701 216.9366947
10 667.44 104.4792 562.9608 1.854461 436.74228 3094.214819 0.152 0.196 1.05 89.42900812 226.4669841
133 | P a g e
0
100
200
300
400
500
600
700
0 2 4 6 8 1 0 1 2
EFFL
UA
NT
CO
NC
ENTR
ATI
ON
TIME
KINETICS COMPARISION
calculated microbiological actual effluant 1st order cstr
y = 0.7598x - 0.0053R = 0.9982
0
0.5
1
1.5
2
2.5
0 1 2 3
U
Kd
Kd
Linear (Kd)
Plot of specific growth rate () with specific substrate utilization
(U) for Foam at an operation time of 30 minutes
Biological and microbiological kinetics of BOD removal in Bio
diesel wastewater by using Foam at an operation time of 30
minutes
134 | P a g e
4.2.17 Biological and Microbiological kinetics of Bio diesel wastewater by using Foam at an operation time of 60 min (BOD)
days influant Ci effluant Ceff BOD consumed ln(Ceff/Ci) TVS,X(m.o) accumilated X u U HRT effluant (MB) 1st order cstr eff
1 708 614.04 93.96 0.142384 72.27692 72.27692308 2 2.6 0.95 612.216859 623.6430369
2 750.2 497.116 253.084 0.411516 180.7743 253.0512088 1.111 1.556 0.98 510.603442 534.602313
3 687.94 381.3524 306.5876 0.589978 228.7967 481.8479252 0.623 0.834 0.96 384.720326 439.1913842
4 693.1 320.218 372.882 0.772172 289.0558 770.9037392 0.461 0.595 1 309.956061 391.1019317
5 669.06 216.3294 452.7306 1.129071 342.7181 1113.621832 0.364 0.48 0.98 214.824625 317.6183979
6 686 159.88 526.12 1.456454 392.6269 1506.248697 0.3 0.402 1.02 165.528935 275.9915688
7 688.46 118.0416 570.4184 1.76342 428.886 1935.134712 0.249 0.332 1 119.970908 249.13331
8 697.68 99.9324 597.7476 1.943267 442.776 2377.910712 0.205 0.277 1.05 110.656977 229.4675487
9 619.85 88.209 531.641 1.949769 410.2168 2788.127533 0.159 0.206 1 76.106954 210.1351333
10 667.44 95.4936 571.9464 1.94439 443.7133 3231.840799 0.147 0.19 1.05 79.1743696 219.4364326
135 | P a g e
y = 0.7576x - 0.0042R = 0.9982
0
0.5
1
1.5
2
2.5
0 1 2 3
U
Kd
Kd
Linear (Kd)
0
100
200
300
400
500
600
700
0 2 4 6 8 1 0 1 2
EFFL
UA
NT
CO
NC
ENTR
ATI
ON
TIME
KINETICS COMPARISION
calculated microbiologial actual effluant
1st order cstr
Plot of specific growth rate () with specific substrate utilization
(U) for Foam at an operation time of 60 minutes
Biological and microbiological kinetics of BOD removal in Bio
diesel wastewater by using Foam at an operation time of 60
minutes
136 | P a g e
4.2.18 Biological and Microbiological kinetics of Bio diesel wastewater by using Foam at an operation time of 90 min (BOD)
days influant Ci effluant Ceff BOD consumed ln(Ceff/Ci) TVS,X(m.o) accumilated X u U HRT effluant (MB)1st order cstr eff
1 708 598.56 109.44 0.167917 84.184615 84.18461538 2 2.6 0.95 596.533087 610.5967214
2 750.2 471.634 278.566 0.464137 198.97571 283.1603297 1.083 1.517 0.98 486.7062 515.653172
3 687.94 371.1218 316.8182 0.617171 236.43149 519.5918222 0.589 0.789 0.96 374.872781 431.9916562
4 693.1 288.956 404.144 0.8749 313.28992 832.8817447 0.463 0.598 1 278.189137 369.6730765
5 669.06 179.1882 489.8718 1.317437 370.83407 1203.71581 0.364 0.481 0.98 177.982598 292.0271494
6 686 149.8 536.2 1.521577 400.14925 1603.865064 0.285 0.382 1.02 156.009067 268.8079255
7 688.46 117.3862 571.0738 1.768988 429.3788 2033.243861 0.236 0.314 1 119.804853 248.6323644
8 697.68 92.9556 604.7244 2.015639 447.944 2481.187861 0.198 0.268 1.05 104.307767 223.8722267
9 619.85 78.1605 541.6895 2.070713 417.97029 2899.158154 0.155 0.201 1 66.3038997 201.8586492
10 667.44 88.8192 578.6208 2.016847 448.89123 3348.049387 0.144 0.185 1.05 72.8130076 214.0816491
137 | P a g e
y = 0.7584x - 0.0044R = 0.9982
0
0.5
1
1.5
2
2.5
0 1 2 3
U
Kd
Kd
Linear (Kd)
0
100
200
300
400
500
600
700
0 2 4 6 8 1 0 1 2
EFFL
UA
NT
CO
NC
ENTR
ATI
ON
TIME
KINETICS COMPARISION
actual effluant calculated microbiological
1st order CSTR
Plot of specific growth rate () with specific substrate utilization
(U) for Foam at an operation time of 90 minutes
Biological and microbiological kinetics of BOD removal in Bio
diesel wastewater by using Foam at an operation time of 90
minutes