Solution strategy for the inverse determination of the specially varying heat transfer coefficient

Hadała, B.; Malinowski, Z.; Szajding, A.

doi:10.1016/j.ijheatmasstransfer.2016.08.093

Cited by 16 publications

(7 citation statements)

References 33 publications

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“…(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%

“…In Eq. (12) the term in brackets defines the temperature difference ΔT n between two curves: T(τ) and T e (τ) always normal to the T e (τ) curve [35].…”

Section: Forward Problem Formulationmentioning

confidence: 99%

“…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%

“…The dimensionless temperature difference has been extended with the norm of the dimensionless temperature gradients difference. It has been shown [35] that the objective function (13) reduces in inverse solutions the HTC fluctuations resulting from the HTC maxima moving over the cooled surface in time.…”

Section: The Inverse Problem Formulationmentioning

confidence: 99%

“…Minimization of the dimensionless objective function (13) allows determining the HTC distribution over the cooled surface for low and high temperatures and temperature's gradients varying in space and time. The solution strategy for such problems has been developed by Hadała et al [35].…”

Section: The Inverse 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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“…(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%

“…In Eq. (12) the term in brackets defines the temperature difference ΔT n between two curves: T(τ) and T e (τ) always normal to the T e (τ) curve [35].…”

Section: Forward Problem Formulationmentioning

confidence: 99%

“…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%

Section: The Inverse Problem Formulationmentioning

confidence: 99%

Section: The Inverse Problem Formulationmentioning

confidence: 99%

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