Fractional order model of micropolar thermoelasticity and 2D half-space problem

Sherief, Hany H.; Hussein, Eman M.

doi:10.1007/s00707-022-03399-w

Cited by 8 publications

(5 citation statements)

References 35 publications

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“…Polystyrene, one of the polymers, was selected to conduct numerical assessments. The problem's constants were considered as indicated [16,24].…”

Section: Numerical Resultsmentioning

confidence: 99%

“…Substituting equations (36, 37, 48, 50, and 51) into equations (16)(17)(18)(19)(20)(21)(22)(23)(24), after take Laplace and Fourier transform, we find…”

Section:   =−   mentioning

confidence: 99%

“…Caputo and Mainardi [18][19][20] have built good models by using fractional derivatives. Some models modified by fractional derivatives [21][22][23][24]. Abd El-Latief and Khader [25] have applied the fractional model of thermoelasticity to a half space overlaid by a thick layer.…”

Section: Introductionmentioning

confidence: 99%

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Application of the fractional-order theory of micro-polar thermoelasticity in the solid cylinder

Khader,

Marrouf,

Khedr

2024

Preprint

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This work examines the heat transfer efficiency of CuZnFe2O4-water and NiZnFe4O4-water magnetic nanofluids when subjected to forced convection with an external magnetic field. The experiments were carried out utilizing nanofluids that were generated with volume concentrations of 0.5% and 1.0% in a mini-channel. The studies were conducted with consistent heat flux boundary conditions within the Reynolds number range of 300–1300. A magnetic field within the 22–38 mT range has been produced by using two electromagnets positioned at a right angle to the direction of flow. The collected data has shown substantial improvements in the Nusselt number when using nanofluids. Applying an external magnetic field to nanofluids led to substantial improvements in heat transfer. The influence of the magnetic field on the transport of heat was particularly noticeable in situations characterized by low Reynolds numbers and nanofluids containing a high concentration of nanoparticles. Furthermore, it was noted that the magnitude of the magnetic field also has a substantial favorable impact. The highest rates of increase in the Nusselt number were attained for both nanofluids when the volume concentration was 1.0%, the Reynolds number was 300, and the magnetic field intensity was set at 38 mT. In addition, the CuZnFe2O4-water nanofluid exhibited a greater susceptibility to the magnetic field in comparison to the NiZnFe4O4-water nanofluid. Relative to the scenario without a magnetic field, the NiZnFe4O4-water nanofluid exhibited a maximum Nusselt number increase rate of 24.62%, while the CuZnFe2O4-water nanofluid demonstrated a higher increase rate of 39.34%.

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“…Polystyrene, one of the polymers, was selected to conduct numerical assessments. The problem's constants were considered as indicated [16,24].…”

Section: Numerical Resultsmentioning

confidence: 99%

“…Substituting equations (36, 37, 48, 50, and 51) into equations (16)(17)(18)(19)(20)(21)(22)(23)(24), after take Laplace and Fourier transform, we find…”

Section:   =−   mentioning

confidence: 99%

See 1 more Smart Citation

Application of the fractional-order theory of micro-polar thermoelasticity in the solid cylinder

Khader,

Marrouf,

Khedr

2024

Preprint

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“…For the purpose of numerical calculations, we shall use a polystyrene material (one of the polymers). The physical parameters values are listed in Table 1 [ 41 ].…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Dynamic response of a long cylinder under thermal shock in micropolar thermoelasticity

Sherief,

Abbas,

Zaky

et al. 2023

PLoS ONE

Self Cite

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In this manuscript, the dynamic response of a long cylinder subjected to an asymmetric thermal shock is investigated within the framework of generalized micropolar thermoelasticity. The displacement and micro-rotation are assumed to vanish at the surface. Laplace transformation techniques are used to solve the problem. The solution is obtained in the transformed field using an innovative direct approach. Furthermore, we obtain the inverse transformations using a numerical method based on Fourier expansion. The obtained results are carefully presented through graphical representations and discussed extensively across different relaxation time values. It is evident that the relaxation time parameter significantly influences all the distributions. The displacement distributions are always continuous, whereas all other functions, including temperature variation, stress distribution, and micro-rotation, exhibit discontinuity at the wave front. The results obtained hold significant importance in various technological applications and in the manufacturing of mechanical components.

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“… is a time lag parameter due to diffusion, for the present time as t, we could say [ , ) 0 tt  is the past time interval. Studies in recent years have extensively examined numerous issues in thermo-elasticity based on MDD and fractional-order derivative [41][42][43][44][45][46][47][48][49][50][51][52]. These research works studied thermal waves with micro concentration in thermo-diffusion rotator.…”

Section:  mentioning

confidence: 99%

Memory dependent triple-phase-lag thermo-elasticity in thermo-diffusive medium

Yadav,

Singh,

Jurczak

2023

International Journal of Applied Mechanics and Engineering

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The objective of the paper is to look at the propagation and reflection of plane waves in a thermo-diffusion isotropic medium. The reflection of plane waves in a thermo-diffusion medium was investigated in this study with reference to triple phase lag thermo-elasticity. The memory dependent derivative (MDD) is applied for this investigation. The fundamental equations are framed and solved for a particular plane. The four plane waves that are propagating across the medium are, shown namely: longitudinal displacement, P-wave, thermal diffusion T-wave, mass diffusion MD-wave and shear vertical SV-wave. These four plane wave velocities are listed for a specific medium, illustrating the impact of the diffusion coefficient and are graphically represented. Expressions for the reflection coefficient for the incidence plane wave are produced from research on the reflection of plane waves from the stress-free surface. It should be noted that these ratios are graphically represented and shown when diffusion and memory dependent derivative (MDD) factors are in play. The new model is relevant to many different fields, including semiconductors, earth- engineering, and electronics, among others, where thermo-diffusion elasticity is significant. Diffusion is a technique that can be applied to the production of integrated circuits, MOS transistors, doped polysilicon gates for the base and emitter in transistors, as well as for efficient oil extraction from oil reserves. Wave propagation in a thermos-diffusion elastic media provides crucial information about the presence of fresh and enhanced waves in a variety of technical and geophysical contexts. For experimental seismologists, developers of new materials, and researchers, this model might be useful in revising earthquake estimates.

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Fractional order model of micropolar thermoelasticity and 2D half-space problem

Cited by 8 publications

References 35 publications

Application of the fractional-order theory of micro-polar thermoelasticity in the solid cylinder

Application of the fractional-order theory of micro-polar thermoelasticity in the solid cylinder

Dynamic response of a long cylinder under thermal shock in micropolar thermoelasticity

Memory dependent triple-phase-lag thermo-elasticity in thermo-diffusive medium

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