Table 4.

ThL kinetics constants and statistical analysis results.

Mode No.	DT, °C	AC, %	Winter				Summer
			Model constants	Statistical measures			Model constants	Statistical measures
				R2	χ2	RMSE		R2	χ2	RMSE
Newton (Lewis)	50	70	k = 0.004820	0.759947	0.024846	0.151894	k = 0.004775	0.750512	0.023528	0.14737
		80	k = 0.005811	0.785106	0.022350	0.143134	k = 0.005771	0.779170	0.023116	0.145565
		90	k = 0.006465	0.776384	0.025348	0.151800	k = 0.006458	0.775545	0.025451	0.152108
	55	70	k = 0.006093	0.761717	0.027733	0.159442	k = 0.005486	0.760593	0.024132	0.148730
		80	k = 0.006372	0.771776	0.025769	0.153056	k = 0.006425	0.778244	0.024847	0.150295
		90	k = 0.006858	0.772421	0.026409	0.154169	k = 0.007117	0.777134	0.026810	0.155335
	60	70	k = 0.006344	0.769968	0.025850	0.153297	k = 0.006874	0.808348	0.020404	0.135511
		80	k = 0.006640	0.770640	0.025653	0.151946	k = 0.007870	0.782187	0.027413	0.156099
		90	k = 0.007233	0.802926	0.021473	0.138155	k = 0.007049	0.822356	0.016446	0.119958
Page	50	70	k = 1.422*10−6 n = 2.644486	0.980733	0.002230	0.043719	k = 1.422*10−6 n = 2.644486	0.9653772	0.0038175	0.056835
		80	k = 2.363*10−6 n = 2.628663	0.980289	0.002349	0.044240	k = 1.354*10−6 n = 2.7431276	0.982047	0.002152	0.042348
		90	k = 2.591*10−6 n = 2.6607618	0.978338	0.002839	0.048199	k = 1.354*10−6 n = 2.7431276	0.943427	0.008223	0.082026
	55	70	k = 2.12*10−6 n = 2.666705	0.977339	0.002997	0.049972	k = 1.265*10−6 n = 2.7434841	0.971021	0.003354	0.05287
		80	k = 2.12*10−6 n = 2.666705	0.965513	0.004765	0.062442	k = 1.35*10−6 n = 2.743128	0.948097	0.007446	0.078053
		90	k = 8.47*10−7 n = 2.936746	0.979656	0.002803	0.047353	k = 1.37*10−6 n = 2.8464125	0.981312	0.0026534	0.046073
	60	70	k = 8.47*10−7 n = 2.936746	0.949900	0.006231	0.071400	k = 1.32*10−6 n = 2.841523	0.976826	0.002946	0.048543
		80	k = 8.47*10−7 n = 2.936746	0.979284	0.002717	0.046620	k = 2.6*10−6 n = 2.767222	0.985368	0.002214	0.041499
		90	k = 8.47*10−7 n = 2.936746	0.963650	0.005357	0.064551	k = 2.861*10−6 n = 2.745217	0.983935	0.001908	0.037830
Simplified Ficks Diffusion	50	70	a = 1.156466 b = 0.054421 c = 3.011389	0.818203	0.022885	0.134094	a = 1.143276 b = 0.053805 c = 3.011536	0.807896	0.022480	0.131500
		80	a = 1.147174 b = 0.064597 c = 3.012207	0.838659	0.021197	0.126085	a = 1.148771 b = 0.064325 c = 3.012418	0.833826	0.021980	0.128393
		90	a = 1.149057 b = 0.071696 c = 3.013660	0.829363	0.025047	0.134967	a = 1.149322 b = 0.071647 c = 3.013580	0.828714	0.025151	0.135247
	55	70	a = 1.158547 b = 0.068062 c = 3.013149	0.817114	0.026849	0.141904	a = 1.141877 b = 0.061089 c = 3.011698	0.814136	0.023694	0.133307
		80	a = 1.150353 b = 0.070906 c = 3.013558	0.826231	0.025424	0.135980	a = 1.147747 b = 0.071203 c = 3.013364	0.831004	0.024526	0.133555
		90	a = 1.143753 b = 0.075842 c = 3.014551	0.824615	0.027237	0.138080	a = 1.146688 b = 0.067782 c = 2.800475	0.828669	0.027547	0.138864
