The goal of the study is to enhance the productivity of solar stills using an unsaturated porous medium initially saturated by salty water and using concentrating reflector. This paper concentrates only on the mathematical model for the porous medium and its solution using a finite-volume approach. The previous studies dealt with wick medium with high water content and liquid saturation in the wick medium was not determined. A physical model for the initially saturated porous medium was developed. The model takes into consideration the salt concentration in the solution, surface and internal water diffusions to humid air with vapor pressure determined from vapor mass balance. The system of transient one-dimensional differential equations was developed together with the boundaries and initial conditions. A finite-volume method was used for discretisation of the differential equations. A fully-implicit scheme was used for unsteady term discretisation while the convective terms (liquid solution, vapor and dry air) in the energy equation are handled by an upwind scheme method. The nonlinear equations are solved simultaneously by updating the coefficients matrix at one time step until the five variables converge to prescribed tolerance. Matlab was used as a programming tool. Solution of the model is obtained and discussed.
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American Journal of Aerospace Engineering (Volume 2, Issue 1-1)
This article belongs to the Special Issue Hands-on Learning Technique for Multidisciplinary Engineering Education |
| DOI | 10.11648/j.ajae.s.2015020101.18 |
| Page(s) | 93-105 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2014. Published by Science Publishing Group |
Porous Medium, Solute Concentration, Vapor Pressure, Absorbed Solar Radiation
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APA Style
Sherif A. Mohamed, Ibrahim S. Taha, Mahmoud G. Morsy, Hany A. Mohamed, Mahmoud S. Ahmed. (2014). Numerical Solution of Solar Energy Absorbed in Porous Medium with a New Approach for Vapor Pressure Calculation and Consideration of Solute Crystallization. American Journal of Aerospace Engineering, 2(1-1), 93-105. https://doi.org/10.11648/j.ajae.s.2015020101.18
ACS Style
Sherif A. Mohamed; Ibrahim S. Taha; Mahmoud G. Morsy; Hany A. Mohamed; Mahmoud S. Ahmed. Numerical Solution of Solar Energy Absorbed in Porous Medium with a New Approach for Vapor Pressure Calculation and Consideration of Solute Crystallization. Am. J. Aerosp. Eng. 2014, 2(1-1), 93-105. doi: 10.11648/j.ajae.s.2015020101.18
AMA Style
Sherif A. Mohamed, Ibrahim S. Taha, Mahmoud G. Morsy, Hany A. Mohamed, Mahmoud S. Ahmed. Numerical Solution of Solar Energy Absorbed in Porous Medium with a New Approach for Vapor Pressure Calculation and Consideration of Solute Crystallization. Am J Aerosp Eng. 2014;2(1-1):93-105. doi: 10.11648/j.ajae.s.2015020101.18
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Download@article{10.11648/j.ajae.s.2015020101.18,
author = {Sherif A. Mohamed and Ibrahim S. Taha and Mahmoud G. Morsy and Hany A. Mohamed and Mahmoud S. Ahmed},
title = {Numerical Solution of Solar Energy Absorbed in Porous Medium with a New Approach for Vapor Pressure Calculation and Consideration of Solute Crystallization},
journal = {American Journal of Aerospace Engineering},
volume = {2},
number = {1-1},
pages = {93-105},
doi = {10.11648/j.ajae.s.2015020101.18},
url = {https://doi.org/10.11648/j.ajae.s.2015020101.18},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajae.s.2015020101.18},
abstract = {The goal of the study is to enhance the productivity of solar stills using an unsaturated porous medium initially saturated by salty water and using concentrating reflector. This paper concentrates only on the mathematical model for the porous medium and its solution using a finite-volume approach. The previous studies dealt with wick medium with high water content and liquid saturation in the wick medium was not determined. A physical model for the initially saturated porous medium was developed. The model takes into consideration the salt concentration in the solution, surface and internal water diffusions to humid air with vapor pressure determined from vapor mass balance. The system of transient one-dimensional differential equations was developed together with the boundaries and initial conditions. A finite-volume method was used for discretisation of the differential equations. A fully-implicit scheme was used for unsteady term discretisation while the convective terms (liquid solution, vapor and dry air) in the energy equation are handled by an upwind scheme method. The nonlinear equations are solved simultaneously by updating the coefficients matrix at one time step until the five variables converge to prescribed tolerance. Matlab was used as a programming tool. Solution of the model is obtained and discussed.},
year = {2014}
}
TY - JOUR T1 - Numerical Solution of Solar Energy Absorbed in Porous Medium with a New Approach for Vapor Pressure Calculation and Consideration of Solute Crystallization AU - Sherif A. Mohamed AU - Ibrahim S. Taha AU - Mahmoud G. Morsy AU - Hany A. Mohamed AU - Mahmoud S. Ahmed Y1 - 2014/11/25 PY - 2014 N1 - https://doi.org/10.11648/j.ajae.s.2015020101.18 DO - 10.11648/j.ajae.s.2015020101.18 T2 - American Journal of Aerospace Engineering JF - American Journal of Aerospace Engineering JO - American Journal of Aerospace Engineering SP - 93 EP - 105 PB - Science Publishing Group SN - 2376-4821 UR - https://doi.org/10.11648/j.ajae.s.2015020101.18 AB - The goal of the study is to enhance the productivity of solar stills using an unsaturated porous medium initially saturated by salty water and using concentrating reflector. This paper concentrates only on the mathematical model for the porous medium and its solution using a finite-volume approach. The previous studies dealt with wick medium with high water content and liquid saturation in the wick medium was not determined. A physical model for the initially saturated porous medium was developed. The model takes into consideration the salt concentration in the solution, surface and internal water diffusions to humid air with vapor pressure determined from vapor mass balance. The system of transient one-dimensional differential equations was developed together with the boundaries and initial conditions. A finite-volume method was used for discretisation of the differential equations. A fully-implicit scheme was used for unsteady term discretisation while the convective terms (liquid solution, vapor and dry air) in the energy equation are handled by an upwind scheme method. The nonlinear equations are solved simultaneously by updating the coefficients matrix at one time step until the five variables converge to prescribed tolerance. Matlab was used as a programming tool. Solution of the model is obtained and discussed. VL - 2 IS - 1-1 ER -
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