scholarly journals A Thermoelastic Piezoelectric Fixed Rod Exposed to an Axial Moving Heat Source via a Dual-Phase-Lag Model

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Mahmoud Ragab ◽  
S. M. Abo-Dahab ◽  
Ahmed E. Abouelregal ◽  
A. A. Kilany
Keyword(s):  
Heat Source ◽  
Piezoelectric Ceramics ◽  
Smart Structure ◽  
Temperature Fields ◽  
Phase Lag ◽  
Sensors And Actuators ◽  
Transform Method ◽  
The Laplace Transform ◽  
Lag Model ◽  
Physical Fields

Piezoelectric ceramics are used more in the active control of noise and vibration with sensors and actuators. As a result, a one-dimensional homogeneous thermoelastic fixed piezoelectric rod subjected to a moving heat flow has been considered. The heating rod is affected by three fields, namely, thermal, mechanical, and electric potential. In order to design a reliable smart structure, this study is necessary and the thermopiezoelectric behavior of piezoelectric ceramics must be understood clearly. The Laplace transform method is applied to acquire the distributions of stress, deformation, and temperature fields. The effect of heat source velocity and phase lag parameters on the considered physical fields is displayed graphically, and the results are compared with other models of thermoelasticity. The present findings could find possible applications for designing receiving portions of transformers of Rosen type for voltage magnification.

scholarly journals Phase-Lag Effects in Skin Tissue During Transient Heating

2019 ◽  
Vol 24 (3) ◽  
pp. 603-623 ◽  
Author(s):  
R. Kumar ◽  
A.K. Vashishth ◽  
S. Ghangas
Keyword(s):  
Heat Flux ◽  
Skin Tissue ◽  
Tissue Temperature ◽  
Finite Domain ◽  
Phase Lag ◽  
Transient Heating ◽  
Transform Method ◽  
Lag Effects ◽  
Three Phase ◽  
The Laplace Transform

Abstract A three-phase-lag (TPL) model is proposed to describe heat transfer in a finite domain skin tissue with temperature dependent metabolic heat generation. The Laplace transform method is applied to solve the problem. Three special types of heat flux are applied to the boundary of skin tissue for thermal therapeutic applications. The depth of tissue is influenced by the different oscillation heat flux. The comparison between the TPL and dual-phase-lag (DPL) models is analyzed and the effects of phase lag parameters (τq, τt and τv) and material (k*) on the tissue temperature distribution are presented graphically.

scholarly journals Induced magnetic field and viscous dissipation on flows of two immiscible fluids in a rectangular channel

2022 ◽  
Vol 12 (1) ◽  
Author(s):  
Nehad Ali Shah ◽  
Hussam Alrabaiah ◽  
Dumitru Vieru ◽  
Se-Jin Yook
Keyword(s):  
Magnetic Field ◽  
Viscous Dissipation ◽  
Fluid Velocity ◽  
Rectangular Channel ◽  
Immiscible Fluids ◽  
Temperature Fields ◽  
Induced Magnetic Field ◽  
Transform Method ◽  
Approximate Analytical Solutions ◽  
The Laplace Transform

AbstractThe unsteady, magneto-hydrodynamic generalized Couette flows of two immiscible fluids in a rectangular channel with isothermal walls under the influence of an inclined magnetic field and an axial electric field have been investigated. Both fluids are considered electrically conducting and the solid boundaries are electrically insulated. Approximate analytical solutions for the velocity, induced magnetic, and temperature fields have been determined using the Laplace transform method along with the numerical Stehfest's algorithm for the inversion of the Laplace transforms. Also, for the nonlinear differential equation of energy, a numerical scheme based on the finite differences has been developed. A particular case has been numerically and graphically studied to show the evolution of the fluid velocity, induced magnetic field, and viscous dissipation in both flow regions.

scholarly journals The elastic wave motions for a photothermal medium of a dual-phase-lag model with an internal heat source and gravitational field

2016 ◽  
Vol 94 (4) ◽  
pp. 400-409 ◽  
Author(s):  
Kh. Lotfy
Keyword(s):  
Heat Source ◽  
Thermal Loading ◽  
Harmonic Wave ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Transfer Model ◽  
Phase Lag ◽  
Dual Phase ◽  
Horizontal Distance ◽  
Lag Model

In this work, the dual-phase-lag (DPL) heat transfer model is introduced to study the problem of an isotropic generalized thermoelastic medium with an internal heat source that is moving with a constant speed. Thermal loading at the free surface of a semi-infinite semiconconducting medium coupled plasma waves with the effect of mechanical force during a photothermal process to study the effect of a gravity field. Harmonic wave analysis is used to obtain exact expressions for the considered variables, also the carrier density coefficients were obtained analytically. The variations of the considered variables through the horizontal distance are illustrated graphically under the effects of several parameters based on the DPL model. The results are discussed and depicted graphically.

