Dedicated three dimensional numerical models for the inverse determination of the heat flux and heat transfer coefficient distributions over the metal plate surface cooled by water

Malinowski, Z.; Telejko, T.; Hadała, B.; Cebo-Rudnicka, A.; Szajding, A.

doi:10.1016/j.ijheatmasstransfer.2014.03.078

Cited by 45 publications

(22 citation statements)

References 28 publications

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“…The description of the finite element model employed to solve Eq. (1) has been given by Malinowski et al [34]. The solution strategy developed by Hadała et al [35] has been implemented.…”

Section: Forward Problem Formulationmentioning

confidence: 99%

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Implementation of one and three dimensional models for heat transfer coeffcient identification over the plate cooled by the circular water jets

et al. 2017

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A cooling rate affects the mechanical properties of steel which strongly depend on microstructure evolution processes. The heat transfer boundary condition for the numerical simulation of steel cooling by water jets can be determined from the local one dimensional or from the three dimensional inverse solutions in space and time. In the present study the inconel plate has been heated to about 900°C and then cooled by six circular water jets. The plate temperature has been measured by 30 thermocouples. The heat transfer coefficient and the heat flux distributions at the plate surface have been determined in time and space. The one dimensional solutions have given a local error to the heat transfer coefficient of about 35%. The three dimensional inverse solution has allowed reducing the local error to about 20%. The uncertainty test has confirmed that a better approximation of the heat transfer coefficient distribution over the cooled surface can be obtained even for limited number of thermocouples. In such a case it was necessary to constrain the inverse solution with the interpolated temperature sensors. List of symbols ATDAverage temperature difference between measured and computed temperature curves (°C)

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“…The description of the finite element model employed to solve Eq. (1) has been given by Malinowski et al [34]. The solution strategy developed by Hadała et al [35] has been implemented.…”

Section: Forward Problem Formulationmentioning

confidence: 99%

“…The method of the HTC determination over the cooled plate surface proposed by Malinowski et al [34] has been utilized in the present study. The inverse solutions to the HTC distribution over the plate surface have been obtained by minimizing the objective function developed by Hadała et al [35]:…”

Section: The Inverse Problem Formulationmentioning

confidence: 99%

Implementation of one and three dimensional models for heat transfer coeffcient identification over the plate cooled by the circular water jets

et al. 2017

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“…The computation algorithm of solving the inverse problem for cooling a three dimensional plate has been given by Malinowski at al. [11]. The necessary modification resulting from reduction of a three dimensional heat conduction problem to the axially symmetrical one will be given.…”

Section: Numerical Modelmentioning

confidence: 99%

Modelling of Heat Transfer at the Solid to Solid Interface

Rywotycki

Malinowski

Falkus

et al. 2016

Archives of Metallurgy and Materials

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In technological process of steel industry heat transfer is a very important factor. Heat transfer plays an essential role especially in rolling and forging processes. Heat flux between a tool and work piece is a function of temperature, pressure and time. A methodology for the determination of the heat transfer at solid to solid interface has been developed. It involves physical experiment and numerical methods. The first one requires measurements of the temperature variations at specified points in the two samples brought into contact. Samples made of C45 and NC6 steels have been employed in physical experiment. One of the samples was heated to an initial temperature of: 800°C, 1000°C and 1100°C. The second sample has been kept at room temperature. The numerical part makes use of the inverse method for calculating the heat flux and at the interface. The method involves the temperature field simulation in the axially symmetrical samples. The objective function is bulled up as a dimensionless error norm between measured and computed temperatures. The variable metric method is employed in the objective function minimization. The heat transfer coefficient variation in time at the boundary surface is approximated by cubic spline functions. The influence of pressure and temperature on the heat flux has been analysed. The problem has been solved by applying the inverse procedure and finite element method for the temperature field simulations. The self-developed software has been used. The simulation results, along with their analysis, have been presented.

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“…[7] has been utilized in the present study. The inverse solutions to the HTC distribution over the plate surface have been obtained by minimising the objective function:…”

Section: The Inverse Problem Formulationmentioning

confidence: 99%

Heat transfer coefficient distribution over the inconel plate cooled from high temperature by the array of water jets

Malinowski

Telejko

Cebo-Rudnicka

et al. 2016

J. Phys.: Conf. Ser.

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Dedicated three dimensional numerical models for the inverse determination of the heat flux and heat transfer coefficient distributions over the metal plate surface cooled by water

Cited by 45 publications

References 28 publications

Implementation of one and three dimensional models for heat transfer coeffcient identification over the plate cooled by the circular water jets

Implementation of one and three dimensional models for heat transfer coeffcient identification over the plate cooled by the circular water jets

Modelling of Heat Transfer at the Solid to Solid Interface

Heat transfer coefficient distribution over the inconel plate cooled from high temperature by the array of water jets

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