<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>VOCs are the main source of indoor environmental pollution. Bodalal established a mathematical model of VOCs emission characteristics, which provided a reference for many scholars to study the diffusion of VOCs. However, there are some logical errors in the process of mathematical derivation, which make the model difficult to understand. In the paper, first, the reasons for the error of model derivation are pointed out in detail. Second, using Laplace–Carson transform and generalised Heaviside theorem, the correct derivation process is given. Finally, a simple method for calculating the diffusion coefficient is presented and its application is given. This paper provides convenience for people to use this model in related research.</p>
</abstract>

VOCs are the main source of indoor environmental pollution. Bodalal established a mathematical model of VOCs emission characteristics, which provided a reference for many scholars to study the diffusion of VOCs. However, there are some logical errors in the process of mathematical derivation, which make the model difficult to understand. In the paper, first, the reasons for the error of model derivation are pointed out in detail. Second, using Laplace–Carson transform and generalised Heaviside theorem, the correct derivation process is given. Finally, a simple method for calculating the diffusion coefficient is presented and its application is given. This paper provides convenience for people to use this model in related research.

Debate and discussion of VOCs diffusion coefficient derivation process for the Bodalal model

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

VOCs are the main source of indoor environmental pollution. Bodalal established a mathematical model of VOCs emission characteristics, which provided a...

r	u	α	q	D	k_e

−0.3011	0.2990	0.003	0.063	1.09*10⁻⁴	0.003
−0.3173	−0.4949	3	2.068	1.068*10⁻⁷	3
−0.2375	−0.0847	0.516	0.974	3.065*10⁻⁷	0.516
−0.2399	0.0985	0.025	0.211	7.7594×10⁻⁶	0.025
−0.1668	−0.2444	1.526	1.553	9.959×10⁻⁸	1.526
−0.0677	−0.7257	2.237	3	1.0832×10⁻⁸	2.237
−0.1108	−0.6766	2.954	3	1.7728×10⁻⁸	2.954
−0.1313	−0.9652	1.24	3	2.1008×10⁻⁸	1.24

Debate and discussion of VOCs diffusion coefficient derivation process for the Bodalal model

Pubblicato online: 12 dic 2022

Pagine: 1067 - 1074

Ricevuto: 12 mag 2022

Accettato: 19 nov 2022

DOI: https://doi.org/10.2478/amns.2021.2.00311

Parole chiave
VOCs, diffusion coefficient, improve derivation, calculation method

© 2022 Xin Zhang et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

Fig. 2

Fig. 3

Computational data of the diffusion coefficient and the distribution coefficient

Debate and discussion of VOCs diffusion coefficient derivation process for the Bodalal model

Pubblicato online: 12 dic 2022

Pagine: 1067 - 1074

Ricevuto: 12 mag 2022

Accettato: 19 nov 2022

DOI: https://doi.org/10.2478/amns.2021.2.00311

Parole chiaveVOCs, diffusion coefficient, improve derivation, calculation method

© 2022 Xin Zhang et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

Fig. 2

Fig. 3

Computational data of the diffusion coefficient and the distribution coefficient

Parole chiave
VOCs, diffusion coefficient, improve derivation, calculation method