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Generalized piezothermoelastic interactions in a piezoelectric rod subjected to pulse heat flux

  • Zuhur Alqahtani , Ibrahim Abbas EMAIL logo and Alaa A. El-Bary
Published/Copyright: November 20, 2024
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Journal of Non-Equilibrium Thermodynamics
From the journal Journal of Non-Equilibrium Thermodynamics Volume 50 Issue 1

Abstract

This work investigates, using the Laplace transforms, the influence of thermal relaxation time in the piezo-thermoelastic rod under pulse heat flux. For the piezoelectric medium, the generalized piezothermoelastic fundamental equations are developed. The analytical solutions are expressed in the transformation domain using Laplace transforms. Laplace transforms are presented to solve the problem’s governing equations, removing the time impact and yielding analytical solutions for the temperature, electric field, displacement, and stresses in the Laplace domain. The time domain solutions of the variables under consideration are then found using numerical Laplace inversion and visually shown. The effects of the thermal time, pulse heating flux characteristic time, and constant heat flux are studied in a piezoelectric thermoelastic medium. The figures show that the thermal time, pulse heating flux characteristic time, and constant heat flux play significant roles in determining the values of all physical quantities.

Keywords: thermal relaxation time; piezoelectric rod; Laplace transform; pulse heat flux
Corresponding author: Ibrahim Abbas, Mathematics Department, Faculty of Science, Sohag University, Sohag, Egypt, E-mail: 

Acknowledgments

Princess Nourah bint Abdulrahman University Researchers Supporting Project number (PNURSP2024R518), Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia.

  1. Research ethics: Not applicable.

  2. Informed consent: Not applicable.

  3. Author contributions: The authors have accepted responsibility for the entire content of this manuscript and approved its submission.

  4. Use of Large Language Models, AI and Machine Learning Tools: None declared.

  5. Conflict of interest: The authors state no conflict of interest.

  6. Research funding: None declared.

  7. Data availability: The raw data can be obtained on request from the corresponding author.

Nomenclature

u i

Displacement vector components

ɛ kl

Strain tensor components

E i

Electric field vector the components

D i

Components of electric displacement

C ijkl

Elastic constants,

ρ

Mass density

k ii

Coefficients of thermal conductivity

t p

The characteristic time of pulses heat flux

e ijk

The piezoelectric constants

σ ij

The stress components

T o

The initial temperature of medium

φ

The electric potential function

β ij

The thermal modulus

δ ij

Kronecker symbol

t

The time

c e

Specific heat

T

Medium temperature

q

Heat flux

q o

Constant heat flux

τ ik

The dielectric constants

τ o

The thermal relaxation time

P i

The pyroelectric constant

l

The length

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Received: 2024-08-22
Accepted: 2024-10-23
Published Online: 2024-11-20
Published in Print: 2025-01-29

© 2024 Walter de Gruyter GmbH, Berlin/Boston

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https://doi.org/10.1515/jnet-2024-0077
Keywords for this article
thermal relaxation time; piezoelectric rod; Laplace transform; pulse heat flux

Articles in the same Issue

  1. Frontmatter
  2. Original Research Articles
  3. Performance analysis of quantum harmonic Otto engine and refrigerator under a trade-off figure of merit
  4. Investigation of the operating characteristics of diesel engines with chromium oxide (Cr2O3) nanoparticles dispersed in Mesua ferrea biodiesel: an experimental and predictive approach using ANNs and RSM
  5. Thermodynamics and dynamic stability: extended theories of heat conduction
  6. Novel irreversibility modeling of non-homogeneous charged gas flow by solving Maxwell–Boltzmann PDEs system: irreversibility analysis for multi-component plasma
  7. Efficient ecological function analysis and multi-objective optimizations for an endoreversible simple air refrigerator cycle
  8. Stochastic dissipative Euler’s equations for a free body
  9. Performance prediction and manipulation strategy of a hybrid system based on tubular solid oxide fuel cell and annular thermoelectric generator
  10. Generalized piezothermoelastic interactions in a piezoelectric rod subjected to pulse heat flux
  11. Variational approach to chemical reactions beyond local equilibrium
  12. Erratum
  13. Corrigendum to: Entropy optimization in nonlinear mixed convective flow of nanomaterials through porous space
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