Effective Thermal Conductivity of Open Cell Polyurethane Foam Based on the Fractal Theory
Based on the fractal theory, the geometric structure inside an open cell polyurethane foam, which is widely used as adiabatic material, is illustrated. A simplified cell fractal model is created. In the model, the method of calculating the equivalent thermal conductivity of the porous foam is descri...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Advances in Materials Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2013/125267 |
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| _version_ | 1832558502339411968 |
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| author | Kan Ankang Han Houde |
| author_facet | Kan Ankang Han Houde |
| author_sort | Kan Ankang |
| collection | DOAJ |
| description | Based on the fractal theory, the geometric structure inside an open cell polyurethane foam, which is widely used as adiabatic material, is illustrated. A simplified cell fractal model is created. In the model, the method of calculating the equivalent thermal conductivity of the porous foam is described and the fractal dimension is calculated. The mathematical formulas for the fractal equivalent thermal conductivity combined with gas and solid phase, for heat radiation equivalent thermal conductivity and for the total thermal conductivity, are deduced. However, the total effective heat flux is the summation of the heat conduction by the solid phase and the gas in pores, the radiation, and the convection between gas and solid phase. Fractal mathematical equation of effective thermal conductivity is derived with fractal dimension and vacancy porosity in the cell body. The calculated results have good agreement with the experimental data, and the difference is less than 5%. The main influencing factors are summarized. The research work is useful for the enhancement of adiabatic performance of foam materials and development of new materials. |
| format | Article |
| id | doaj-art-1831894fd459467b87537832569aa994 |
| institution | Kabale University |
| issn | 1687-8434 1687-8442 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Materials Science and Engineering |
| spelling | doaj-art-1831894fd459467b87537832569aa9942025-02-03T01:32:06ZengWileyAdvances in Materials Science and Engineering1687-84341687-84422013-01-01201310.1155/2013/125267125267Effective Thermal Conductivity of Open Cell Polyurethane Foam Based on the Fractal TheoryKan Ankang0Han Houde1Merchant Marine College, Shanghai Maritime University, Shanghai 201306, ChinaMerchant Marine College, Shanghai Maritime University, Shanghai 201306, ChinaBased on the fractal theory, the geometric structure inside an open cell polyurethane foam, which is widely used as adiabatic material, is illustrated. A simplified cell fractal model is created. In the model, the method of calculating the equivalent thermal conductivity of the porous foam is described and the fractal dimension is calculated. The mathematical formulas for the fractal equivalent thermal conductivity combined with gas and solid phase, for heat radiation equivalent thermal conductivity and for the total thermal conductivity, are deduced. However, the total effective heat flux is the summation of the heat conduction by the solid phase and the gas in pores, the radiation, and the convection between gas and solid phase. Fractal mathematical equation of effective thermal conductivity is derived with fractal dimension and vacancy porosity in the cell body. The calculated results have good agreement with the experimental data, and the difference is less than 5%. The main influencing factors are summarized. The research work is useful for the enhancement of adiabatic performance of foam materials and development of new materials.http://dx.doi.org/10.1155/2013/125267 |
| spellingShingle | Kan Ankang Han Houde Effective Thermal Conductivity of Open Cell Polyurethane Foam Based on the Fractal Theory Advances in Materials Science and Engineering |
| title | Effective Thermal Conductivity of Open Cell Polyurethane Foam Based on the Fractal Theory |
| title_full | Effective Thermal Conductivity of Open Cell Polyurethane Foam Based on the Fractal Theory |
| title_fullStr | Effective Thermal Conductivity of Open Cell Polyurethane Foam Based on the Fractal Theory |
| title_full_unstemmed | Effective Thermal Conductivity of Open Cell Polyurethane Foam Based on the Fractal Theory |
| title_short | Effective Thermal Conductivity of Open Cell Polyurethane Foam Based on the Fractal Theory |
| title_sort | effective thermal conductivity of open cell polyurethane foam based on the fractal theory |
| url | http://dx.doi.org/10.1155/2013/125267 |
| work_keys_str_mv | AT kanankang effectivethermalconductivityofopencellpolyurethanefoambasedonthefractaltheory AT hanhoude effectivethermalconductivityofopencellpolyurethanefoambasedonthefractaltheory |