Fins with temperature dependent surface heat flux—I. Single heat transfer mode

Liaw, S.P.; Yeh, Rong‐Hua

doi:10.1016/0017-9310(94)90152-x

Cited by 56 publications

(49 citation statements)

References 10 publications

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“…Figure 5 depicts the temperature distributions for various values of n ∈ {0, 1, 2} with a fixed B value, as seen in [13][14][15]32], along with the related thermal stress distributions. Figure 5a indicates that the temperature decrease along the radius is more moderate for higher values of the HTC's exponent n. This result is consistent with that obtained by Liaw and Yeh [1]. In contrast, the absolute values of the thermal stresses decrease with an increase in the values of n, thereby exhibiting the opposite trend.…”

Section: Parametric Studiessupporting

confidence: 87%

“…Moreover, it is known that, to be exact, the heat transfer coefficient (HTC) on the surfaces of objects is expressed as a function of the temperature difference between the object surface and the surrounding medium. It was reported that the HTC can be expressed as a power function in terms of the temperature difference and that its exponent ranges from −4 to 5 [1] or from −6.6 to 5 [2], depending on the heat transfer mode. The intensity of the internal heat generation is also a parameter that may vary with temperature.…”

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confidence: 99%

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Application of Differential Transform Method to Thermoelastic Problem for Annular Disks of Variable Thickness with Temperature-Dependent Parameters

Chiba

2012

Int J Thermophys

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This article analyzes the one-dimensional steady temperature field and related thermal stresses in an annular disk of variable thickness that has a temperature-dependent heat transfer coefficient and is capable of temperature-dependent internal heat generation. The temperature dependencies of the thermal conductivity, Young's modulus, and the coefficient of linear thermal expansion of the disk are considered, whereas Poisson's ratio is assumed to be constant. The differential transform method (DTM) is employed to analyze not only the nonlinear heat conduction but also the resulting thermal stresses. Analytical solutions are developed for the temperature and thermal stresses in the form of simple power series. Numerical calculations are performed for an annular cooling/heating fin of variable thickness. Numerical results show that the sufficiently converged analytical solutions are in good agreement with the solutions obtained by the Adomian decomposition method and give the effects of the temperature-dependent parameters on the temperature and thermal stress profiles in the disk. The DTM is useful as a new analytical method for solving thermoelastic problems for a body with temperature-dependent parameters including material properties.

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Section: Parametric Studiessupporting

confidence: 87%

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confidence: 99%

Application of Differential Transform Method to Thermoelastic Problem for Annular Disks of Variable Thickness with Temperature-Dependent Parameters

Chiba

2012

Int J Thermophys

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“…The complete solution (1) as given in (8) is obtained once the constant C is determined by imposing the second boundary condition given by Eq. (2). Note that the value of C must lie in the interval (0, 1) to represent the temperature at the fin tip.…”

Section: Ham Solutionsmentioning

confidence: 99%

“…In dimensionless form, the problem reduces to the nonlinear boundary-value problem of a one-dimensional steady-state heat conduction equation for the temperature distribution along a straight fin, cf. [1,2],…”

Section: Introductionmentioning

confidence: 99%