Global Journal of Researches in Engineering, J: General Engineering, Volume 22 Issue 1

lobal Journal of Researches in Engineering ( ) Volume XxXII Issue I Version I J G 20 Year 2022 © 2022 Global Journals Mathematical Models for the Calculation of the Thermal Properties of PVCs as a Function of Dosage with the Load of Palm Kernel Shell Powder from the Results of Experimental Practice Table 2: Mathematical models for the calculation of thermogravimetric pr operties of PVC. Properties Mathemat ical models Types Correlatio ns Phase transition temperature s Dehydration (Th) y = 7E-05x 3 - 0,0046x 2 + 0,2759x + 96,71 Polynomial R² = 1 Dehydrochlorination (THcl) y = 5E-05x 3 + 0,0011x 2 - 0,5097x + 244,71 Polynomial R² = 1 Condensation (Tco) y = -0,0004x 3 + 0,0195x 2 - 0,3494x + 335,71 Polynomial R² = 1 Fragmentation (Tfr) y = 0,0003x 3 - 0,0332x 2 + 0,0446x + 420,71 Polynomi al R² = 1 Ash (Tcar) y = 0,0017x 3 - 0,1198x 2 + 0,3405x + 657,71 Polynomial R² = 1 Decrease in mass at the phase transitions Dehydration (Mh) y = 4E-05x 3 - 0,0016x 2 + 0,0256x + 1,176 Polynomial R² = 1 Dehydrochlorination (MHcl) y = -6E-05x 3 + 0,0072x 2 - 0,4287x + 60,411 Polynomial R² = 1 Condensation (Mco) y = -3E-05x 3 + 0,0031x 2 - 0,0864x + 6,0513 Polynomial R² = 1 Fragmentation (Mfr) y = -5E-06x 3 - 0,0016x 2 + 0,2282x + 28,601 Polynomial R² = 1 Ash (Mcar) y = 6E-05x 3 - 0,007x 2 + 0,2612x + 3,7613 Polynomial R² = 1 e) Application: calculation of phase transitions of elaborated tubes from the obtained mathematical models We unloaded tubes to formulations of F0 (0% loading), F4.01 (4.01% loading), F12.54 (12.54% loading), F23.03 (23.03% loading), F32.01 (32.01% loading), F38.02 (38.02% loading), F51.01 (51.01% loading). We only performed thermodifferential analyses of the F0 (0% load), F12.54 (12.54% load), F32.01 (32.01% load) and F51.01 (51.01% load) tub es. The table below repre sents the results of the different phase changes of the elab orated PVC tubes for which the thermogravimetric and differential analyses could not be performed. These are the tubes F4.01 (4.01% load), F23.03 (23.03% load), F38.02 (38.02% load). Table 3: Results of thermogravimetric and differential analysis of the tubes Properties Formulations F0 F4.01 F12.54 F23.03 F32.01 F38.02 F51.01 Results of the thermo gravimetric analyses Phase transition temperatures Dehydration temperature (Th) 96,71 97,7469 99,5844 101,4792 103,124 104,3951 108,108 Dehydrochlorination temperature (THCl) 244,71 242,687 238,589 234,165 231,161 229,671 228,208 Condensation temperature (TCO) 335,71 334,596 333,606 333,119 331,386 328,635 315,520 Fragmentation (T fr ) 420,71 420,374 416,640 407,792 397,959 390,913 376,406 Cendre (T car ) 657,71 657,258 646,493 622,777 601,615 601,6153 589,0101 Decrease in mass at the phase transitions Dehydration mass loss (Mh) 1,176 1,256 1,324 1,406 1,668 2,034 3,630 Dehydrochlorination mass loss (MHCl) 60,411 58,804 56,049 53,624 52,098 51,223 49,312 Condensation mass loss (MCO) 6,0513 5,753 5,396 5,339 5,478 5,599 5,728 fragmentation mass loss (Mfr) 28,601 29,490 31,201 32,947 34,102 34,689 35,415 loss of mass of residual cullet (Mcar) 3,7613 4,700 6,054 6,797 6,918 6,871 6,835 Results of the thermo differential analyses Phase transition temperatures Glass transition temperature (Tg) 108,710 102,794 96,541 95,608 95,345 92,926 73,894 Crystallization temperature (Tcf) 274,710 276,787 277,656 278,076 284,232 294,302 341,524 Melting temperature (Tf) 288,710 290,141 289,567 287,622 290,747 298,044 336,509 Combustion temperature (Tc) 494,710 491,694 485,633 476,545 464,886 453,957 418,160 Ash starting temperature (Tce) 657,710 657,060 641,549 606,228 572,526 553,262 535,676 We did thermogravimetric and differential analysis of the tubes with 0% (F0), 12.54% (F12.54), 32. 01% (F32.01), 51.0 1% (F51.01) of the palm kernel shell powder in orde r to obtain the thermal characteristic parameters of the PVCs loaded with the palm kernel shell powder We observed the results of each property for each formulation and found that they follow a logic that we sought to find. The search for this logic led us to elaborate mathematical models allowing us to calculate either the dosage with palm kernel shell powder when we know the thermal properties of the plastic tubes we