	60	70	a = 1.148661 b = 0.070494 c = 3.013366	0.823743	0.025665	0.136623	a = 1.130523 b = 0.074875 c = 3.013378	0.854335	0.020735	0.120476
		80	a = 1.140572 b = 0.073494 c = 3.014100	0.823154	0.026503	0.136206	a = 1.142374 b = 0.074189 c = 2.795283	0.832089	0.029424	0.140058
		90	a = 1.131072 b = 0.079305 c = 3.014486	0.852325	0.022489	0.122446	a = 1.107367 b = 0.076365 c = 3.013739	0.866851	0.018310	0.106975
Approximation diffusion or (diffusion approach)	50	70	k = 0.004820 a = 1.000000 b = 1.000111	0.759947	0.029364	0.151894	k = 0.004775 a = 1.000000 b = 1.000131	0.750512	0.028233	0.147370
		80	k = 0.005811 a = 1.000000 b = 1.000010	0.785106	0.027316	0.143134	k = 0.005771 a = 1.000000 b = 1.000013	0.779170	0.028252	0.145565
		90	k = 0.006465 a = 1.000061 b = 1.001321	0.776384	0.031685	0.151800	k = 0.006458 a = 1.000061 b = 1.001317	0.775545	0.031813	0.152108
	55	70	k = 0.006093 a = 1.000000 b = 1.000000	0.761717	0.033896	0.159442	k = 0.005486 a = 1.000000 b = 1.000033	0.760593	0.029494	0.148730
		80	k = 0.006372 a = 1.000000 b = 1.000000	0.771776	0.032211	0.153056	k = 0.006425 a = 1.000053 b = 1.001299	0.778244	0.031059	0.150295
		90	k = 0.006858 a = 1.000000 b = 1.000000	0.772421	0.033954	0.154169	k = 0.007117 a = 1.000061 b = 1.001475	0.777134	0.034470	0.155335
	60	70	k = 0.006344 a = 1.000000 b = 1.000000	0.769968	0.032312	0.153297	k = 0.006874 a = 1.000056 b = 1.001420	0.808348	0.026233	0.135511
		80	k = 0.006640 a = 1.000000 b = 1.000000	0.770640	0.032982	0.151946	k = 0.007870 a = 1.000064 b = 1.001580	0.782187	0.036550	0.156099
		90	k = 0.007233 a = 1.000000 b = 1.000000	0.802926	0.028630	0.138155	k = 0.007049 a = 1.000000 b = 1.000039	0.822356	0.023024	0.119958
Logistics	50	70	k = 0.033442 a = 0.007640 b = 0.969197	0.991521	0.001061	0.028868	k = 0.036435 a = 0.005695 b = 0.960531	0.985612	0.001676	0.035902
		80	k = 0.035040 a = 0.013496 b = 0.982386	0.986081	0.001818	0.036923	k = 0.035907 a = 0.011890 b = 0.980226	0.987452	0.001649	0.035172
		90	k = 0.040052 a = 0.010796 b = 0.975343	0.985189	0.002159	0.039626	k = 0.039477 a = 0.011625 b = 0.978449	0.982776	0.002512	0.042741
	55	70	k = 0.040187 a = 0.007528 b = 0.968121	0.986661	0.001946	0.038200	k = 0.039057 a = 0.006608 b = 0.959718	0.731680	0.002244	0.041021
		80	k = 0.040423 a = 0.010111 b = 0.976532	0.986997	0.001889	0.037062	k = 0.039485 a = 0.011556 b = 0.978562	0.987220	0.001841	0.036592
		90	k = 0.044236 a = 0.009190 b = 0.969460	0.986086	0.002145	0.038749	k = 0.043878 a = 0.010618 b = 0.974450	0.986675	0.002125	0.038569
	60	70	k = 0.040947 a = 0.009316 b = 0.973070	0.987353	0.001828	0.036464	k = 0.037374 a = 0.020512 b = 0.990272	0.985227	0.002087	0.038226
		80	k = 0.043626 a = 0.009268 b = 0.971512	0.987014	0.001931	0.036766	k = 0.048696 a = 0.010292 b = 0.973504	0.991280	0.001514	0.031768
		90	k = 0.042794 a = 0.016095 b = 0.988960	0.995630	0.000659	0.020956	k = 0.041600 a = 0.021734 b = 0.996643	0.992521	0.001020	0.025245
