Mathematical Model for Localised and Surface Heat Flux of the Human Body Obtained from Measurements Performed with a Calorimetry Minisensor
The accuracy of the direct and local measurements of the heat power dissipated by the surface of the human body, using a calorimetry minisensor, is directly related to the calibration rigor of the sensor and the correct interpretation of the experimental results. For this, it is necessary to know th...
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MDPI AG
2017-11-01
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| Series: | Sensors |
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| Online Access: | https://www.mdpi.com/1424-8220/17/12/2749 |
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| author | Fabiola Socorro Pedro Jesús Rodríguez de Rivera Miriam Rodríguez de Rivera Manuel Rodríguez de Rivera |
| author_facet | Fabiola Socorro Pedro Jesús Rodríguez de Rivera Miriam Rodríguez de Rivera Manuel Rodríguez de Rivera |
| author_sort | Fabiola Socorro |
| collection | DOAJ |
| description | The accuracy of the direct and local measurements of the heat power dissipated by the surface of the human body, using a calorimetry minisensor, is directly related to the calibration rigor of the sensor and the correct interpretation of the experimental results. For this, it is necessary to know the characteristics of the body’s local heat dissipation. When the sensor is placed on the surface of the human body, the body reacts until a steady state is reached. We propose a mathematical model that represents the rate of heat flow at a given location on the surface of a human body by the sum of a series of exponentials: W(t) = A0 + ∑Aiexp(−t/τi). In this way, transient and steady states of heat dissipation can be interpreted. This hypothesis has been tested by simulating the operation of the sensor. At the steady state, the power detected in the measurement area (4 cm2) varies depending on the sensor’s thermostat temperature, as well as the physical state of the subject. For instance, for a thermostat temperature of 24 °C, this power can vary between 100–250 mW in a healthy adult. In the transient state, two exponentials are sufficient to represent this dissipation, with 3 and 70 s being the mean values of its time constants. |
| first_indexed | 2024-04-12T20:01:14Z |
| format | Article |
| id | doaj.art-72e03a3cd4e14aad8938dea0776fe068 |
| institution | Directory Open Access Journal |
| issn | 1424-8220 |
| language | English |
| last_indexed | 2024-04-12T20:01:14Z |
| publishDate | 2017-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Sensors |
| spelling | doaj.art-72e03a3cd4e14aad8938dea0776fe0682022-12-22T03:18:32ZengMDPI AGSensors1424-82202017-11-011712274910.3390/s17122749s17122749Mathematical Model for Localised and Surface Heat Flux of the Human Body Obtained from Measurements Performed with a Calorimetry MinisensorFabiola Socorro0Pedro Jesús Rodríguez de Rivera1Miriam Rodríguez de Rivera2Manuel Rodríguez de Rivera3Departamento de Física, Universidad de Las Palmas de Gran Canaria, E-35017 Las Palmas de Gran Canaria, SpainDepartamento de Física, Universidad de Las Palmas de Gran Canaria, E-35017 Las Palmas de Gran Canaria, SpainDepartamento de Física, Universidad de Las Palmas de Gran Canaria, E-35017 Las Palmas de Gran Canaria, SpainDepartamento de Física, Universidad de Las Palmas de Gran Canaria, E-35017 Las Palmas de Gran Canaria, SpainThe accuracy of the direct and local measurements of the heat power dissipated by the surface of the human body, using a calorimetry minisensor, is directly related to the calibration rigor of the sensor and the correct interpretation of the experimental results. For this, it is necessary to know the characteristics of the body’s local heat dissipation. When the sensor is placed on the surface of the human body, the body reacts until a steady state is reached. We propose a mathematical model that represents the rate of heat flow at a given location on the surface of a human body by the sum of a series of exponentials: W(t) = A0 + ∑Aiexp(−t/τi). In this way, transient and steady states of heat dissipation can be interpreted. This hypothesis has been tested by simulating the operation of the sensor. At the steady state, the power detected in the measurement area (4 cm2) varies depending on the sensor’s thermostat temperature, as well as the physical state of the subject. For instance, for a thermostat temperature of 24 °C, this power can vary between 100–250 mW in a healthy adult. In the transient state, two exponentials are sufficient to represent this dissipation, with 3 and 70 s being the mean values of its time constants.https://www.mdpi.com/1424-8220/17/12/2749direct calorimetryheat conduction calorimetersisothermal calorimetersmedical calorimetrynon-differential calorimeters |
| spellingShingle | Fabiola Socorro Pedro Jesús Rodríguez de Rivera Miriam Rodríguez de Rivera Manuel Rodríguez de Rivera Mathematical Model for Localised and Surface Heat Flux of the Human Body Obtained from Measurements Performed with a Calorimetry Minisensor Sensors direct calorimetry heat conduction calorimeters isothermal calorimeters medical calorimetry non-differential calorimeters |
| title | Mathematical Model for Localised and Surface Heat Flux of the Human Body Obtained from Measurements Performed with a Calorimetry Minisensor |
| title_full | Mathematical Model for Localised and Surface Heat Flux of the Human Body Obtained from Measurements Performed with a Calorimetry Minisensor |
| title_fullStr | Mathematical Model for Localised and Surface Heat Flux of the Human Body Obtained from Measurements Performed with a Calorimetry Minisensor |
| title_full_unstemmed | Mathematical Model for Localised and Surface Heat Flux of the Human Body Obtained from Measurements Performed with a Calorimetry Minisensor |
| title_short | Mathematical Model for Localised and Surface Heat Flux of the Human Body Obtained from Measurements Performed with a Calorimetry Minisensor |
| title_sort | mathematical model for localised and surface heat flux of the human body obtained from measurements performed with a calorimetry minisensor |
| topic | direct calorimetry heat conduction calorimeters isothermal calorimeters medical calorimetry non-differential calorimeters |
| url | https://www.mdpi.com/1424-8220/17/12/2749 |
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