Transient heat conduction in tubes: dimensionless temperature profile under convective boundary conditions

Yanan Camaraza-Medina

doi:10.64808/engineeringperspective.1849978

Transient heat conduction in tubes: dimensionless temperature profile under convective boundary conditions

Abstract

In this work three analytical solutions were developed for calculating transient conduction energy transfer in tubes, considering convection boundary conditions. For each configuration, 412 temperature distributions were calculated using both the approximate Heisler method (AHM) and the exact analytical models, employing different combinations of the , Bi, and Fo parameters. The models were calibrated for a range of inner-to-outer radius ratios between 0.2 and 0.8, and for Fourier (Fo) and Biot (Bi) numbers ranging from 0.05 to 50 and 0.005 to 50, respectively.. Comparative evaluation, based on 1972 computational simulations, revealed that the AHM method agrees with the analytical solutions in a interval range of ±10% and ±20% of deviation in the 71.3% and 91.2% of the combinations computed, respectively. Among the cases evaluated, Case 2 showed the best degree of agreement, with mean deviations of ±10% and ±20% in 87.4% and 97.5% of the data, respectively. Conversely, Case 3 presented the weaker fit, reaching those same deviation ranges for 68.3% and 91.2% of the data used. At the individual parameter level, the provided the optimal fit in Case 1, with 89.4% and 98.1% of the data within the margins of ±10% and ±20%, respectively. While, the weaker fit was found for in Case 1, with 41.3% and 75.8%, of the data within the margins of ±10% and ±20%, respectively.

Keywords

References

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Details

Primary Language

English

Subjects

Experimental Methods in Fluid Flow, Heat and Mass Transfer

Journal Section

Research Article

Authors

Yanan Camaraza-Medina ^*
0000-0003-2287-7519
Mexico

Publication Date

March 21, 2026

Submission Date

December 26, 2025

Acceptance Date

March 15, 2026

Published in Issue

Year 2026 Volume: 6 Number: 2

DOI

https://doi.org/10.64808/engineeringperspective.1849978

IZ

https://izlik.org/JA98UD26JT

Cite

RIS / Bibtex

APA

Camaraza-Medina, Y. (2026). Transient heat conduction in tubes: dimensionless temperature profile under convective boundary conditions. Engineering Perspective, 6(2), 233-240. https://doi.org/10.64808/engineeringperspective.1849978

AMA

1.Camaraza-Medina Y. Transient heat conduction in tubes: dimensionless temperature profile under convective boundary conditions. engineeringperspective. 2026;6(2):233-240. doi:10.64808/engineeringperspective.1849978

Chicago

Camaraza-Medina, Yanan. 2026. “Transient Heat Conduction in Tubes: Dimensionless Temperature Profile under Convective Boundary Conditions”. Engineering Perspective 6 (2): 233-40. https://doi.org/10.64808/engineeringperspective.1849978.

EndNote

Camaraza-Medina Y (March 1, 2026) Transient heat conduction in tubes: dimensionless temperature profile under convective boundary conditions. Engineering Perspective 6 2 233–240.

IEEE

[1]Y. Camaraza-Medina, “Transient heat conduction in tubes: dimensionless temperature profile under convective boundary conditions”, engineeringperspective, vol. 6, no. 2, pp. 233–240, Mar. 2026, doi: 10.64808/engineeringperspective.1849978.

ISNAD

Camaraza-Medina, Yanan. “Transient Heat Conduction in Tubes: Dimensionless Temperature Profile under Convective Boundary Conditions”. Engineering Perspective 6/2 (March 1, 2026): 233-240. https://doi.org/10.64808/engineeringperspective.1849978.

JAMA

1.Camaraza-Medina Y. Transient heat conduction in tubes: dimensionless temperature profile under convective boundary conditions. engineeringperspective. 2026;6:233–240.

MLA

Camaraza-Medina, Yanan. “Transient Heat Conduction in Tubes: Dimensionless Temperature Profile under Convective Boundary Conditions”. Engineering Perspective, vol. 6, no. 2, Mar. 2026, pp. 233-40, doi:10.64808/engineeringperspective.1849978.

Vancouver

1.Yanan Camaraza-Medina. Transient heat conduction in tubes: dimensionless temperature profile under convective boundary conditions. engineeringperspective. 2026 Mar. 1;6(2):233-40. doi:10.64808/engineeringperspective.1849978