Estimation of Heat Transfer Coefficient in Two-Dimensional Inverse Heat Conduction Problems

Chen, Han Taw; Wu, Xin

doi:10.1080/10407790600859791

Cited by 22 publications

(8 citation statements)

References 11 publications

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“…, C M t ) is minimum. The detailed computational procedures for determining the unknown coefficient C j can be found from References [13,[15][16][17]. In order to avoid repetition, they are not shown in this paper.…”

Section: Mathematical Formulationmentioning

confidence: 98%

“…On the other hand, due to experimental uncertainties, more realistic measurements should add simulated small random errors to exact data obtained from the solution of the related direct problem, as shown in References [13,[15][16][17]. In order to simulate the experimental measured temperature T exp i,r , the exact solution T exa i,r should be modified by adding a small random error.…”

Section: Mathematical Formulationmentioning

confidence: 98%

“…M denotes the number of the discrete measurement times. It can be found from [13,[17][18][19] that a smooth curve is frequently selected to experimental measured data. Thus, a curve-fitted profile generated through a least-squares process is used to fit the simulated experimental temperatures with measurement errors.…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…Chen and Wu [17] applied the hybrid inverse scheme [15,16] in conjunction with the experimental temperature data to predict the unknown surface temperature, heat flux and absorptivity in one-dimensional heat conduction problems. Recently, Chen and Wu [13] used the finite difference method in conjunction with the least-squares scheme, cubic spline and temperature measurements to estimate the steady heat transfer coefficient on a surface exposed to a moving fluid. The results showed that a good estimation of the steady heat transfer coefficient on the boundary surface can be obtained.…”

Section: Introductionmentioning

confidence: 99%

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Investigation of heat transfer coefficient in two‐dimensional transient inverse heat conduction problems using the hybrid inverse scheme

Chen

2007

Numerical Meth Engineering

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SUMMARYA hybrid scheme of the Laplace transform, finite difference and least-squares methods in conjunction with a sequential-in-time concept, cubic spline and temperature measurements is applied to predict the heat transfer coefficient distribution on a boundary surface in two-dimensional transient inverse heat conduction problems. In this study, the functional form of the heat transfer coefficient is unknown a priori. The whole spatial domain of the unknown heat transfer coefficient is divided into several analysis sub-intervals. Later, a series of connected cubic polynomial function in space and a linear function in time can be applied to estimate the unknown surface conditions. Due to the application of the Laplace transform, the unknown heat transfer coefficient can be estimated from a specific time. In order to evidence the accuracy of the present inverse scheme, comparisons among the present estimates, previous results and exact solution are made. The results show that the present inverse scheme not only can reduce the number of the measurement locations but also can increase the accuracy of the estimated results. Good estimation on the heat transfer coefficient can be obtained from the knowledge of the transient temperature recordings even in the case with measurement errors.

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Section: Mathematical Formulationmentioning

confidence: 98%

Section: Mathematical Formulationmentioning

confidence: 98%

Section: Mathematical Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Investigation of heat transfer coefficient in two‐dimensional transient inverse heat conduction problems using the hybrid inverse scheme

Chen

2007

Numerical Meth Engineering

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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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Thermostressed state of an infinite cylindrical shell with coordinate-dependent heat exchange coefficients and ambient temperature

Chyzh¹

2012

J Math Sci

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Estimation of Heat Transfer Coefficient in Two-Dimensional Inverse Heat Conduction Problems

Cited by 22 publications

References 11 publications

Investigation of heat transfer coefficient in two‐dimensional transient inverse heat conduction problems using the hybrid inverse scheme

Investigation of heat transfer coefficient in two‐dimensional transient inverse heat conduction problems using the hybrid inverse scheme

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

Thermostressed state of an infinite cylindrical shell with coordinate-dependent heat exchange coefficients and ambient temperature

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