An inverse approach for the interfacial heat transfer parameters in alloys solidification

Oliveira, Edilma; Stieven, Gianfranco; Lins, Erb F.; Vaz, Jerson Rogério Pinheiro

doi:10.1016/j.applthermaleng.2019.03.084

Cited by 17 publications

(8 citation statements)

References 22 publications

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“…• Priori information of parameter A: 6430 W m 2 K [37]; • Priori information of parameter B: -0.153 [37];…”

Section: Inverse Methodologyunclassified

“…In this technique, the domain is divided into a set of interconnected volumes and, afterwards, the conservation law is applied to each volume. More details of the mathematical approach can be seen in [37].…”

Section: Mathematical and Numerical Descriptions For Direct Problemmentioning

confidence: 99%

“…To represent the IHTC, the model expressed in Eq. 8 [18,65,37,54] was chosen, once is one of the most applied non-constant model of IHTC. In this equation, t represents time and t0 a referential time (t0 = 1 s) and…”

Section: Mathematical and Numerical Descriptions For Direct Problemmentioning

confidence: 99%

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Performance Analysis of Metaheuristic Optimization Algorithms in Estimating the Interfacial Heat Transfer Coefficient on Directional Solidification

Stieven,

Oliveira,

Lins

2020

Preprint

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In this paper is proposed an evaluation of ten metaheuristic optimization algorithms applied on the inverse optimization of the Interfacial Heat Transfer Coefficient (IHTC) coupled on the solidification phenomenon. It was considered an upward directional solidification system for Al-7wt.% Si alloy and, for IHTC model, a exponential time function. All thermophysical properties of the alloy were considered constant. Scheil Rule was used as segregation model ahead phase-transformation interface. Optimization results from Markov Chain Monte Carlo method (MCMC) were considered as reference. Based on average, quantiles 95% and 5%, kurtosis, average iterations and absolute errors of the metaheuristic methods, in relation to MCMC results, the Flower Pollination Algorithm (FPA) and Moth-Flame Optimization (MFO) presented the most appropriate results, outperforming the other methods in this particular phenomenon, based on these metrics. The regions with the most probable values for parameters in IHTC time function were also determined.

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“…• Priori information of parameter A: 6430 W m 2 K [37]; • Priori information of parameter B: -0.153 [37];…”

Section: Inverse Methodologyunclassified

Section: Mathematical and Numerical Descriptions For Direct Problemmentioning

confidence: 99%

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Performance Analysis of Metaheuristic Optimization Algorithms in Estimating the Interfacial Heat Transfer Coefficient on Directional Solidification

Stieven,

Oliveira,

Lins

2020

Preprint

Self Cite

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“…High energy mechanical alloying (HEMA), however, entirely disregards the necessity of complex melting procedures, which usually need advanced studies in order to understand the processes of melting and solidification [27]. On the other hand, HEMA is a low-energy solid-state processing method that is capable of synthesis of the amorphous phases in powder form.…”

Section: Introductionmentioning

confidence: 99%

Microstructure and Mechanical Properties of Spark Plasma Sintered Mg-Zn-Ca-Pr Alloy

Hrapkowicz

Lesz

Karolus

et al. 2022

Metals

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Alloys based on magnesium are of considerable scientific interest as they have very attractive mechanical and biological properties that could be used to manufacture biodegradable materials for medical applications. Mechanical alloying is a very suitable process to obtain alloys that are normally hard to produce as it allows for solid-state diffusion via highly energetic milling, producing fine powders. Powders obtained by this method can be sintered into nearly net-shape products, moreover, their phase and chemical composition can be specifically tailored. This work aims to investigate the effect of milling time on the density, microstructure, phase composition, and mechanical properties of Mg-Zn-Ca-Pr powders processed by high energy mechanical alloying (HEMA) and consolidated by spark plasma sintering (SPS). Thus, the results of XRD phase analysis, particle size distribution (granulometry), density, mechanical properties, SEM investigation of mechanically alloyed and sintered Mg-Zn-Ca-Pr alloy are presented in this manuscript. The obtained results illustrate how mechanical alloying can be used to produce amorphous and crystalline materials, which can be sintered and demonstrates how the milling time impacts their microstructure, phase composition, and resulting mechanical properties.

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“…Cui et al [16,17] developed an improved Levenberg-Marquardt (L-M) algorithm for solving inverse problems. Oliveira et al [18] used the Levenberg-Marquardt technique to determine the interfacial heat transfer coefficient.…”

Section: Introductionmentioning

confidence: 99%

Estimation of Heat Flux in Two-Dimensional Nonhomogeneous Parabolic Equation Based on a Sufficient Descent Levenberg–Marquard Algorithm

Pang

et al. 2021

Journal of Mathematics

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The main work of this paper focuses on identifying the heat flux in inverse problem of two-dimensional nonhomogeneous parabolic equation, which has wide application in the industrial field such as steel-making and continuous casting. Firstly, the existence of the weak solution of the inverse problem is discussed. With the help of forward solution and dual equation, this paper proves the Lipchitz continuity of the cost function and derives the Lipchitz constant. Furthermore, in order to accelerate the convergence rate and reduce the running time, this paper presents a sufficient descent Levenberg–Marquard algorithm with adaptive parameter (SD-LMAP) to solve this inverse problem. At last, compared with other methods, the results of simulation experiment show that this algorithm can obviously reduce the running time and iterative number.

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An inverse approach for the interfacial heat transfer parameters in alloys solidification

Cited by 17 publications

References 22 publications

Performance Analysis of Metaheuristic Optimization Algorithms in Estimating the Interfacial Heat Transfer Coefficient on Directional Solidification

Performance Analysis of Metaheuristic Optimization Algorithms in Estimating the Interfacial Heat Transfer Coefficient on Directional Solidification

Microstructure and Mechanical Properties of Spark Plasma Sintered Mg-Zn-Ca-Pr Alloy

Estimation of Heat Flux in Two-Dimensional Nonhomogeneous Parabolic Equation Based on a Sufficient Descent Levenberg–Marquard Algorithm

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