Effect of Variable Thermal Conductivity on the Generalized Thermoelasticity Problems in a Fiber-Reinforced Anisotropic Half-Space

Xiong, Chunbao; Yu, Li; Niu, Yanbo

doi:10.1155/2019/8625371

Cited by 10 publications

(3 citation statements)

References 33 publications

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“…The boundary conditions are as follows 41 :

\begin{matrix} true \\ u = u_{0} \frac{x}{L}, v = 0, - k_{normalT} \frac{\partial T}{\partial r} = h_{normalT} false(T_{normalf} - T false), - D_{normalB} \frac{\partial C}{\partial r} = k false(C_{normalf} - C false) & normala normalt r = R, \end{matrix}

\begin{matrix} true \\ u false(\infty false) = 0, T false(\infty false) = T_{\infty}, C false(\infty false) = C_{\infty} & normala normals r \to \infty . \end{matrix}

…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…To formulate energy equation, variable thermal conductivity, which depends on temperature, is presumed. References [36,[41][42][43][44][45][46][47] comprise some current studies related to variable thermal conductivity. Not many works are available concerning the effect of temperaturedependent variable thermal conductivity and viscous dissipation on mixed convective heat transfer, especially past a stretched cylinder.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Viscous dissipation effect on mixed convective heat transfer of MHD flow of Williamson nanofluid over a stretching cylinder in the presence of variable thermal conductivity and chemical reaction

Ibrahim

Negera

2020

Heat Trans

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The effect of viscous dissipation and thermal radiation on mixed convective heat transfer of an MHD Williamson nanofluid past a stretching cylinder in the existence of chemical reaction is analyzed in this study. When energy equation is formulated, the variable thermal conductivity is deliberated. By proposing applicable similarity transformations, nonlinear ordinary differential equations (ODEs) are attained from partial differential equations. These nondimensional ODEs are computed through Runge‐Kutta method integrated with shooting method using MATLAB software. The results found numerically are in agreement with that of the published works of similar nature in a limiting case. The results of the local Nusselt number, skin friction coefficient, and Sherwood numbers are organized in tables. The influence of protuberant parameters on temperature, velocity, and concentration is presented by graphs. From the results, it is seen that for higher values of variable thermal conductivity parameter, the local Sherwood number and skin friction coefficient upsurge, whereas the local Nusselt number diminishes.

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“…The boundary conditions are as follows 41 :

\begin{matrix} true \\ u = u_{0} \frac{x}{L}, v = 0, - k_{normalT} \frac{\partial T}{\partial r} = h_{normalT} false(T_{normalf} - T false), - D_{normalB} \frac{\partial C}{\partial r} = k false(C_{normalf} - C false) & normala normalt r = R, \end{matrix}

\begin{matrix} true \\ u false(\infty false) = 0, T false(\infty false) = T_{\infty}, C false(\infty false) = C_{\infty} & normala normals r \to \infty . \end{matrix}

…”

Section: Mathematical Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Viscous dissipation effect on mixed convective heat transfer of MHD flow of Williamson nanofluid over a stretching cylinder in the presence of variable thermal conductivity and chemical reaction

Ibrahim

Negera

2020

Heat Trans

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“…Othman et al [20] discussed the effect of initial stress and variable thermal conductivity on an unbounded fiber-reinforced thick plate. Xiong et al [21] studied the effects of variable thermal conductivity on a thermoelasticity problem in an anisotropic fiber-reinforced plane. In a semiconducting medium with cylinder-shaped holes and varying thermal conductivity, Abbas et al [22] investigated the solutions of photothermal interactions.…”

Section: Introductionmentioning

confidence: 99%

The Effects of Variable Thermal Conductivity in Thermoelastic Interactions in an Infinite Material with and without Kirchhoff’s Transformation

Hobiny

Abbas

2022

Mathematics

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In this paper, the problem of an unbonded material under variable thermal conductivity with and without Kirchhoff’s transformations is investigated. The context of the problem is the generalized thermoelasticity model. The boundary plane of the medium is exposed to a thermal shock that is time-dependent and considered to be traction-free. Because nonlinear formulations are difficult, the finite element method is applied to solve the problem without Kirchhoff’s transformations. In a linear case, when using Kirchhoff’s transformations, the problem’s solution is derived using the Laplace transforms and the eigenvalue approach. The effect of variable thermal conductivity is discussed and compared with and without Kirchhoff’s transformations. The graphical representations of numerical results are shown for the distributions of temperature, displacement and stress

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Magneto-thermoelastic interactions in an unbounded orthotropic viscoelastic solid under the Hall current effect by the fourth-order Moore-Gibson-Thompson equation

Abouelregal

Akgöz

Cívalek

2023

Computers & Mathematics with Applications

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Effect of Variable Thermal Conductivity on the Generalized Thermoelasticity Problems in a Fiber-Reinforced Anisotropic Half-Space

Cited by 10 publications

References 33 publications

Viscous dissipation effect on mixed convective heat transfer of MHD flow of Williamson nanofluid over a stretching cylinder in the presence of variable thermal conductivity and chemical reaction

Viscous dissipation effect on mixed convective heat transfer of MHD flow of Williamson nanofluid over a stretching cylinder in the presence of variable thermal conductivity and chemical reaction

The Effects of Variable Thermal Conductivity in Thermoelastic Interactions in an Infinite Material with and without Kirchhoff’s Transformation

Magneto-thermoelastic interactions in an unbounded orthotropic viscoelastic solid under the Hall current effect by the fourth-order Moore-Gibson-Thompson equation

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