Estimation of Transient Temperature Distribution during Quenching, via a Parabolic Model

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LOZANO, Diego E.;MARTINEZ-CAZARES, Gabriela ;MERCADO-SOLIS, Rafael David;COLÁS, Rafael ;TOTTEN, George E..
Estimation of Transient Temperature Distribution during Quenching, via a Parabolic Model. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 61, n.2, p. 107-114, june 2018. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/sl/article/estimation-of-transient-temperature-distribution-during-quenching-via-a-parabolic-model/>. Date accessed: 15 dec. 2019. 
doi:http://dx.doi.org/10.5545/sv-jme.2014.1997.
Lozano, D., Martinez-Cazares, G., Mercado-Solis, R., Colás, R., & Totten, G.
(2015).
Estimation of Transient Temperature Distribution during Quenching, via a Parabolic Model.
Strojniški vestnik - Journal of Mechanical Engineering, 61(2), 107-114.
doi:http://dx.doi.org/10.5545/sv-jme.2014.1997
@article{sv-jmesv-jme.2014.1997,
	author = {Diego E. Lozano and Gabriela  Martinez-Cazares and Rafael David Mercado-Solis and Rafael  Colás and George E. Totten},
	title = {Estimation of Transient Temperature Distribution during Quenching, via a Parabolic Model},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {61},
	number = {2},
	year = {2015},
	keywords = {temperature distribution; quenching; parabola; heat transfer coefficient; cooling rate; cooling curve analysis},
	abstract = {A material-independent model to estimate the transient temperature distribution in a test probe quenched by immersion is presented in this study. This model is based on the assumption that, under one-dimensional unsteady heat conduction, the radial temperature distribution at the end of an interval belongs to the equation of a parabola. The model was validated using AISI 304 stainless steel test probes (Φ8×40 mm and Φ12×60 mm) quenched from 850 to 900 °C in water and in water-based NaNO2 solutions at 25 °C and in canola oil at 50 °C. Additionally, square test probes (20×20×100 mm) were quenched from 550 °C in water. The test probes were equipped with embedded thermocouples for temperature-versus-time data logging at the core, one-quarter thickness and 1 mm below the surface. In each experiment, the data recordings from the core and near-surface thermocouples were employed for the temperature calculations while the data from the one-quarter thickness thermocouple were employed for model validity verifications. In all cases, the calculated temperature distributions showed good correlations with the experimentally obtained values. Based on the results of this work, it is concluded that this approach constitutes a simple, quick and efficient tool for estimating transient surface and radial temperature distributions and represents a useful resource for quenchant cooling rate calculations and heat transfer characterizations.},
	issn = {0039-2480},	pages = {107-114},	doi = {10.5545/sv-jme.2014.1997},
	url = {https://www.sv-jme.eu/sl/article/estimation-of-transient-temperature-distribution-during-quenching-via-a-parabolic-model/}
}
Lozano, D.,Martinez-Cazares, G.,Mercado-Solis, R.,Colás, R.,Totten, G.
2015 June 61. Estimation of Transient Temperature Distribution during Quenching, via a Parabolic Model. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 61:2
%A Lozano, Diego E.
%A Martinez-Cazares, Gabriela 
%A Mercado-Solis, Rafael David
%A Colás, Rafael 
%A Totten, George E.
%D 2015
%T Estimation of Transient Temperature Distribution during Quenching, via a Parabolic Model
%B 2015
%9 temperature distribution; quenching; parabola; heat transfer coefficient; cooling rate; cooling curve analysis
%! Estimation of Transient Temperature Distribution during Quenching, via a Parabolic Model
%K temperature distribution; quenching; parabola; heat transfer coefficient; cooling rate; cooling curve analysis
%X A material-independent model to estimate the transient temperature distribution in a test probe quenched by immersion is presented in this study. This model is based on the assumption that, under one-dimensional unsteady heat conduction, the radial temperature distribution at the end of an interval belongs to the equation of a parabola. The model was validated using AISI 304 stainless steel test probes (Φ8×40 mm and Φ12×60 mm) quenched from 850 to 900 °C in water and in water-based NaNO2 solutions at 25 °C and in canola oil at 50 °C. Additionally, square test probes (20×20×100 mm) were quenched from 550 °C in water. The test probes were equipped with embedded thermocouples for temperature-versus-time data logging at the core, one-quarter thickness and 1 mm below the surface. In each experiment, the data recordings from the core and near-surface thermocouples were employed for the temperature calculations while the data from the one-quarter thickness thermocouple were employed for model validity verifications. In all cases, the calculated temperature distributions showed good correlations with the experimentally obtained values. Based on the results of this work, it is concluded that this approach constitutes a simple, quick and efficient tool for estimating transient surface and radial temperature distributions and represents a useful resource for quenchant cooling rate calculations and heat transfer characterizations.
%U https://www.sv-jme.eu/sl/article/estimation-of-transient-temperature-distribution-during-quenching-via-a-parabolic-model/
%0 Journal Article
%R 10.5545/sv-jme.2014.1997
%& 107
%P 8
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 61
%N 2
%@ 0039-2480
%8 2018-06-27
%7 2018-06-27
Lozano, Diego, Gabriela  Martinez-Cazares, Rafael David Mercado-Solis, Rafael  Colás, & George E. Totten.
"Estimation of Transient Temperature Distribution during Quenching, via a Parabolic Model." Strojniški vestnik - Journal of Mechanical Engineering [Online], 61.2 (2015): 107-114. Web.  15 Dec. 2019
TY  - JOUR
AU  - Lozano, Diego E.
AU  - Martinez-Cazares, Gabriela 
AU  - Mercado-Solis, Rafael David
AU  - Colás, Rafael 
AU  - Totten, George E.
PY  - 2015
TI  - Estimation of Transient Temperature Distribution during Quenching, via a Parabolic Model
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2014.1997
KW  - temperature distribution; quenching; parabola; heat transfer coefficient; cooling rate; cooling curve analysis
N2  - A material-independent model to estimate the transient temperature distribution in a test probe quenched by immersion is presented in this study. This model is based on the assumption that, under one-dimensional unsteady heat conduction, the radial temperature distribution at the end of an interval belongs to the equation of a parabola. The model was validated using AISI 304 stainless steel test probes (Φ8×40 mm and Φ12×60 mm) quenched from 850 to 900 °C in water and in water-based NaNO2 solutions at 25 °C and in canola oil at 50 °C. Additionally, square test probes (20×20×100 mm) were quenched from 550 °C in water. The test probes were equipped with embedded thermocouples for temperature-versus-time data logging at the core, one-quarter thickness and 1 mm below the surface. In each experiment, the data recordings from the core and near-surface thermocouples were employed for the temperature calculations while the data from the one-quarter thickness thermocouple were employed for model validity verifications. In all cases, the calculated temperature distributions showed good correlations with the experimentally obtained values. Based on the results of this work, it is concluded that this approach constitutes a simple, quick and efficient tool for estimating transient surface and radial temperature distributions and represents a useful resource for quenchant cooling rate calculations and heat transfer characterizations.
UR  - https://www.sv-jme.eu/sl/article/estimation-of-transient-temperature-distribution-during-quenching-via-a-parabolic-model/
@article{{sv-jme}{sv-jme.2014.1997},
	author = {Lozano, D., Martinez-Cazares, G., Mercado-Solis, R., Colás, R., Totten, G.},
	title = {Estimation of Transient Temperature Distribution during Quenching, via a Parabolic Model},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {61},
	number = {2},
	year = {2015},
	doi = {10.5545/sv-jme.2014.1997},
	url = {https://www.sv-jme.eu/sl/article/estimation-of-transient-temperature-distribution-during-quenching-via-a-parabolic-model/}
}
TY  - JOUR
AU  - Lozano, Diego E.
AU  - Martinez-Cazares, Gabriela 
AU  - Mercado-Solis, Rafael David
AU  - Colás, Rafael 
AU  - Totten, George E.
PY  - 2018/06/27
TI  - Estimation of Transient Temperature Distribution during Quenching, via a Parabolic Model
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 61, No 2 (2015): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2014.1997
KW  - temperature distribution, quenching, parabola, heat transfer coefficient, cooling rate, cooling curve analysis
N2  - A material-independent model to estimate the transient temperature distribution in a test probe quenched by immersion is presented in this study. This model is based on the assumption that, under one-dimensional unsteady heat conduction, the radial temperature distribution at the end of an interval belongs to the equation of a parabola. The model was validated using AISI 304 stainless steel test probes (Φ8×40 mm and Φ12×60 mm) quenched from 850 to 900 °C in water and in water-based NaNO2 solutions at 25 °C and in canola oil at 50 °C. Additionally, square test probes (20×20×100 mm) were quenched from 550 °C in water. The test probes were equipped with embedded thermocouples for temperature-versus-time data logging at the core, one-quarter thickness and 1 mm below the surface. In each experiment, the data recordings from the core and near-surface thermocouples were employed for the temperature calculations while the data from the one-quarter thickness thermocouple were employed for model validity verifications. In all cases, the calculated temperature distributions showed good correlations with the experimentally obtained values. Based on the results of this work, it is concluded that this approach constitutes a simple, quick and efficient tool for estimating transient surface and radial temperature distributions and represents a useful resource for quenchant cooling rate calculations and heat transfer characterizations.
UR  - https://www.sv-jme.eu/sl/article/estimation-of-transient-temperature-distribution-during-quenching-via-a-parabolic-model/
Lozano, Diego, Martinez-Cazares, Gabriela, Mercado-Solis, Rafael, Colás, Rafael, AND Totten, George.
"Estimation of Transient Temperature Distribution during Quenching, via a Parabolic Model" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 61 Number 2 (27 June 2018)

