The present describes and simulates the temperature distribution of slurry by using the heat equation and appropriate boundary conditions and their numerical simulations with the Finite Element Method. This method is suitable to describe the temperature profile in Bio-digester and Bio-rectors for optimum biogas production. The Mathematical modeling of bio-digester helps us to understand the change in digester temperature with the change in the ambient temperature, internal heat generation, thermal conductivity and other physical and thermo-dynamical processes that govern the thermal system. Mathematical modeling can also be used to predict and estimate the physical and chemical parameters affecting the biogas production. The internal heat generation was estimated to be 1.2 W/m3.The Finite Element linear, quadratic solutions and exact solution was compared for the profile of temperature of the bio-digester slurry. The average temperature of bio-digester slurry was found to be 33.12 °C at its center. The thermal conductivity we have also found to be 0.69 W/ m °C. By using the finite element method to solve the mathematical modeling, the maximum slurry temperature was found to be 33.13 °C at its center. Furthermore, we have calculated the thermal conductivity in the biogas chamber from our measurement data. This thermal conductivity (k) 0.69 W/m °C was used in the exact solution of the physical model equation, linear and quadratic finite elements solutions. The temperature profiles of these three solutions virtually collapse to a single parabolic profile, which in term agreed very well with our measured data of the temperature profile.
| Published in | International Journal of Energy and Power Engineering (Volume 2, Issue 3) |
| DOI | 10.11648/j.ijepe.20130203.17 |
| Page(s) | 128-135 |
| 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. |
| Copyright |
Copyright © The Author(s), 2013. Published by Science Publishing Group |
Mathematical Modeling, Slurry Temperature, Thermal Conductivity, Biogas-Digester, Finite Element Method, Internal Heat Generation
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APA Style
Suresh Baral, Shiva P. Pudasaini, Sanjay Nath Khanal, Dil Bahadur Gurung. (2013). Mathematical Modelling, Finite Element Simulation and Experimental Validation of Biogas-digester Slurry Temperature. International Journal of Energy and Power Engineering, 2(3), 128-135. https://doi.org/10.11648/j.ijepe.20130203.17
ACS Style
Suresh Baral; Shiva P. Pudasaini; Sanjay Nath Khanal; Dil Bahadur Gurung. Mathematical Modelling, Finite Element Simulation and Experimental Validation of Biogas-digester Slurry Temperature. Int. J. Energy Power Eng. 2013, 2(3), 128-135. doi: 10.11648/j.ijepe.20130203.17
AMA Style
Suresh Baral, Shiva P. Pudasaini, Sanjay Nath Khanal, Dil Bahadur Gurung. Mathematical Modelling, Finite Element Simulation and Experimental Validation of Biogas-digester Slurry Temperature. Int J Energy Power Eng. 2013;2(3):128-135. doi: 10.11648/j.ijepe.20130203.17
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Download@article{10.11648/j.ijepe.20130203.17,
author = {Suresh Baral and Shiva P. Pudasaini and Sanjay Nath Khanal and Dil Bahadur Gurung},
title = {Mathematical Modelling, Finite Element Simulation and Experimental Validation of Biogas-digester Slurry Temperature},
journal = {International Journal of Energy and Power Engineering},
volume = {2},
number = {3},
pages = {128-135},
doi = {10.11648/j.ijepe.20130203.17},
url = {https://doi.org/10.11648/j.ijepe.20130203.17},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijepe.20130203.17},
abstract = {The present describes and simulates the temperature distribution of slurry by using the heat equation and appropriate boundary conditions and their numerical simulations with the Finite Element Method. This method is suitable to describe the temperature profile in Bio-digester and Bio-rectors for optimum biogas production. The Mathematical modeling of bio-digester helps us to understand the change in digester temperature with the change in the ambient temperature, internal heat generation, thermal conductivity and other physical and thermo-dynamical processes that govern the thermal system. Mathematical modeling can also be used to predict and estimate the physical and chemical parameters affecting the biogas production. The internal heat generation was estimated to be 1.2 W/m3.The Finite Element linear, quadratic solutions and exact solution was compared for the profile of temperature of the bio-digester slurry. The average temperature of bio-digester slurry was found to be 33.12 °C at its center. The thermal conductivity we have also found to be 0.69 W/ m °C. By using the finite element method to solve the mathematical modeling, the maximum slurry temperature was found to be 33.13 °C at its center. Furthermore, we have calculated the thermal conductivity in the biogas chamber from our measurement data. This thermal conductivity (k) 0.69 W/m °C was used in the exact solution of the physical model equation, linear and quadratic finite elements solutions. The temperature profiles of these three solutions virtually collapse to a single parabolic profile, which in term agreed very well with our measured data of the temperature profile.},
year = {2013}
}
TY - JOUR T1 - Mathematical Modelling, Finite Element Simulation and Experimental Validation of Biogas-digester Slurry Temperature AU - Suresh Baral AU - Shiva P. Pudasaini AU - Sanjay Nath Khanal AU - Dil Bahadur Gurung Y1 - 2013/07/20 PY - 2013 N1 - https://doi.org/10.11648/j.ijepe.20130203.17 DO - 10.11648/j.ijepe.20130203.17 T2 - International Journal of Energy and Power Engineering JF - International Journal of Energy and Power Engineering JO - International Journal of Energy and Power Engineering SP - 128 EP - 135 PB - Science Publishing Group SN - 2326-960X UR - https://doi.org/10.11648/j.ijepe.20130203.17 AB - The present describes and simulates the temperature distribution of slurry by using the heat equation and appropriate boundary conditions and their numerical simulations with the Finite Element Method. This method is suitable to describe the temperature profile in Bio-digester and Bio-rectors for optimum biogas production. The Mathematical modeling of bio-digester helps us to understand the change in digester temperature with the change in the ambient temperature, internal heat generation, thermal conductivity and other physical and thermo-dynamical processes that govern the thermal system. Mathematical modeling can also be used to predict and estimate the physical and chemical parameters affecting the biogas production. The internal heat generation was estimated to be 1.2 W/m3.The Finite Element linear, quadratic solutions and exact solution was compared for the profile of temperature of the bio-digester slurry. The average temperature of bio-digester slurry was found to be 33.12 °C at its center. The thermal conductivity we have also found to be 0.69 W/ m °C. By using the finite element method to solve the mathematical modeling, the maximum slurry temperature was found to be 33.13 °C at its center. Furthermore, we have calculated the thermal conductivity in the biogas chamber from our measurement data. This thermal conductivity (k) 0.69 W/m °C was used in the exact solution of the physical model equation, linear and quadratic finite elements solutions. The temperature profiles of these three solutions virtually collapse to a single parabolic profile, which in term agreed very well with our measured data of the temperature profile. VL - 2 IS - 3 ER -
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