Estimation of Cast Iron Substitute Thermal Capacity Using the Experimental Data

Majchrzak, Ewa; Mendakiewicz, J.; Mochnacki, B.

doi:10.1515/amm-2016-0058

Cited by 5 publications

(4 citation statements)

References 16 publications

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“…The task was solved using the explicit scheme of the finite difference method [6,8], while the input data were taken from [1].…”

Section: Methods Of Solution and Results Of Computationsmentioning

confidence: 99%

Archives of Foundry Engineering

Mendakiewicz

2022

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The article concerns the experimental verification of the numerical model simulating the solidification and cooling processes proceeding in the domain of cast iron casting. The approximate course of the function describing the evolution of latent heat and the value of substitute specific heat resulting from its course were obtained using the thermal and derivative analysis (TDA) method The TDA was also used to measure the cooling curves at the distinguished points of the casting. The results obtained in this way were compared with the calculated cooling curves at the same points. At the stage of numerical computations, the explicit scheme of the finite difference method was applied. The agreement between the measured and calculated cooling curves is fully satisfactory.

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“…The task was solved using the explicit scheme of the finite difference method [6,8], while the input data were taken from [1].…”

Section: Methods Of Solution and Results Of Computationsmentioning

confidence: 99%

Archives of Foundry Engineering

Mendakiewicz

2022

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“…9) is considered. The mean thermophysical parameters are the following [6,16]: thermal conductivity λ = 315 W/(mK), volumetric specific heat c = 2.5 MJ/(m 3 K), relaxation time τ q = 8.5 ps, thermalization time τ T = 90 ps. Initial temperature is equal to T 0 = 300K.…”

Section: Results Of Computationsmentioning

confidence: 99%

“…The aim of the considerations presented in this paper is to find the numerical solution of the boundary-initial problem concerning the heat transfer process in the domain of a thin metal film subjected to a laser pulse, while at the same time the thermophysical parameters appearing in the DPLM are treated as interval numbers [3]. The results obtained correspond in a certain sense to the study of temperature field changes due to perturbations of process parameters, this means we enter into the area of problems connected with the sensitivity analysis applications [4,5,6]. Summing up, the approach presented in this paper based on the introduction of interval parameters allows one to obtain a numerical solution (this means the transient temperature field) in the 'fuzzy' form and to observe the changes of temperature due to the parameters' perturbations -in other words a new approach to sensitivity analysis is discussed.…”

Section: Introductionmentioning

confidence: 99%

Application of Interval Arithmetic in Numerical Modeling of Microscale Heat Transfer

Mochnacki¹,

Piasecka-Belkhayat

2016

DDF

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Thermal processes in the domain of a thin metal film which are subjected to a laser pulse are considered. The mathematical model based on the dual phase lag equation (DPLE) results from the generalized form of the Fourier law. The governing equation is supplemented by appropriate boundary and initial conditions. The numerical model of metal heating is constructed using the explicit scheme of the finite difference method for hyperbolic equations. The thermophysical parameters of the material (gold) are treated as interval numbers and at the stage of the FDM algorithm construction the rules of interval arithmetic are applied. In this way the numerical solution is obtained in the fuzzy form. Such an approach gives interesting practical information about the course of the process because the values of thermophysical parameters collected in the literature often differ significantly. In the final part of the paper an example for a numerical solution is presented.

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“…The different forms of equation ( 1) appear at the stage of solidification rate ∂f S /∂t computations (e.g. [1,2,3,4]).…”

Section: Introductionmentioning

confidence: 99%

Numerical Modeling of Solidification Substitute – Thermal Capacity of Binary Alloy

Mochnacki

Szopa

2014

DDF

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Mathematical description of alloys solidification on the macro scale can be formulated using the one domain method (fixed domain approach). The energy equation corresponding to this model contains the parameter called the substitute thermal capacity (STC). The analytical form of STC results from the assumption concerning the course of the functionfS=fS(T) describing the changes of solid state volumetric fraction and the temperature at the point considered. Between border temperaturesTS,TLthe functionfSchanges from 1 to 0. In this paper the volumetric fractionfS(more preciselyfL= 1-fS) is found using the simple models of macrosegregation (the lever arm rule, the Scheil model). In this way one obtains the formulas determining the course of STC resulting from the certain physical considerations and this approach seems to be closer to the real course of thermal processes proceeding in domain of solidifying alloy.

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Estimation of Cast Iron Substitute Thermal Capacity Using the Experimental Data

Cited by 5 publications

References 16 publications

Archives of Foundry Engineering

Archives of Foundry Engineering

Application of Interval Arithmetic in Numerical Modeling of Microscale Heat Transfer

Numerical Modeling of Solidification Substitute – Thermal Capacity of Binary Alloy

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