Avtorji

Inštitucije

  • FRISA Forjados S.A. de C.V., Santa Catarina, México 1
  • Universidad Autónoma de Nuevo León, México 2
  • Portland State University, Oregon, USA 3

Informacije o papirju

Strojniški vestnik - Journal of Mechanical Engineering 61(2015)2, 107-114

https://doi.org/10.5545/sv-jme.2014.1997

A material-independent model to estimate the transient temperature distribution in a test probe quenched by immersion is presented in this study. This model is based on the assumption that, under one-dimensional unsteady heat conduction, the radial temperature distribution at the end of an interval belongs to the equation of a parabola. The model was validated using AISI 304 stainless steel test probes (Φ8×40 mm and Φ12×60 mm) quenched from 850 to 900 °C in water and in water-based NaNO2 solutions at 25 °C and in canola oil at 50 °C. Additionally, square test probes (20×20×100 mm) were quenched from 550 °C in water. The test probes were equipped with embedded thermocouples for temperature-versus-time data logging at the core, one-quarter thickness and 1 mm below the surface. In each experiment, the data recordings from the core and near-surface thermocouples were employed for the temperature calculations while the data from the one-quarter thickness thermocouple were employed for model validity verifications. In all cases, the calculated temperature distributions showed good correlations with the experimentally obtained values. Based on the results of this work, it is concluded that this approach constitutes a simple, quick and efficient tool for estimating transient surface and radial temperature distributions and represents a useful resource for quenchant cooling rate calculations and heat transfer characterizations.

temperature distribution; quenching; parabola; heat transfer coefficient; cooling rate; cooling curve analysis