Parpbolic model	50	70	a = 0.981797 b = 0.000997 c= -0.000028	0.982126	0.0023011	0.0425208	a = 0.979869 b = 0.001581 c= -0.000034	0.983041	0.002040	0.039610
		80	a = 0.977638 b = 0.001174 c= -0.000039	0.989516	0.001399	0.032393	a = 0.977641 b = 0.001303 c= -0.000040	0.989915	0.001355	0.031881
		90	a = 0.975759 b = 0.001319 c= -0.000046	0.991676	0.001234	0.029956	a = 0.975759 b = 0.001322 c= -0.000046	0.990420	0.001421	0.032142
	55	70	a = 0.977644 b = 0.001475 c= -0.000042	0.989970	0.001491	0.033442	a = 0.977645 b = 0.001640 c= -0.000041	0.985438	0.0018965	0.0377141
		80	a = 0.975762 b = 0.001460 c= -0.000047	0.991993	0.001184	0.029339	a = 0.975759 b = 0.001304 c= -0.000046	0.880399	0.001158	0.029025
		90	a = 0.974182 b = 0.001296 c= -0.000052	0.993525	0.001011	0.026603	a = 0.974178 b = 0.001089 c= -0.000052	0.905738	0.001056	0.027190
	60	70	a = 0.975762 b = 0.001494 c= -0.000047	0.991940	0.001187	0.029377	a = 0.974164 b = 0.000520 c= -0.000045	0.992205	0.001116	0.027954
		80	a = 0.974184 b = 0.001403 c= -0.000052	0.9925713	0.0011214	0.028018	a = 0.972225 b = 0.000777 c= -0.000058	0.994919	0.000886	0.024310
		90	a = 0.972222 b = 0.000604 c= -0.000053	0.993055	0.001056	0.026529	a = 0.969012 b = 0.000748 c= -0.000061	0.995288	0.0006474	0.0201157
Combined Two-term and Page	50	70	k = 1.77*10−8 a = 0.900427 b = 0.055797 h = 0 n = 3.502453	0.991026	0.001370	0.029681	k = 1.77*10−8 a = 0.900427 b = 0.0557966 h = 4.88*10−5n = 3.502453	0.9776039	0.0032027	0.0443948
		80	k = 1.475*10−7 a = 0.163326 b = 1.766724 h = 0 n = 3.184704	0.985795	0.002383	0.037280	k = 5.51*10−7 a = 0.978345 b = 0 h = 0.828593 n = 2.919836	0.985629	0.002445	0.037763
		90	k = 9.73*10−8 a = 0.1556636 b = 1.8112558 h = 0 n = 3.3288717	0.9851286	0.0028868	0.0396814	k = 7.73*10−7 a = 0.96963 b = 4.84*10–13  h = 0.8281 n = 2.90146	0.981040	0.003696	0.044898
	55	70	k = 8.15 *10−9 a = 0.931316 b = 0.071104 h = 0.076051 n = 3.784720	0.990139	0.001846	0.032816	k = 7.73*10−7 a = 0.96963 b = 4.84*10–13  h = 0.8281 n = 2.90146	0.903229	0.015166	0.094056
		80	k = 8.01*10−8 a = 0.153611 b = 1.827049 h = 0 n = 3.366660	0.9870612	0.0025029	0.0369492	k = 1.42*10−5 a = 0.471051 b = 0.740586 h = 2.93*10−7 n = 2.365	0.898142	0.018825	0.101333
		90	k = 1.23*10−5 a = 0.477917 b = 0.736921 h = 2.55*10−8 n = 2.364999	0.969856	0.006551	0.057232	k = 1.42*10−5 a = 0.471051 b = 0.740586 h = 2.93*10−7 n = 2.36500	0.963810	0.007847	0.062639
	60	70	k = 5.95*10−8 a = 0.139154 b = 1.923194 h = 0 n = 3.4260879	0.987419	0.002422	0.036348	k = 1.42*10−5 a = 0.471051 b = 0.740586 h = 2.93*10−5 n = 2.36500	0.959504	0.007704	0.062063
		80	k = 1.189*10−5 a = 0.4764031 b = 0.7416107 h = 1.683*10−7 n = 2.365005	0.9703076	0.0062155	0.0557474	k = 1.585*10−5 a = 0.472046 b = 0.748449 h = 5.72*10−7 n = 2.369975	0.977314	0.005910	0.051249
