Identification models for transient heat transfer on a flat plate

The transient fin model introduced recently for determination of the in-plane thermal diffusivity of planar samples with the help of infrared thermography was modified so as to be applicable to poor heat conductors. The new model now includes a temperature-dependent heat loss by convective heat transfer, suitable for an experimental setup in which the sample is aligned parallel to a weak, forced air flow stabilizing otherwise the convective heat transfer. The temperature field in the sample was measured with an infrared camera while the sample was heated at one edge. The symmetric temperature field created was averaged over the central fifth of the sample to obtain one-dimensional temperature profiles, both transient and stationary, which were fitted by a numerical solution of the fin model. One of the fitting parameters was the thermal diffusivity, and with a known density and specific heat capacity, the thermal conductivity was thus determined. The test measurements with tantalum samples gave the result (57.5 ± 0.2) W · m −1 · K −1 in excellent agreement with the known value. The other fitting parameter was a temperature-dependent heat loss coefficient from which the lower limit for the temperature-dependent convection coefficient was determined. For the stationary state the result was (1.0 ± 0.2) W · m −2 · K −1 at the temperature of the flowing air, and its temperature dependence was found to be (0.22 ± 0.01) W · m −2 · K −2 .

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“…[9,10]. However, to our knowledge the temperature dependence of the coefficient has not been measured before.…”

Section: Discussionmentioning

confidence: 91%

Measurement of the In-plane Thermal Diffusivity and Temperature-Dependent Convection Coefficient Using a Transient Fin Model and Infrared Thermography

et al. 2009

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“…(11) We now determine the constants of integration c 3 ÷ c 6 from the conditions of restraining of both edges of the plate-strip…”

Section: Consider the Problem Of Bending The Solution Of The System mentioning

confidence: 99%

“…In numerous works, the Ritz and Bubnov-Galerkin methods, as well as the methods of finite differences and finite and boundary elements are extensively used and rapidly developed [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Problem of Thermoelasticity for an Orthotropic Plate-Strip of Variable Thickness with Regard for Transverse Shear

Kirakosyan

Stepanyan

2015

J Math Sci

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“…Piecewise homogeneous cylindrical shells with cracks were investigated in [4,5]. The works [12,13] are devoted to the determination of variable heat-transfer coefficients in the plates.…”

Section: Introductionmentioning

confidence: 99%

Influence of the Variable Heat-Transfer Coefficients on Thermal Stresses in a Finite Cylindrical Shell

Khapko¹,

Chyzh²

2016

J Math Sci

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We study the thermal stressed state of a finite cylindrical shell (with conditions of sliding restraint imposed on its end faces) caused by the difference of temperatures of the ambient medium on the front faces of the shell and the coordinate-dependent heat-transfer coefficients on these faces. We propose a method for the reduction of the boundary-value problem of heat conduction to a coupled system of Fredholm integral equations of the second kind and present the results of numerical analysis of the distributions of mean temperature and temperature moment and the values of parameters induced by these distributions, namely, the deflection, elongation, forces, and bending moments.

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Identification models for transient heat transfer on a flat plate

Cited by 6 publications

References 10 publications

Measurement of the In-plane Thermal Diffusivity and Temperature-Dependent Convection Coefficient Using a Transient Fin Model and Infrared Thermography

Measurement of the In-plane Thermal Diffusivity and Temperature-Dependent Convection Coefficient Using a Transient Fin Model and Infrared Thermography

Problem of Thermoelasticity for an Orthotropic Plate-Strip of Variable Thickness with Regard for Transverse Shear

Influence of the Variable Heat-Transfer Coefficients on Thermal Stresses in a Finite Cylindrical Shell

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