The Oxford Handbook of the Trinity. Edited by GillesEmery and MatthewLevering. Pp. xvi, 632, Oxford,Oxford University Press,2011, $50.00.

Tanner, Norman

doi:10.1111/heyj.4_12329

Cited by 6 publications

(8 citation statements)

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“…However, the “Kelvin–Voigt model” is a frequently used mechanical model for characterizing the viscoelastic properties of materials. In recent decades, significant contributions have been made by Tanner (1988) and Huilgol and Phan-Thien (1997) towards addressing problems concerning linear viscoelastic materials taking into account temperature variations. Othman (2004) established a mathematical model of the theory of thermo-viscoelasticity based on LS and GL theories.…”

Section: Introductionmentioning

confidence: 99%

Analysis of nonlocal effects on plane waves in a transversely isotropic visco-thermoelastic medium with variable thermal conductivity

Chaudhary,

Deswal,

Sheoran

2023

HFF

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Purpose This study aims to analyse the behaviour of plane waves within a nonlocal transversely isotropic visco-thermoelastic medium having variable thermal conductivity. Design/methodology/approach The concept of enunciation is used in the generalized theory of thermoelasticity in accordance with the Green–Lindsay and Eringen’s nonlocal elasticity models. The linear viscoelasticity model developed by Kelvin–Voigt is used to characterize the viscoelastic properties of transversely isotropic materials. Findings It has been noticed that three plane waves, which are coupled together, travel through the medium at three different speeds. The derivation of reflection coefficients and energy ratios for reflected waves is carried out by incorporating suitable boundary conditions. Numerical computations are performed for the amplitude ratios, phase speeds and energy partition and displayed in graphical form. Originality/value The outcomes of the numerical simulation demonstrate that the amplitude ratios are significantly influenced by variable thermal conductivity, nonlocal parameters and viscosity. It is further observed from the plots that the phase speeds in a transversely isotropic medium depend on the angle of incidence. In addition, it has been established that the energy is preserved during the reflection phenomenon.

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Section: Introductionmentioning

confidence: 99%

Analysis of nonlocal effects on plane waves in a transversely isotropic visco-thermoelastic medium with variable thermal conductivity

Chaudhary,

Deswal,

Sheoran

2023

HFF

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“…Newtonian fluids have been considered in many earlier studies on peristaltic motion; nevertheless, non-Newtonian fluids [9][10][11][12][13][14] have also lately been emphasized in liquids at which a nonlinear relationship among shear rate and shear stress exists. As a result, at a particular temperature and pressure, a non-Newtonian liquid's stickiness is not consistent but rather relies on the liquid's kinematics records or shear rate [15]. Consequently, it is impossible to create a single fundamental correlation that can accurately predict the manifestation of all non-Newtonian fluid characteristic.…”

Section: Introductionmentioning

confidence: 99%

Temperature‐dependent electrical conductivity impact on radiative and dissipative peristaltic transport of boron nitride‐ethylene glycol nanofluid through asymmetric channels

Hussein,

Ahmed,

Arafa

et al. 2023

Z Angew Math Mech

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Mathematical simulation of biological fluids is of upmost significance due to its numerous medical uses. Interpreting various biological flows necessitates a thorough knowledge of the peristaltic mechanism. This paper presents a computational study for the peristaltic pumping within vertical asymmetric channels filled with BN‐EG nanofluid under the influence of temperature‐dependent electrical conductivity and thermal radiation. Experimental study showed that the nanofluid created by suspending Boron Nitride particles in a combination of Ethylene Glycol exhibited non‐Newtonian characteristics. Further, the Carreau's fluid model provides accurate predictions about the rheological properties of BN‐EG nanofluid. Various configurations of the outer boundaries are considered, namely, square wave, multi‐sinusoidal wave, trapezoidal wave, and triangular wave. A uniform magnetic field together with nanoparticles and mass concentrations, joule heating, first‐order chemical reaction as well as viscous dissipation are considered. Influences of the Dufour and Soret numbers are examined, and the cases of biological scientific assumptions which is known as low Reynolds number and long wavelength are applied. All the computations are obtained numerically using Mathematica symbolical software (ND‐Solve), and the obtained results are presented in terms of the axial velocity u, heat transfer rate Z, concentration profile Ω, temperature profile θ, extra stress tensor , pressure gradient , pressure rise and stream function ψ. The major outcomes revealed that the maximizing in electrical conductivity coefficient, variable viscosity coefficient and magnetic field parameter is better to obtain a higher rate of the heat transfer while the increase in thermo‐diffusion effects as well as linear thermal radiation coefficient causes a reduction in the rate of heat transfer.

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“…Solution of boundary value problems for linear viscoelastic materials including temperature variations in both quasistatic and dynamic problems has made great strides in the last decades, as seen in the works [32][33][34][35][36].…”

Section: Introductionmentioning

confidence: 99%

Electro-magnetic waves in generalized thermo-viscoelasticity for different theories

Ezzat

El-Karamany

El-Bary

2015

JAE

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Some mathematical models of the equations of generalized magneto-thermo-viscoelasticty for isotropic media are given. The formulation is applied to each generalization of the Lord-Shulman theory, the Green-Lindsay theory and the Chandrasekharaiah and Tzou theory as well as to the coupled theory. The state space approach is adopted for the solution of problems in the absence or presence of heat sources. The Laplace-transform technique is used. A numerical method is employed for the inversion of the Laplace transforms. Numerical results for the stress distribution are given and illustrated graphically for each problem. Comparisons are made with the results predicted by the four theories.

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The Oxford Handbook of the Trinity. Edited by GillesEmery and MatthewLevering. Pp. xvi, 632, Oxford,Oxford University Press,2011, $50.00.

Cited by 6 publications

References 0 publications

Analysis of nonlocal effects on plane waves in a transversely isotropic visco-thermoelastic medium with variable thermal conductivity

Analysis of nonlocal effects on plane waves in a transversely isotropic visco-thermoelastic medium with variable thermal conductivity

Temperature‐dependent electrical conductivity impact on radiative and dissipative peristaltic transport of boron nitride‐ethylene glycol nanofluid through asymmetric channels

Electro-magnetic waves in generalized thermo-viscoelasticity for different theories

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