		90	k = 1.42*10−5 a = 0.471051 b = 0.740586 h = 2.93*10−7 n = 2.364996	0.9861212	0.0031528	0.0374334	k = 1.51 *10−5 a = 0.468468 b = 0.7413035 h = 8.153*10−7n = 2.3678759	0.985940	0.003191	0.034590
Modified Henderson and Pabis	50	70	k = 0.006001 a = 0.385488 b = 0.385488 c = 0.385488 g = 0.006001 h = 0.006001	0.818205	0.031467	0.134094	k = 0.0059330 a = 0.381094 b = 0.381094 c = 0.381094 g = 0.005933 h = 0.005933	0.807896	0.032114	0.131500
		80	k = 0.007119 a = 0.382393 b = 0.382393 c = 0.382393 g = 0.007119 h = 0.007119	0.838661	0.031795	0.126085	k = 0.007089 a = 0.382925 b = 0.382925 c = 0.382925 g = 0.007089 h = 0.007089	0.833826	0.032969	0.128393
		90	k = 0.007894 a = 0.383021 b = 0.383021 c = 0.383021 g = 0.007894 h = 0.007894	0.829365	0.040075	0.134967	k = 0.007889 a = 0.383108 b = 0.383108 c = 0.383108 g = 0.007889 h = 0.007889	0.828714	0.040242	0.135247
	55	70	k = 0.007497 a = 0.386186 b = 0.386186 c = 0.386186 g = 0.007497 h = 0.007497	0.817114	0.040274	0.141904	k = 0.006735 a = 0.380627 b = 0.380627 c = 0.380627 g = 0.006735 h = 0.006735	0.814135	0.035541	0.133307
		80	k = 0.007808 a = 0.383451 b = 0.383451 c = 0.383451 g = 0.007808 h = 0.007808	0.826233	0.040679	0.135980	k = 0.007841 a = 0.382584 b = 0.382584 c = 0.382584 g = 0.007841 h = 0.007841	0.831005	0.039241	0.133555
		90	k = 0.008346 a = 0.381253 b = 0.381253 c = 0.381253 g = 0.008346 h = 0.008346	0.824617	0.047665	0.138080	k = 0.008643 a = 0.382232 b = 0.382232 c = 0.382232 g = 0.008643 h = 0.008643	0.828669	0.048208	0.138864
	60	70	k = 0.007763 a = 0.382889 b = 0.382889 c = 0.382889 g = 0.007763 h = 0.007763	0.823743	0.041065	0.136623	k = 0.008246 a = 0.376843 b = 0.376843 c = 0.376843 g = 0.008246 h = 0.008246	0.854334	0.036286	0.120476
		80	k = 0.008090 a = 0.380190 b = 0.380190 c = 0.380190 g = 0.008090 h = 0.008090	0.823156	0.046380	0.136206	k = 0.009495 a = 0.380794 b = 0.380794 c = 0.380794 g = 0.0094950 h = 0.009495	0.832089	0.058849	0.140058
		90	k = 0.008727 a = 0.377019 b = 0.377019 c = 0.377019 g = 0.008727 h = 0.008727	0.852324	0.044979	0.122446	k = 0.008408 a = 0.369124 b = 0.369124 c = 0.369124 g = 0.008408 h = 0.008408	0.866851	0.045775	0.106975
Modified Midilli II	50	70	k = 3.3 *10 −6 a = 4.443862 b= -3.45960 n = 2.09567	0.994123	0.000809	0.024032	k = 1.66E-06 a = 5.06309 b= -4.08148 n = 2.22364	0.993452	0.000845	0.024187
		80	k = 3.38*10 −6 a = 4.282044 b= -3.30477 n = 2.169711	0.997028	0.000435	0.017029	k = 5.25E-06 a = 4.48591 b=-3.49774 n = 2.07230	0.996951	0.000451	0.017343
		90	k = 2.49*10 −6 a = 4.539418 b= -3.56713 n = 2.25330	0.996794	0.000534	0.018438	k = 3.63*10 −6 a = 5.00884 b=-4.02813 n = 2.15849	0.995558	0.0007400	0.021703
	55	70	k = 2.03*10 −6 a = 4.64283 b= -3.66614 n = 2.26392	0.997264	0.000447	0.017264	k = 2.62*10 −6 a = 4.62358 b=-3.64277 n = 2.19499	0.992446	0.001077	0.026798
		80	k = 3.91*10 −6 a = 4.45665 b=-3.46075 n = 2.17337	0.996473	0.000590	0.019381	k = 4.61*10 −6 a = 4.77000 b=-3.78691 n = 2.12085	0.997374	0.000432	0.016580
