A finite element Menter Shear Stress turbulence transport model

Montgomery, Philipbar, Brad; Waters, Jiajia; Carrington, David B.

doi:10.1080/10407782.2020.1746155

Cited by 1 publication

(1 citation statement)

References 17 publications

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“…A singular two-point boundary value problem's numerical solution was obtained using the domain decomposition homotopy perturbation approach by Roul [28]. Other authors [29][30][31][32][33] have studied elasticity theories of various kinds of analytical and numerical methods and their impact on modern applied fields. Refs.…”

Section: Introductionmentioning

confidence: 99%

Solution of a Half-Space in Generalized Thermoelastic Problem in the Context of Two Models Using the Homotopy Perturbation Method

Althobaiti,

Abo-Dahab,

Kilany

et al. 2023

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This paper estimated the problem of one-dimensional generalized thermoelastic half-space in medium considering two models: the Lord and Shulman (LS) model and the Dual-Phase-Lag (DPL) model. We assumed that the surface of the half-space was free from traction force and under an exponentially varying external heat source at the boundary with time. The technique of homotopy perturbation has been applied to find the approximate solution for the interactions of thermoelasticity with the applied boundary condition. The effect of a heat source that varies with the time and the free traction force are investigated for the temperature, displacement, and stress. The numerical results obtained are presented graphically to show the influence of the new external parameters. The results obtained illustrate the strong impacts on the displacement, temperature, and stress with the variations in the two models as well as the relaxation time parameter. The results show the agreement between the present results and the previous obtained results of the phenomenon and applicable, especially in biology, acoustics, engineering, and geophysics.

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