Influence of the rotation on a generalized magneto-thermoelastic medium for three-phase-lag model

2015 ◽  
Vol 11 (2) ◽  
pp. 297-318 ◽  
Author(s):  
Samia M Said
Keyword(s):  
Magnetic Field ◽  
Heat Source ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Thermoelastic Problem ◽  
Phase Lag ◽  
Content Type ◽  
Three Phase ◽  
Lag Model ◽  
Generalized Thermoelastic

Purpose – The purpose of this paper is to investigate the effect of rotation and a magnetic field on the wave propagation in a generalized thermoelastic problem for a medium with an internal heat source that is moving with a constant speed. Design/methodology/approach – The formulation is applied to a generalized thermoelastic problem based on the three-phase-lag model and Green-Naghdi theory without energy dissipation. The medium is a homogeneous isotropic thermoelastic in the half-space. Findings – The exact expressions of the displacement components, temperature, and stress components are obtained by using normal mode analysis. Originality/value – Comparisons are made with the results predicted by the two models in the absence and presence of a magnetic field as well as a rotation. A comparison also is made with the results predicted by the two models for two different values of an internal heat source.

scholarly journals Establishing a memory-dependent photothermoelastic model according to the dual phase lag model on a cylindrical body rotating in an initial magnetic field

2021 ◽  
Author(s):  
Kadry Zakaria ◽  
Magdy Sirwah ◽  
Ahmed Abouelregal ◽  
Ali Farouk Rashid
Keyword(s):  
Magnetic Field ◽  
Wave Equations ◽  
Cylindrical Body ◽  
Numerical Results ◽  
Phase Lag ◽  
Dual Phase ◽  
Elastic Wave Equations ◽  
The Laplace Transform ◽  
Lag Model ◽  
The Impact

This paper deals with the study of photothermoelastic interactions in an isotropic homogeneous semiconductor solid, using a new model of generalized thermoelectricity with a memory-dependent derivative of heat conduction. The plasma and thermal effects study of semiconductor structures include the simulation of a complex system using simultaneous analysis of carrier density, thermal waves, and elastic wave equations. On this topic, there are few research works that have been achieved. To investigate the problem, Tzou’s generalized theory is employed. The governing equations of the system are derived based on the dual-phase lag model (DPL) and the wave equation of coupled plasma. We examined the transient response of a rotating solid cylinder subjected to the applied magnetic field and a time-dependent heat flow under the new proposed model. The analytical expressions for the investigated fields are derived by using the Laplace transform process and the numerical results are graphically previewed. A comparison of the numerical results is provided for various models of thermoelasticity as well as the impact of memory- dependent derivatives. The effects of rotation, time-delay and the kernel function are also investigated

A fiber-reinforced thermoelastic medium with an internal heat source due to hydrostatic initial stress and gravity for the three-phase-lag model

2017 ◽  
Vol 13 (1) ◽  
pp. 83-99 ◽  
Author(s):  
Samia M. Said
Keyword(s):  
Heat Source ◽  
Initial Stress ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Phase Lag ◽  
Thermoelastic Medium ◽  
Content Type ◽  
Three Phase ◽  
Lag Model ◽  
Hydrostatic Initial Stress

Purpose The purpose of this paper is to investigate the effect of a hydrostatic initial stress and the gravity field on a fiber-reinforced thermoelastic medium with an internal heat source that is moving with a constant speed. Design/methodology/approach A general model of the equations of the formulation in the context of the three-phase-lag model and Green-Naghdi theory without energy dissipation. Findings The exact expressions for the displacement components, force stresses, and the thermal temperature for the thermal shock problem obtained by using normal mode analysis. Originality/value A comparison made between the results of the two models for different values of a hydrostatic initial stress as well as an internal heat source. Comparisons also made with the results of the two models in the absence and presence of the gravity field as well as the reinforcement.

Green’s Function Solution of Dual-Phase-Lag Model

2009 ◽  
Author(s):  
Yung-Ming Lee ◽  
Pei-Chi Lin ◽  
Tsung-Wen Tsai
Keyword(s):  
Heat Conduction ◽  
Heat Source ◽  
Green’S Function ◽  
Green's Function ◽  
Phase Lag ◽  
Micro Scale ◽  
Function Solution ◽  
Lag Model ◽  
Temperature Solution ◽  
Good Agreement

In this study, the micro-scale heat conduction solution in a finite rigid slab computed with and without heat source is investigated. The analytical solution is derived by Laplace transform (LT) technique and Green’s function solution (GFS) method. The effect of heat source on the micro-scale heat conduction solution is also included in this paper. It is found that the temperature solution obtained by GFS method is smaller than that obtained by LT technique, and the GFS is in very good agreement with the solution obtained by the conventional Fourier’s law when τq = τT. Moreover, the temperature distributions computed by the LT technique are always overestimated in this study owing to the absence of the G2 effect. Hence, it is believed that the temperature solutions predicted by the GFS-LT method are more accurate than those evaluated by the LT technique. When time is increasing, the discrepancies of temperature solutions among various methods for τT > τq is increasing.

Dual-phase-lag model for a nonlocal micropolar thermoelastic half-space subjected to gravitational field and inclined load

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Sunil Kumar ◽  
Aarti Kadian ◽  
Kapil Kumar Kalkal
Keyword(s):  
Gravitational Field ◽  
Mechanical Load ◽  
Nonlocal Parameter ◽  
Phase Lag ◽  
Dual Phase ◽  
Content Type ◽  
Lag Model ◽  
Physical Fields ◽  
Thermoelastic Problems ◽  
The Impact

Purpose The purpose of this study is to analyze the disturbances in a two-dimensional nonlocal, micropolar elastic medium under the dual-phase-lag model of thermoelasticity whose surface is subjected to an inclined mechanical load. The present study is carried out under the influence of gravity. Design/methodology/approach The normal mode technique is used to obtain the exact expressions of the physical fields. Findings For inclined mechanical load, the impact of micropolarity, nonlocal parameter, gravity and inclination angle have been highlighted on the considered physical fields. Originality/value The numerical results are computed for various physical quantities such as displacement, stresses and temperature for a magnesium crystal-like material and are illustrated graphically. The study is valuable for the analysis of thermoelastic problems involving gravitational field, nonlocal parameter, micropolarity and elastic deformations.

Sign in / Sign up

Export Citation Format

Share Document