Hybrid Spline Difference Method (HSDM) for Transient Heat Conduction

Wang, Chi-Chang; Chao, Lu-Ping; Liao, Wu-Jung

doi:10.1080/10407790.2012.642278

Cited by 14 publications

(5 citation statements)

References 15 publications

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“…In fact, these coefficients can only be approximately determined. The temperature distributions 1 ( , ) and 2 ( , ) are approximated by the first terms in each of the series expansions, (10) and (11), respectively, and the relations (14) and (16) are accordingly modified to Besides, the coefficients * have been replaced using the approximate form of (18); namely,…”

Section: Discussionmentioning

confidence: 99%

“…The method of numerical analysis was the Gauss-Seidel method and the program was aided by Visual ++ . The coefficients for temperature field in (10) and (11) were evaluated with the aid of (19)-(20) obtained by series truncation method and (24) obtained by point-matching method. And then local dimensionless temperature distributions 1 and 2 can be obtained.…”

Section: Discussionmentioning

confidence: 99%

“…Recently, Wood et al [9] researched the performance indicators for steady-state heat transfer through fin assemblies; they presented several models describing steady-state heat flow through an assembly consisting of a primary wall and attached extended fin. For transient analysis of heat conduction, Wang et al [10] established a new computing method for the cubic spline difference method for the heat conduction problem. Next, Wang et al [11] developed a highly accurate numerical method named the cubic spline difference method and investigated the transient heat conduction problems.…”

Section: Introductionmentioning

confidence: 99%

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The Two-Dimensional Heat Transfer Analysis in Arrayed Fins with the Thermal Dissipation Substrate

2015

Mathematical Problems in Engineering

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The aim of the present study is to investigate the two-dimensional heat transfer analysis in arrayed fins with thermal dissipation substrate. The governing equations for the fins and the substrate are expressed with Laplace equations, and the boundary conditions around the fins and substrate are Robin conditions. The present investigation first aims to provide a solution with regard to the geometry models by a series truncation method. Then the research will compare the results of the series truncation method with the point-matching method. Furthermore, the present study will also discuss the effects of dimension and Biot number of the fins on local dimensionless temperature, mean temperature, and heat transfer rate.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The Two-Dimensional Heat Transfer Analysis in Arrayed Fins with the Thermal Dissipation Substrate

2015

Mathematical Problems in Engineering

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“…During the analytic process, the unknown coefficients of the transduction equations are set arbitrarily. Subsequently, the hybrid spline difference method 40,41 (HSDM) is used to solve the direct problem. The estimated values of voice-coil displacement x(t) and current i(t), being the solutions from the analytic process, are combined with the measured values x mea (t) and i mea (t) to generate Eq.…”

Section: A Cgmmentioning

confidence: 99%

An inverse method for estimating the electromechanical parameters of moving-coil loudspeakers

Tsai

Wang

Huang

2013

The Journal of the Acoustical Society of America

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This article presents an inverse method for estimating the electromechanical parameters of a moving-coil loudspeaker with or without the eddy current and suspension creep effects. With known voice-coil displacement, voice-coil current, and stimulus signal as inputs, four calculation procedures for the direct problem, adjoint problem, sensitivity problem, and conjugate gradient method are involved in inversely solving the unknown electromechanical parameters. The proposed method features high efficiency in solving the direct problem through a hybrid spline difference method. It requires a small number of iterations for the computational algorithm, while offering excellent accuracy in parameter estimations. Analysis results demonstrate small differences between the estimated and measured electromechanical parameters under a variety of stimulus signals, excitation times, and initial guesses. The results are also confirmed by experimental measurements. These results indicate that the proposed method has a strong potential for estimating the electromechanical parameters of moving-coil loudspeakers.

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“…(10), we need to at the same time [32][33][34][35], is a simple and easy method to implement 206 as the FDM. Therefore, the study uses the following discretization equa-207 tions to isolate Eq.…”

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confidence: 99%

Inverse simulation and experimental verification of temperature-dependent thermophysical properties

Ngo

Huang

Wang

2016

International Communications in Heat and Mass Transfer

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Hybrid Spline Difference Method (HSDM) for Transient Heat Conduction

Cited by 14 publications

References 15 publications

The Two-Dimensional Heat Transfer Analysis in Arrayed Fins with the Thermal Dissipation Substrate

The Two-Dimensional Heat Transfer Analysis in Arrayed Fins with the Thermal Dissipation Substrate

An inverse method for estimating the electromechanical parameters of moving-coil loudspeakers

Inverse simulation and experimental verification of temperature-dependent thermophysical properties

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