A simple optimization approach for the insulation thickness distribution in household refrigerators
Determination of the optimal insulation thickness is of great relevance in many thermal engineering applications. In this paper, a simple optimization strategy based on the Lagrange multipliers is presented. The optimal set of thicknesses is analytically found for different constraints and objective...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/119401 |
| Acceso en línea: | https://hdl.handle.net/2117/119401 https://dx.doi.org/10.1016/j.ijrefrig.2018.06.014 |
| Access Level: | acceso abierto |
| Palabra clave: | Refrigeration and refrigerating machinery--Electric equipment Insulation (Heat) Insulation Optimization Lagrange multipliers Domestic refrigerator Energy labeling Refrigeració i màquines frigorífiques -- Estalvi d'energia Aïllament tèrmic Àrees temàtiques de la UPC::Energies::Termoenergètica::Refrigeració |
| Sumario: | Determination of the optimal insulation thickness is of great relevance in many thermal engineering applications. In this paper, a simple optimization strategy based on the Lagrange multipliers is presented. The optimal set of thicknesses is analytically found for different constraints and objective functions of interest for the refrigeration industry. Namely, the minimization of heat losses in a single compartment with fixed internal and external volumes and the optimal configuration for a prescribed energy efficiency index. Then, these two basic problems are extended for configurations with two compartments, e.g. domestic refrigerators-freezers, and for configurations with vacuum insulation panels. Optimization problems for realistic configurations show the great potential of the proposed methodology for industrial refrigeration applications. |
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