Inverse Analysis of a Porous Fin to Estimate Time-Dependent Base Temperature

Baghban, Mojtaba; Shams, Zohreh; Ebrahimifakhar, Amir

doi:10.2514/1.t5004

Cited by 9 publications

(2 citation statements)

References 30 publications

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“…at a location x in the material. Equation (3) is usually deconvolved using some regularization scheme to obtain the heat flux in the convolution integral [23,24]. Hence, in order to measure the net heat flux to a porous material the respective impulse response is required.…”

Section: Introductionmentioning

confidence: 99%

Thermal Impulse Response in Porous Media for Transpiration-Cooling Systems

Hermann¹,

McGilvray²,

Ifti³

et al. 2020

Journal of Thermophysics and Heat Transfer

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A solution of the coupled differential equations for fluid and solid phase in a one-dimensional porous medium in thermal non-equilibrium is presented using the concept of analyzing the impulse response. The impulse response is shown to be sensitive to the volumetric heat transfer coefficient and the coolant mass flux. Experimental data obtained from surface heating of transpiration cooled porous ZrB 2 samples is compared to a newly developed theoretical model. The surface and backside temperature of the solid are measured using thermographic imaging and thermocouple instrumentation. The non-integer system identification approach is used to experimentally obtain the thermal impulse response which is then compared to the model prediction. Good agreement is found between the simulated and experimental data with average deviations below 10 %. The developed model provides the basis for inverse heat transfer measurements and further analysis of transpiration cooled materials. Nomenclature a Heat loss constant, W m −3 K −1 A Coefficient in Laplace-space B Coefficient in Laplace-space c p Specific heat capacity, J kg −1 K −1 C Coefficient for analytical temperature solution, K d Length of square illuminated by the laser radiation H Impulse response, K h v Volumetric heat transfer coefficient, W m −3 K −1 J Iteration parameter

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Section: Introductionmentioning

confidence: 99%

Thermal Impulse Response in Porous Media for Transpiration-Cooling Systems

Hermann¹,

McGilvray²,

Ifti³

et al. 2020

Journal of Thermophysics and Heat Transfer

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show abstract

“…The thermal impulse response of a system is the central requirement for the analysis of inverse heat conduction problems, i. e. for heat flux measurements based on in depth or surface temperature measurements. 34,35 Analytical analyses of the coupled differential equations have been conducted in Refs. 25,36 This paper presents the theoretical derivation of the impulse responses for solid and fluid phases.…”

Section: Introductionmentioning

confidence: 99%

Fluid-Solid Heat Exchange in Porous Media for Transpiration Cooling Systems

Hermann

McGilvray

Ifti

et al. 2019

AIAA Scitech 2019 Forum

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This paper presents a semi-analytical solution of the coupled differential equations for fluid and solid phase in a one-dimensional porous medium in thermal non-equilibrium. The thermal impulse response of the fluid and solid phases is used to determine the pressure loss over the thickness of the material. Experimental data obtained from surface heating of porous ZrB2 samples is compared to the theoretical model. The plenum pressure, surface temperature and backside temperature are measured using pressure sensors, thermographic imaging and thermocouple instrumentation The non-integer system identification (NISI) approach is used to obtain the thermal impulse response which is then compared with the model prediction. Plenum pressure rise and thermal impulse response of the heating experiments are used to assess the volumetric heat transfer coefficient of the sample. Good agreement is found between the simulated and experimental data for the temperature and pressure measurements. The obtained heat transfer coefficients are between 2.1 • 10 4 and 6.8 • 10 4 W m −3 K −1 for mass fluxes of 10 to 244 g m −2 s −1 .

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An accurate approach for thermal analysis of porous longitudinal, spine and radial fins with all nonlinearity effects – analytical and unified assessment

Kundu

Yook

2021

Applied Mathematics and Computation

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Inverse Analysis of a Porous Fin to Estimate Time-Dependent Base Temperature

Cited by 9 publications

References 30 publications

Thermal Impulse Response in Porous Media for Transpiration-Cooling Systems

Thermal Impulse Response in Porous Media for Transpiration-Cooling Systems

Fluid-Solid Heat Exchange in Porous Media for Transpiration Cooling Systems

An accurate approach for thermal analysis of porous longitudinal, spine and radial fins with all nonlinearity effects – analytical and unified assessment

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