Fractional heat conduction model with phase lags for a half‐space with thermal conductivity and temperature dependent

Abo‐Dahab, S. M.; Abouelregal, Ahmed E.; Ahmad, Harith

doi:10.1002/mma.6614

Cited by 22 publications

(19 citation statements)

References 41 publications

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“…The figures show that the effect of a change in thermal conductivity should not be disregarded [44]. The mechanical distributions of the nano beam show that the wave spreads in medium as a wave with a finite speed [45]. In second case, an effect on dimensionless field quantities has been performed on the angular rotation velocity Ω.…”

Section: Resultsmentioning

confidence: 99%

Temperature-Dependent Physical Characteristics and Varying Heat Effects on Nonlocal Rotating Nanobeams Due to Dynamic Load

Abouelregal¹,

Mohammed²,

Moustapha³

et al. 2020

Preprint

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A theoretical nonlocal thermoelastic model for studying the effects of the thermal conductivity variability on a rotating nanobeam has been described in the present article. The theory of thermal stress is employed using the Euler–Bernoulli beam model and generalized heat conduction with phase lags. It is believed that the thermal conductivity of the current model varies linearly according to temperature. Due to variable harmonic heat, the considered nanobeam excited and was subjected to a time-varying exponential decay load. Using the Laplace transform process, the analytical solutions for displacement, deflection, thermodynamic temperature and bending moment of rotating nanobeams are provided in final forms and a numerical example has been taken to address the problem. A comparison of the stated results was displayed and additionally, the influences of non-local parameters and varying load were analyzed and examined. We also investigate how the linear changes in the temperature of physical properties can influence both the static and dynamic responses to the rotating nanobeam.

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Section: Resultsmentioning

confidence: 99%

Temperature-Dependent Physical Characteristics and Varying Heat Effects on Nonlocal Rotating Nanobeams Due to Dynamic Load

Abouelregal¹,

Mohammed²,

Moustapha³

et al. 2020

Preprint

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“…Also,

are dielectric coefficients,

is the thermal relaxation time, the coefficient

is for thermal conductivity,

represent the electric field and

is the dynamical temperature increment, where

is the initial temperature. The equations of motion for a piezoelectric medium without the body forces and energy equation [ 10 , 45 ]:

…”

Section: Fundamental and Governing Equationsmentioning

confidence: 99%

Functionally Graded Piezoelectric Medium Exposed to a Movable Heat Flow Based on a Heat Equation with a Memory-Dependent Derivative

2020

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The current work deals with the study of a thermo-piezoelectric modified model in the context of generalized heat conduction with a memory-dependent derivative. The investigations of the limited-length piezoelectric functionally graded (FGPM) rod have been considered based on the presented model. It is assumed that the specific heat and density are constant for simplicity while the other physical properties of the FGPM rod are assumed to vary exponentially through the length. The FGPM rod is subject to a moving heat source along the axial direction and is fixed to zero voltage at both ends. Using the Laplace transform, the governing partial differential equations have been converted to the space-domain, and then solved analytically to obtain the distributions of the field quantities. Numerical computations are shown graphically to verify the effect of memory presence, graded material properties, time-delay, Kernel function, and the thermo-piezoelectric response on the physical fields.

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“…Concurrence is defined by the reduced density matrix for TQs B and A . [ 33–37 ]

normalC ((), t) = \max ({},, 0, λ_{1} - λ_{2} - λ_{3} - λ_{4})

where λ j ( j = 1, 2, 3, 4) are the eigenvalues of the square roots of the density matrix R = ρ AB ( σ y ⊗ σ y ) ρ *AB ( σ y ⊗ σ y ), and σ y is the Pauli matrix. ρ * AB is the complex conjugate of ρ AB .…”

Section: Forecasting Techniquesmentioning

confidence: 99%

Atomic Fisher information and entanglement forecasting for quantum system based on artificial neural network and time series model

Abdel‐Khalek

Alhag

Ragab

et al. 2020

Int J of Quantum Chemistry

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In this article, we apply a statistical model for forecasting the quantum entanglement between a two‐qubit and optical field in binomial distribution. We explore the link between the atomic Fisher information, quantum entropy, and the statistical properties of the field. The qubit‐qubit entanglement is investigated through concurrence during the interaction time. The dynamics of the statistical quantities will be forecasted using the time series and neural network models. The effect of the field distribution parameter (number of successes) is examined by the time series models and artificial neural network. We compare the accuracy of both modes from the perspective of the dynamic of the quantum entropy and atomic Fisher information. A statistical description for the data has been obtained and is discussed to show the statistical technique analysis the data of statistical quantities. The results obtained have several applications and are related with quantum statistics and quantum information processing.

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Fractional heat conduction model with phase lags for a half‐space with thermal conductivity and temperature dependent

Cited by 22 publications

References 41 publications

Temperature-Dependent Physical Characteristics and Varying Heat Effects on Nonlocal Rotating Nanobeams Due to Dynamic Load

Temperature-Dependent Physical Characteristics and Varying Heat Effects on Nonlocal Rotating Nanobeams Due to Dynamic Load

Functionally Graded Piezoelectric Medium Exposed to a Movable Heat Flow Based on a Heat Equation with a Memory-Dependent Derivative

Atomic Fisher information and entanglement forecasting for quantum system based on artificial neural network and time series model

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