1D analog behavioral SPICE model for hot wire sensors in the continuum regime

Heyd, Rodolphe; Hadaoui, A.; Saboungi, Marie‐Louise

doi:10.1016/j.sna.2011.11.002

Cited by 8 publications

(5 citation statements)

References 21 publications

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“…The main advantage of the present approach is to allow to write the response δT j (x, t) of the jth layer in term of a Laplace function transfer H j (x, p), deduced from the resolution of the ODE (11). This opens the route to the inverse analysis of thermal signals [8][9][10] and to new sensors exploitation [2], as it will be shown later in this study. Unfortunately this approach is limited to the description of the linear mode of operation of the RTDs.…”

Section: Transfer Function Approach -Inverse Analysismentioning

confidence: 91%

“…This analytical approach also has the advantage to clearly identify the influence of the different physical parameters on the behavior of the system, thus facilitating its optimization for example. Moreover this formalism allows to describe the thermal behavior of the composite system in terms of transfer functions [8,10,11], allowing inverse analysis.…”

Section: Presentation -Mathematical Modelmentioning

confidence: 99%

“…Thus a realistic modelling of these sensors, based for example on electrothermal analogies [10] or on the use of thermal Laplace transfer functions [11], will allow to open new strategies for a wider and a better use of these sensors in the fields of temperature or heat flux measurements, but also for the thermal characterization of materials. We will expose in this chapter a sytemic approach, that includes simultaneously and in a single mathematical environment: a realistic modelling of the sensors and of their interactions with the system under study, both of them being described by partial differential equations (PDEs); the modeling of power, control and signal processing systems, described by electrical circuits and thus ordinary differential equations (ODEs).…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Resistive Electrothermal Sensors, Mechanism of Operation and Modelling

Heyd¹

2015

Heat Transfer Studies and Applications

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Section: Transfer Function Approach -Inverse Analysismentioning

confidence: 91%

Section: Presentation -Mathematical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Resistive Electrothermal Sensors, Mechanism of Operation and Modelling

Heyd¹

2015

Heat Transfer Studies and Applications

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“…Mode of Operation. In order to measure the effective thermal conductivity of our suspensions, we have adapted the 3ω technique, developed by Cahill for the thermal characterization of dielectric solids [20], to the case of electrically conducting liquids [21,22]. This method has been privileged here, rather than the usual transient hot wire (THW) technique, because the use of a very efficient dual-phase synchronous detector (DPSD) allows to use very low amplitudes of the sensing wire temperature (of the order of 1 K), which reduces the influence of natural convection on the thermal diffusivity measurement.…”

Section: Methodsmentioning

confidence: 99%

Experimental Measurements on the Thermal Conductivity of Glycerol-Based Nanofluids with Different Thermal Contrasts

Lotfi

Heyd

Bakak

et al. 2021

Journal of Nanomaterials

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We report, in this work, our study of the thermal conductivity of high-viscosity nanofluids based on glycerol. Three nanofluids have been prepared with different thermal contrasts, by suspending graphene flakes, copper oxides, or silica nanoparticles in pure glycerol. The nanofluids were thermally characterized at room temperature with the 3ω technique, with low amplitudes of the temperature oscillations. A significant enhancement of the thermal conductivity is found in both the glycerol/copper oxide and the glycerol/graphene flake nanofluids. Our results question the role played by the Brownian motion in the microscopic mechanisms of the thermal conductivity of high-viscosity glycerol-based nanofluids. A similar behavior of the thermal conductivity as a function of the nanoparticle volume fraction was found for all three glycerol-based nanofluids presently investigated. These results could be explained on the basis of fractal aggregation in the nanofluids.

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“…To correct this deficiency, it is necessary to develop accurate models of electro-thermal sensors, which integrate interactions between thermal quantities and electrical signals. In reference [ 22 ], Heyd et al used the capability of SPICE for fast and accurate Laplace transform inversion to solve the unsteady heat equation in a hot wire heated by Joule effect and submitted to a fluid flow (hot wire anemometer). In this context, time and position were treated as continuous variables, allowing almost unlimited accuracy in the simulation of the different modes of operation of hot-wire anemometers.…”

Section: Introductionmentioning

confidence: 99%

One-Dimensional Systemic Modeling of Thermal Sensors Based on Miniature Bead-Type Thermistors

Heyd

2021

Sensors

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Accurate measurements of thermal properties is a major concern, for both scientists and the industry. The complexity and diversity of current and future demands (biomedical applications, HVAC, smart buildings, climate change adapted cities, etc.) require making the thermal characterization methods used in laboratory more accessible and portable, by miniaturizing, automating, and connecting them. Designing new materials with innovative thermal properties or studying the thermal properties of biological tissues often require the use of miniaturized and non-invasive sensors, capable of accurately measuring the thermal properties of small quantities of materials. In this context, miniature electro-thermal resistive sensors are particularly well suited, in both material science and biomedical instrumentation, both in vitro and in vivo. This paper presents a one-dimensional (1D) electro-thermal systemic modeling of miniature thermistor bead-type sensors. A Godunov-SPICE discretization scheme is introduced, which allows for very efficient modeling of the entire system (control and signal processing circuits, sensors, and materials to be characterized) in a single workspace. The present modeling is applied to the thermal characterization of different biocompatible liquids (glycerol, water, and glycerol–water mixtures) using a miniature bead-type thermistor. The numerical results are in very good agreement with the experimental ones, demonstrating the relevance of the present modeling. A new quasi-absolute thermal characterization method is then reported and discussed. The multi-physics modeling described in this paper could in the future greatly contribute to the development of new portable instrumental approaches.

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1D analog behavioral SPICE model for hot wire sensors in the continuum regime

Cited by 8 publications

References 21 publications

Resistive Electrothermal Sensors, Mechanism of Operation and Modelling

Resistive Electrothermal Sensors, Mechanism of Operation and Modelling

Experimental Measurements on the Thermal Conductivity of Glycerol-Based Nanofluids with Different Thermal Contrasts

One-Dimensional Systemic Modeling of Thermal Sensors Based on Miniature Bead-Type Thermistors

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