How to find out drying constant from different drying models? can we find out with the help of any application or software.
How can I obtain model constants for various drying models?
I have experimental moisture ratio data and drying time and i want to find out predicted moisture ratio ratio by drying models such as page model etc. there are several model equations reported in literature. How can I fit the experimental data to the following equations? How can I obtain various model constants? Any software to be used or it has to be done mathematically? Please guide me with some good literature/links/software to carry out this study.
there are following models as
1 Lewis MR = exp(kt)
2 Page MR = exp(ktn)
3Modified Page MR = exp[(kt)n]
4 Henderson and pabis MR = aexp(kt)
5 Yagcioglu et al. MR = aexp(kt) + c
6 Two-term MR = aexp(k0t) + bexp(k1t)
7 Two-term exponential MR = aexp(kt) + (1a)exp(kat)
8 Wang and Singh MR = 1 + at + bt2
9 Thomson t = a.ln(MR) + b[ln(MR)]2
10 Diffusion approach MR = aexp(kt) + (1a)exp(kbt)
11 Verma et al. MR = aexp(kt) + (1a)exp(gt)
12 Modified Henderson and pabis MR = aexp(kt) + bexp(gt) + c exp(ht)
13Simplified Ficks diffusion (SFFD) equation MR = aexp[c(t/L2)]
14 Modified Page equation-II MR = exp[k(t/L2)n]
The best way to do it is fitting the data into the different established drying models and see the constants in the model equations. The popular thin-layer drying models include: Newton, Page, Modified Page, Henderson and Pabis, Modified Henderson and Pabis, and Logarithmic Models. You can use any statistical software to do a non linear regression and check which one best fits to your data and then compare the drying model parameters and constants. The different models are summarized in Table 1 of the article that you get following this link:
Article Mathematical modeling of thin layer drying characteristics o...
I hope this is helpful and Good Luck!
It looks that you want to approximate the single drying curve using the selectet empirical functions based od exponential function/s, logarytmic function/s and power function. For k, g, h etc larger than zero the proposed functions are increasing functions. Is MR the increasing function of t (it depends how MR is defined)? If so, to find the value of function parameters you can use the nonlinear regression method. It is implemented e.g. in Statistica. Regards,
Usually, when the moisture measure of the dried material is defined as the ratio of the moisture mass to the mass of the dry material (mass ratio) we deal with the lower limit (the equilibrium value). However, none of your equations takes this situation into account. How is your data. Regards,
How can i find out different constants from these model? for example Newton model MR = exp(-kt)
Tadesse Fikre Teferra
Using nonlinear regression or based on plot - ln(MR) = kt. Of course, the value of k must be constant. Regards,
Plot MR vs time (t) on a semilog coordinate and the slope of the line will be the constant (k)
Plot your drying kinetics points and Perform a regression analysis by the use of numerical software (Origin, SPSS, Python, R, Wolfram Mathematica ...... etc.)
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