Processes 2021 , 9 , 1117
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Table3. Fitting results of drying curve data in industrial production.
R 2
Models
Model Structure
Model Parameter
a=1.03; b= − 0.0550 a=1.19; b= − 15.0; c=32.2 a=0.964; b = 0.00159; c=0.0346; d= − 0.927
0.967
Experimental Model
u = a · exp ( b · N )
u = a · exp − N − b c 2
Gaussian Model
0.986
Fourier Model
u = a + b · cos ( c · N )+ d · sin ( c · N )
0.985
Figure 7 shows comparison of calculation results of evaporation heat between the new and old methods in industrial production. Like the results of the laboratory verification, the results calculated by the new method based on the test of the drying curve are similar to the old method based on the measurement of the sorption isotherm in industrial production. The MRE was calculated as 0.80%. It shows that the new method can achieve the credibility of the old method in industrial production too.
Figure7. Comparison of results between the new and old methods in industrial production. 4. Conclusions In this paper, a mathematical model for rapid estimation of water evaporation heat in the paper drying process was proposed. During modeling, the drying curve is selected as the model input variables, and then evaporation heat ( Δ H) can be calculated. Compared with the old method using adsorption isotherm as model input, the new method has the advantages of easily obtained model inputs, short measurement time, and less harsh measurement environment. The current paper also compares and analyzes the calculation results of the new and old methods in laboratory and industrial production. The results calculated by the new method based on the test of the drying curve are similar to the old method based on the measurement of the sorption isotherm in both scenarios. It shows that the new method can achieve the credibility of the old method.
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