Abstract:Thermocouples are widely used to measure both transient and steady state temperatures in many different materials. Bead diameters range from a few micrometers to several millimeters. During steady state operations, dynamic response is not an issue. However, during fluctuating conditions, the temporal response of the thermocouple must be taken into account. Several different techniques have been developed to measure the response characteristics of measurements in inert gases and liquids, but to the authors know… Show more
“…The Beltrami equations in (6) in metric (15) have the form (16) where . The inverted Beltrami equations in metric tensor (15) are written as (17) where (18) Diffusion equations (8) in metric (15) are given by (19) Therefore, in this metric, the inverted diffusion equations required for adaptive grid generation in have the form…”
Section: Inverted Beltrami and Diffusion Equationsmentioning
confidence: 99%
“…Grounded thermocouple sensors find wide applications in various engineering devices used to measure heat fluxes in complex heat stressed structures [14], various heat exchange devices [15], and in the burn ing of unitary solid fuel [16][17][18]. In this case, the problem arises of estimating the reliability of quantities derived from thermocouple measurements.…”
Section: Adaptive Grid Generation Near Curves and Surfacesmentioning
New results concerning the construction and application of adaptive numerical grids for solving applied problems are presented. The grid generation technique is based on the numerical solu tion of inverted Beltrami and diffusion equations for a monitor metric. The capabilities of the spherical metric tensor as applied to adaptive grid generation are examined in detail. Adaptive hexahedral grids are used to numerically solve a boundary value problem for the three dimensional heat equation with a moving boundary in a continuous medium with discontinuous thermophysical parameters; this problem models the interaction of a thermal wave with a thermocouple embedded in the solid.
“…The Beltrami equations in (6) in metric (15) have the form (16) where . The inverted Beltrami equations in metric tensor (15) are written as (17) where (18) Diffusion equations (8) in metric (15) are given by (19) Therefore, in this metric, the inverted diffusion equations required for adaptive grid generation in have the form…”
Section: Inverted Beltrami and Diffusion Equationsmentioning
confidence: 99%
“…Grounded thermocouple sensors find wide applications in various engineering devices used to measure heat fluxes in complex heat stressed structures [14], various heat exchange devices [15], and in the burn ing of unitary solid fuel [16][17][18]. In this case, the problem arises of estimating the reliability of quantities derived from thermocouple measurements.…”
Section: Adaptive Grid Generation Near Curves and Surfacesmentioning
New results concerning the construction and application of adaptive numerical grids for solving applied problems are presented. The grid generation technique is based on the numerical solu tion of inverted Beltrami and diffusion equations for a monitor metric. The capabilities of the spherical metric tensor as applied to adaptive grid generation are examined in detail. Adaptive hexahedral grids are used to numerically solve a boundary value problem for the three dimensional heat equation with a moving boundary in a continuous medium with discontinuous thermophysical parameters; this problem models the interaction of a thermal wave with a thermocouple embedded in the solid.
“…Laser heating measurements of these thermocouples in air and in water give a response time of between 1.5 and 10 ms depending on the thermal conductivity of the surrounding medium [33,34]. This range is used to deconvolve the temperature measurements in the ignition volume and back out actual HE temperatures.…”
“…Conclusions (1) Numerical simulation has revealed the presence of a considerable error in temperature measurement in SP with the use of a thermocouple. The magnitude of this error depends both on the burning rate and the size of the thermocouple junction.…”
mentioning
confidence: 97%
“…Unfortunately, this fact was not properly attended for a long time and the error estimates for temperature measurements by thermocouples are quite contradictory. There are just a few studies [1][2][3] considering this problem. Therefore, in this paper we study the indicated heat exchange processes with the use of numerical simulation and give estimates of possible errors in temperature measurement in SP by thermocouples.…”
The problem of interaction of a thermocouple inserted into a unitary solid propellant with a moving heat wave spreading inside the propellant from the combustion surface is considered. The results of numerical modelling showed that a heat sink directed deep into the propellant occurs along the thermocouple wire because of large differences in the heat conductivity coefficients of the propellant and the thermocouple material, which essentially changes the temperature of the thermocouple junction and hence distorts the indications.
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