Optimal experiment design for thermal property estimation using a boundary condition of the fourth kind with a time-limited heating period
| Autor: | Giampaolo D’Alessandro, Filippo de Monte |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Optimal design
Materials science transient heat conduction 02 engineering and technology 01 natural sciences Heat capacity 010305 fluids & plasmas Thermal conductivity Volumetric heat capacity 0103 physical sciences Thermal Boundary value problem Sensitivity (control systems) Fluid Flow and Transfer Processes optimal experiment design fourth kind boundary condition high-conductivity materials Mechanical Engineering Design of experiments thermal properties Mechanics 021001 nanoscience & nanotechnology Condensed Matter Physics D-optimum criterion optimal experiment design D-optimum criterion fourth kind boundary condition transient heat conduction thermal properties high-conductivity materials 0210 nano-technology |
| Zdroj: | International Journal of Heat and Mass Transfer. 134:1268-1282 |
| ISSN: | 0017-9310 |
| DOI: | 10.1016/j.ijheatmasstransfer.2019.02.035 |
| Popis: | An optimal design of a three-layer experimental apparatus where a thin heater is placed between two identical samples is proposed. It allows thermal conductivity and volumetric heat capacity of high-conductivity materials to be estimated when the heating period is finite and the heater heat capacity is not negligible. Once the thermal field within the sample is known and the sensitivity coefficients are computed, a D-optimum criterion is applied in order to minimize the area of the confidence region of the estimates. Three experimental variables (experiment duration, heating duration and sensor location) are investigated for different values of the heater heat capacity. For instance, when it is 5% of the sample heat capacity, the optimal experiment duration is of about 4% longer than that occurring when the heater is neglected. However, the heater heat capacity does not affect the optimal heating duration and the optimal sensor locations. |
| Databáze: | OpenAIRE |
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