There are several model equations reported in literature. I have got the experimental values of moisture ratio and drying time. 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.
How can we use regression analysis for find out constant using these models. Can we solve it by non-linier regression with excel solver? Different models are following:
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]
Use statistical method of fitting to fit your data and see which model is suitable for your data. And then find your desired parameter.
what is the significance of these model? why we use these model and what is the importance of statistical parameter?
Significance of a model is totally depends on its background I mean for what the model was defined. In that case you have to consider a model which is significant to your data set and simultaneously you will get its use. Finally importance of a statistical parameter indicates a particular value of a parameter which is yet to be find for your future reference. Hope you get something out of it.
You may want to check this somewhat related thread: https://www.researchgate.net/post/How_do_I_calculate_cumulative_release_of_volatile_compound
For a similar thread: https://www.researchgate.net/post/How_can_I_obtain_model_constants_for_various_drying_models
Thank you for adding your reply @ Carlos Araújo Queiroz Sir, Phonindra Nath Das Sir
Sir, I have estimate RMSE, R2 value directly from software (MATLAB). and also calculate from drying kinetics formula. Can you tell us what is different in these values? Its same value or not.
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