Analysis of dual-phase-lag heat conduction in short-pulse laser heating of metals with a hybrid method

Lee, Haw Long; Chen, Wen Lih; Chang, Win−Jin; Wei, Eing Jer; Yu, Yang

doi:10.1016/j.applthermaleng.2012.12.019

Cited by 26 publications

(8 citation statements)

References 19 publications

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“…e findings revealed that the performance of ANN is better than the SVM method. Wei [27] constructed a hybrid method by comparing genetic algorithm with ANFIS for stock price prediction. Root-mean-square error evaluates the method during the six-year period of the TAIEX.…”

Section: Review Of Literaturementioning

confidence: 99%

An Application of Hybrid Models for Weekly Stock Market Index Prediction: Empirical Evidence from SAARC Countries

Zhang

Khan

et al. 2021

Complexity

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The foremost aim of this research was to forecast the performance of three stock market indices using the multilayer perceptron (MLP), recurrent neural network (RNN), and autoregressive integrated moving average (ARIMA) on historical data. Moreover, we compared the extrapolative abilities of a hybrid of ARIMA with MLP and RNN models, which are called ARIMA-MLP and ARIMA-RNN. Because of the complicated and noisy nature of financial data, we combine novel machine-learning techniques such as MLP and RNN with ARIMA model to predict the three stock market data. The data used in this study are taken from the Pakistan Stock Exchange, National Stock Exchange India, and Sri Lanka Stock Exchange. In the case of Pakistan, the findings show that the ARIMA-MLP and ARIMA-RNN beat the individual ARIMA, MLP, and RNN models in terms of accuracy. Similarly, in the case of Sri Lanka and India, the hybrid models show more robustness in terms of forecasting than individual ARIMA, MLP, and RNN models based on root-mean-square error and mean absolute error. Apart from this, ARIMA-MLP outperformed the ARIMA-RNN in the case of Pakistan and India, while in the context of Sri Lanka, ARIMA-RNN beat the ARIMA-MLP in forecasting. Our findings reveal that the hybrid models can be regarded as a suitable option for financial time-series forecasting.

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Section: Review Of Literaturementioning

confidence: 99%

An Application of Hybrid Models for Weekly Stock Market Index Prediction: Empirical Evidence from SAARC Countries

Zhang

Khan

et al. 2021

Complexity

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“…These conditions can be derived from Equation (9). In Equations (14) and (15), ϕ and ψ are dimensionless initial condition function and dimensionless initial rate of temperature change function, respectively.…”

Section: Hyperbolic Heat Conductionmentioning

confidence: 99%

“…Different solution procedures for Equation (6) with different boundary and initial conditions for finite media can be found in literature. The analytical, numerical, and experimental methods were used in many researches for analysis and calculating the rate of heat transfer in applied physics problems [8][9][10]. Using the heat sources such as lasers and microwaves at very small times of applying the heat or high frequencies has a great deal of application in analytical physics, applied sciences, and engineering.…”

Section: Introductionmentioning

confidence: 99%

Analytical Solution of Heat Conduction in a Symmetrical Cylinder Using the Solution Structure Theorem and Superposition Technique

et al. 2019

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In this paper, non-Fourier heat conduction in a cylinder with non-homogeneous boundary conditions is analytically studied. A superposition approach combining with the solution structure theorems is used to get a solution for equation of hyperbolic heat conduction. In this solution, a complex origin problem is divided into, different, easier subproblems which can actually be integrated to take the solution of the first problem. The first problem is split into three sub-problems by setting the term of heat generation, the initial conditions, and the boundary condition with specified value in each sub-problem. This method provides a precise and convenient solution to the equation of non-Fourier heat conduction. The results show that at low times (t = 0.1) up to about r = 0.4, the contribution of T1 and T3 dominate compared to T2 contributing little to the overall temperature. But at r > 0.4, all three temperature components will have the same role and less impact on the overall temperature (T).

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“…Moradi and Ahmadikia [56] studied the solidification process in biological tissues with blood flow and metabolism effects using the DPL model. Numerical solution of the DPL model has been applied to investigate the transient heat transfer in a thin metal film exposed to short-pulse laser heating by Lee et al [57]. Hu and Chen [58] employed DPL model to analyze the transient temperature field around a partially insulated crack in a half-plane.…”

Section: Introductionmentioning

confidence: 99%

Periodic Heat Transfer in Convective Fins Based on Dual-Phase-Lag Theory

Askarizadeh

Ahmadikia

2016

Journal of Thermophysics and Heat Transfer

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Heat transfer enhancement through extended surfaces is crucial in modern engineering applications such as microelectromechanical systems and electronic components. Conduction heat transfer is the only way to achieve this objective when the mixing augmentation is not possible. This paper investigates the effects of non-Fourier thermal conduction in convective straight fins with arbitrary constant cross section under periodic boundary conditions by introducing the exact analytical solution for the dual-phase-lag heat conduction. The corresponding analytical approach is developed through the Laplace transform method and inversion theorem. To help advance the understanding of fin thermophysical behavior, a generalized model of conduction heat transfer equation is used for studying all of the interpretations to Fourier-based model, namely, parabolic thermal diffusion, hyperbolic thermal wave, and dual-phase-lag models. Heat flux and temperature gradient relaxation times are the characteristics of the dual-phase-lag model, and the simulation results are strictly a function of these two parameters. Therefore, fin temperature distributions are presented for flux precedence and gradient precedence heat flow regimes. Calculations are performed to investigate the influence of temperature gradient relaxation time on the hyperbolic heat conduction characteristics of non-Fourier fins. Nomenclature A= fin cross section, m 2 C = thermal wave speed, m · s −1 C 1 -C 4 = constant coefficients c = specific heat of fin, J · kg −1 · K −1 dA s = peripheral surface of fin element, m 2 H = dimensionless convective heat transfer coefficient h = convective heat transfer coefficient, W · m −2 · K −1 k = fin thermal conductivity, W · m −1 · K −1 L = fin length, m n = nonnegative integer number p = perimeter of fin element, m q = heat transfer rate, W · m −2 r = nonnegative integer number s = Laplace domain parameter T = fin temperature,°C T b = fin base temperature,°C T b;m = average of fin base temperature,°C T 0 = initial temperature of fin,°C T ∞ = ambient temperature,°C t = time, s x = coordinate variable, m α = fin thermal diffusivity, m 2 · s −1 Γ = dimensionless temperature gradient relaxation time η = dimensionless coordinate parameter θ = dimensionless fin temperature θ ∞ = dimensionless ambient temperature Λ = dimensionless heat flux relaxation time λ n = 2n 1π∕2, eigenvalues ξ = dimensionless time ρ = fin material density, kg · m −3 τ q = heat flux relaxation time, s τ T = temperature gradient relaxation time, s φ = amplitude of periodic base temperature Ω = dimensionless base temperature frequency ω = base temperature frequency, s −1

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Analysis of dual-phase-lag heat conduction in short-pulse laser heating of metals with a hybrid method

Cited by 26 publications

References 19 publications

An Application of Hybrid Models for Weekly Stock Market Index Prediction: Empirical Evidence from SAARC Countries

An Application of Hybrid Models for Weekly Stock Market Index Prediction: Empirical Evidence from SAARC Countries

Analytical Solution of Heat Conduction in a Symmetrical Cylinder Using the Solution Structure Theorem and Superposition Technique

Periodic Heat Transfer in Convective Fins Based on Dual-Phase-Lag Theory

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