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Updated: Aug 16, 2025
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Uncoupling Coriolis Force and Rotating Buoyancy Effects on Full-Field Heat Transfer Properties of a Rotating Channel
Published on: October 5, 2018
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A Modified Two-Relaxation Thermoelastic Model for a Thermal Shock of Rotating Infinite Medium.
Maryam H Aljadani1, Ashraf M Zenkour2,3
1Department of Mathematics, Jamoum University College, Umm Al-Qura University, Makkah 21421, Saudi Arabia.
Materials (Basel, Switzerland)
|December 23, 2022
Summary
This study unifies generalized thermoelasticity theories, including Lord-Shulman and Green-Lindsay, to analyze field quantities in a decaying thermal shock scenario for a rotating half-space.
Area of Science:
- Solid Mechanics
- Continuum Mechanics
- Thermodynamics
Background:
- Generalized thermoelasticity theories (Lord-Shulman, Green-Lindsay, classical) describe heat conduction and mechanical deformation.
- Existing models often assume constant thermal shock magnitudes.
- A unified framework is needed to encompass various thermoelastic theories.
Purpose of the Study:
- To present a unified thermoelasticity theory.
- To analyze field quantities (temperature, displacement, stress) in a rotating/non-rotating half-space under time-dependent thermal shock.
- To investigate the influence of a decay parameter on these quantities.
Main Methods:
- Development of a unified thermoelasticity theory.
- Analytical derivation of field quantities for a half-space subjected to time-dependent thermal shock.
- Inclusion of a decay parameter for the thermal shock magnitude.
- Consideration of rotating and non-rotating conditions.
Main Results:
- The unified theory successfully incorporates Lord-Shulman, Green-Lindsay, and classical thermoelasticity.
- Analytical solutions for temperature, displacements, and stresses were obtained.
- The effect of the decay parameter on field quantities was investigated.
- Illustrative plots in 2D and 3D were generated for refined theories.
Conclusions:
- The unified thermoelasticity theory provides a comprehensive framework for analyzing generalized thermoelastic problems.
- Time-dependent thermal shock with a decay parameter significantly influences field quantities.
- The study offers valuable insights into the behavior of materials under complex thermal loading conditions.
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