		90	k = 3.73*10 −6 a = 4.45003 b=-3.46611 n = 2.21326	0.997087	0.000524	0.017739	k = 5.76*10 −6 a = 5.00204 b=-4.02157 n = 2.10017	0.997144	0.000530	0.017831
	60	70	k = 3.90*10 −6 a = 4.45636 b=-3.46074 n = 2.17308	0.996403	0.000599	0.019520	k = 1.44*10 −5 a = 4.20683 b=-3.22727 n = 1.93945	0.995399	0.000756	0.021299
		80	k = 3.57*10 −6 a = 4.44847 b=-3.46125 n = 2.21818	0.996202	0.000662	0.019924	k = 1.237*10 −5 a = 4.319012 b = 3.333210 n = 2.015851	0.9980468	0.0004053	0.015005
		90	k = 3.51*10 −6 a = 4.42572 b=-3.48175 n = 2.24171	0.992372	0.001358	0.027465	k = 1.11*10 −5 a = 3.53175 b=-2.55400 n = 2.08978	0.997275	0.000464	0.015237
Modified Page III	50	70	k = 1.15648 d = 2.80675 n = 0.04728	0.818204	0.022885	0.134094	k = 1.14329 d = 2.82822 n = 0.04745	0.807896	0.022480	0.131500
		80	k = 1.14718 d = 2.80233 n = 0.05591	0.837325	0.021197	0.126085	k = 1.14878 d = 2.80324 n = 0.05570	0.833826	0.021980	0.128393
		90	k = 1.14906 d = 2.79585 n = 0.06171	0.829364	0.025047	0.134967	k = 1.14932 d = 2.79581 n = 0.06167	0.828715	0.025151	0.135247
	55	70	k = 1.15855 d = 2.79427 n = 0.05853	0.817115	0.026849	0.141904	k = 1.14188 d = 2.81244 n = 0.05327	0.814136	0.023694	0.133307
		80	k = 1.15036 d = 2.79691 n = 0.06108	0.826232	0.025424	0.135980	k = 1.14775 d = 2.79671 n = 0.06133	0.831005	0.024526	0.133555
		90	k = 1.14376 d = 2.86202 n = 0.06836	0.824615	0.027237	0.138080	k = 1.14670 d = 2.85105 n = 0.07025	0.828669	0.027547	0.138864
	60	70	k = 1.14867 d = 2.79798 n = 0.06078	0.823744	0.025665	0.136623	k = 1.13052 d = 2.85919 n = 0.06741	0.854334	0.020735	0.120476
		80	k = 1.14058 d = 2.86839 n = 0.06656	0.823153	0.026503	0.136206	k = 1.14238 d = 2.78691 n = 0.07375	0.832090	0.029424	0.140058
		90	k = 1.131075 d = 2.812327 n = 0.069026	0.852324	0.022489	0.122446	k = 1.10737 d = 2.79496 n = 0.06568	0.866851	0.018310	0.106975
Modified Two Term III	50	70	k = 0.004820 a = 1.000001	0.759947	0.026917	0.151894	k = 0.00478 a = 1.00000	0.750512	0.025667	0.147370
		80	k = 0.005811 a = 1.000000	0.785106	0.024585	0.143134	k = 0.00577 a = 1.00000	0.779170	0.025427	0.145565
		90	k = 0.006465 a = 1.000005	0.776384	0.028164	0.151800	k = 0.00646 a = 1.00000	0.775545	0.028278	0.152108
	55	70	k = 0.00609 a = 1.00001	0.761717	0.030506	0.159442	k = 0.00549 a = 1.00000	0.760593	0.026545	0.148730
		80	k = 0.006372 a = 1.000004	0.771776	0.028632	0.153056	k = 0.00643 a = 1.00000	0.778244	0.027608	0.150295
		90	k = 0.00686 a = 1.00000	0.772421	0.029710	0.154169	k = 0.00712 a = 1.00001	0.7771339	0.0301613	0.1553352
	60	70	k = 0.00634 a = 1.00000	0.769968	0.028722	0.153297	k = 0.00687 a = 1.00000	0.808348	0.022954	0.135511
		80	k = 0.00664 a = 1.00000	0.770640	0.028860	0.151946	k = 0.00787 a = 1.00001	0.782187	0.031329	0.156099
		90	k = 0.00723 a = 1.00000	0.802926	0.024540	0.138155	k = 0.007049 a = 1.000000	0.822356	0.019187	0.119958