Impact of memory and long-range interaction in a two-dimensional semi-infinite solid cylinder

Navneet Kumar Lamba

doi:10.14744/thermal.0000916

Impact of memory and long-range interaction in a two-dimensional semi-infinite solid cylinder

Abstract

Space fractional differential operators are used to study long-range interactions, and time differential operators handle memory effects. A semi-infinite circular cylinder is taken into consideration to analyse both effects in a two-dimensional thermoelastic situation where heat conduction is influenced by internal heat generation. A prescribed jump function is applied to the bottom of the semi-infinite circular cylinder, and the time-dependent heat flux happens at the curved edge of the cylinder. The transformative approach of Laplace, Fourier, and Hankel was used to solve the governing equation of heat transfer with Caputo and the finite fractional derivatives of Riesz. The outcomes are expressed in terms of the Bessel function series. The numerical calculations are performed with the material properties of pure copper, and the graphical representations of the thermal distributions are successfully plotted.

Keywords

References

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Details

Primary Language

English

Subjects

Fluid Mechanics and Thermal Engineering (Other)

Journal Section

Research Article

Authors

Navneet Kumar Lamba ^*
0000-0002-6283-1681
India

Publication Date

January 31, 2025

Submission Date

December 9, 2023

Acceptance Date

February 26, 2024

Published in Issue

Year 2025 Volume: 11 Number: 1

DOI

https://doi.org/10.14744/thermal.0000916

IZ

https://izlik.org/JA32BK63ZH

Cite

RIS / Bibtex

APA

Lamba, N. K. (2025). Impact of memory and long-range interaction in a two-dimensional semi-infinite solid cylinder. Journal of Thermal Engineering, 11(1), 240-253. https://doi.org/10.14744/thermal.0000916

AMA

1.Lamba NK. Impact of memory and long-range interaction in a two-dimensional semi-infinite solid cylinder. Journal of Thermal Engineering. 2025;11(1):240-253. doi:10.14744/thermal.0000916

Chicago

Lamba, Navneet Kumar. 2025. “Impact of Memory and Long-Range Interaction in a Two-Dimensional Semi-Infinite Solid Cylinder”. Journal of Thermal Engineering 11 (1): 240-53. https://doi.org/10.14744/thermal.0000916.

EndNote

Lamba NK (January 1, 2025) Impact of memory and long-range interaction in a two-dimensional semi-infinite solid cylinder. Journal of Thermal Engineering 11 1 240–253.

IEEE

[1]N. K. Lamba, “Impact of memory and long-range interaction in a two-dimensional semi-infinite solid cylinder”, Journal of Thermal Engineering, vol. 11, no. 1, pp. 240–253, Jan. 2025, doi: 10.14744/thermal.0000916.

ISNAD

Lamba, Navneet Kumar. “Impact of Memory and Long-Range Interaction in a Two-Dimensional Semi-Infinite Solid Cylinder”. Journal of Thermal Engineering 11/1 (January 1, 2025): 240-253. https://doi.org/10.14744/thermal.0000916.

JAMA

1.Lamba NK. Impact of memory and long-range interaction in a two-dimensional semi-infinite solid cylinder. Journal of Thermal Engineering. 2025;11:240–253.

MLA

Lamba, Navneet Kumar. “Impact of Memory and Long-Range Interaction in a Two-Dimensional Semi-Infinite Solid Cylinder”. Journal of Thermal Engineering, vol. 11, no. 1, Jan. 2025, pp. 240-53, doi:10.14744/thermal.0000916.

Vancouver

1.Navneet Kumar Lamba. Impact of memory and long-range interaction in a two-dimensional semi-infinite solid cylinder. Journal of Thermal Engineering. 2025 Jan. 1;11(1):240-53. doi:10.14744/thermal.0000916