Determination of the moisture diffusivity coefficient and mathematical modeling of drying
Abstract
Drying plays an important role in the production of clay tiles. In the present article, drying process is analyzed taking experimental data for several masonry clays obtained from different clay tile manufacturers and published data for different clay slabs. Calculation methods and computer programs designed for the calculation of the effective diffusion coefficient are developed. The first calculation method represents the analytical solution of the Crank equation, while the second one represents the analytical solution of the Efremov equation with boundary conditions in the form of the flux. Unlike other materials, clay tiles exhibit shrinkage during the drying process. For this reason, a shrinkage correction is included in both calculation methods. Four models (Al, A2, B1 and B2) for predicting the drying behavior are obtained as the result of the calculation cited programs. It is shown that the calculated effective diffusion coefficient determined by the designed computer programs,... using experimentally obtained and selected published data sets have similar values to those of the same coefficient reported in the literature. Based on the mathematically determined prognostic values of the effective diffusion coefficient, it was concluded that there is more than 90% agreement between the experimentally recorded and the calculated drying curves.
Keywords:
Mathematical modeling / Diffusivity / Convective drying / Clay tilesSource:
Chemical Engineering and Processing-Process Intensification, 2014, 76, 33-44Publisher:
- Elsevier Science Sa, Lausanne
Funding / projects:
- Ministry of Education, Science and Technological Development of SerbiaMinistry of Education, Science & Technological Development, Serbia
- Development and application of multifunctional materials using domestic raw materials in upgraded processing lines (RS-45008)
DOI: 10.1016/j.cep.2013.12.003
ISSN: 0255-2701
WoS: 000334485200005
Scopus: 2-s2.0-84894227433
Collections
Institution/Community
Institut za ispitivanje materijalaTY - JOUR AU - Vasić, Miloš AU - Grbavčić, Željko AU - Radojević, Zagorka PY - 2014 UR - http://rims.institutims.rs/handle/123456789/239 AB - Drying plays an important role in the production of clay tiles. In the present article, drying process is analyzed taking experimental data for several masonry clays obtained from different clay tile manufacturers and published data for different clay slabs. Calculation methods and computer programs designed for the calculation of the effective diffusion coefficient are developed. The first calculation method represents the analytical solution of the Crank equation, while the second one represents the analytical solution of the Efremov equation with boundary conditions in the form of the flux. Unlike other materials, clay tiles exhibit shrinkage during the drying process. For this reason, a shrinkage correction is included in both calculation methods. Four models (Al, A2, B1 and B2) for predicting the drying behavior are obtained as the result of the calculation cited programs. It is shown that the calculated effective diffusion coefficient determined by the designed computer programs, using experimentally obtained and selected published data sets have similar values to those of the same coefficient reported in the literature. Based on the mathematically determined prognostic values of the effective diffusion coefficient, it was concluded that there is more than 90% agreement between the experimentally recorded and the calculated drying curves. PB - Elsevier Science Sa, Lausanne T2 - Chemical Engineering and Processing-Process Intensification T1 - Determination of the moisture diffusivity coefficient and mathematical modeling of drying EP - 44 SP - 33 VL - 76 DO - 10.1016/j.cep.2013.12.003 ER -
@article{ author = "Vasić, Miloš and Grbavčić, Željko and Radojević, Zagorka", year = "2014", abstract = "Drying plays an important role in the production of clay tiles. In the present article, drying process is analyzed taking experimental data for several masonry clays obtained from different clay tile manufacturers and published data for different clay slabs. Calculation methods and computer programs designed for the calculation of the effective diffusion coefficient are developed. The first calculation method represents the analytical solution of the Crank equation, while the second one represents the analytical solution of the Efremov equation with boundary conditions in the form of the flux. Unlike other materials, clay tiles exhibit shrinkage during the drying process. For this reason, a shrinkage correction is included in both calculation methods. Four models (Al, A2, B1 and B2) for predicting the drying behavior are obtained as the result of the calculation cited programs. It is shown that the calculated effective diffusion coefficient determined by the designed computer programs, using experimentally obtained and selected published data sets have similar values to those of the same coefficient reported in the literature. Based on the mathematically determined prognostic values of the effective diffusion coefficient, it was concluded that there is more than 90% agreement between the experimentally recorded and the calculated drying curves.", publisher = "Elsevier Science Sa, Lausanne", journal = "Chemical Engineering and Processing-Process Intensification", title = "Determination of the moisture diffusivity coefficient and mathematical modeling of drying", pages = "44-33", volume = "76", doi = "10.1016/j.cep.2013.12.003" }
Vasić, M., Grbavčić, Ž.,& Radojević, Z.. (2014). Determination of the moisture diffusivity coefficient and mathematical modeling of drying. in Chemical Engineering and Processing-Process Intensification Elsevier Science Sa, Lausanne., 76, 33-44. https://doi.org/10.1016/j.cep.2013.12.003
Vasić M, Grbavčić Ž, Radojević Z. Determination of the moisture diffusivity coefficient and mathematical modeling of drying. in Chemical Engineering and Processing-Process Intensification. 2014;76:33-44. doi:10.1016/j.cep.2013.12.003 .
Vasić, Miloš, Grbavčić, Željko, Radojević, Zagorka, "Determination of the moisture diffusivity coefficient and mathematical modeling of drying" in Chemical Engineering and Processing-Process Intensification, 76 (2014):33-44, https://doi.org/10.1016/j.cep.2013.12.003 . .