Analytical solution of non-Fourier heat conduction in a 3-D hollow sphere under time-space varying boundary conditions

Akbari, Shahin; Faghiri, Shahin; Poureslami, Parham; Hosseinzadeh, Kh.; Shafii, Mohammad Behshad

doi:10.1016/j.heliyon.2022.e12496

Cited by 37 publications

(13 citation statements)

References 30 publications

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“…Gaining a comprehensive understanding of the stability properties of such systems holds paramount importance in ensuring their robustness and dependability in real-world applications [ [7] , [8] , [9] ]. Moreover, the incorporation of time-varying parameters provides an avenue for achieving a more precise and faithful representation of the inherent complexities in these systems, thereby affording a deeper insight into their dynamic behavior under varying conditions [ [10] , [11] , [12] ]. The presence of multiple time scales in singularly perturbed systems gives rise to unique dynamics, where certain subsystems evolve significantly faster than others [ [13] , [14] , [15] ].…”

Section: Introductionmentioning

confidence: 99%

Is exponential stability achievable in singular perturbed delayed systems with time-varying parameters? A comprehensive analysis

Chen,

Ouyang,

Zhang

et al. 2024

Heliyon

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Section: Introductionmentioning

confidence: 99%

Is exponential stability achievable in singular perturbed delayed systems with time-varying parameters? A comprehensive analysis

Chen,

Ouyang,

Zhang

et al. 2024

Heliyon

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“…Alipour et al 40 observed the hybrid NF over a porous cavity by using response surface method. Akbari et al 41 obtained the analytical results for non-Fourier heat transmission inside a hollow sphere. Faghiri et al 42 considered the non-Newtonian fluid model with non-uniform wall heat flux through a circular tube.…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional nanofluid flow impinging on a porous stretching sheet with nonlinear thermal radiation and slip effect at the boundary enclosing energy perspective

Zeeshan

Khan

Eldin

et al. 2023

Sci Rep

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In the current analysis, we examine the heat transmission analysis of nanofluid (NF) movement impinging on a porous extending sheet. The influence of nonlinear thermal radiation (TR), buoyancy force, and slip at the boundary are also examined. The leading partial differential equations (PDEs) are altered to convectional differential equation (ODEs) by suitable transformation. The ODEs are then transformed to first order by introducing the innovative variables and elucidated numerically using bvph2. The Skin Friction (SF) and Nusselt number (NN) are elaborated in detail for Al2O3, Cu, and TiO2 nanoparticles. For validation of the code, ND-solve approach is also applied. The novelty of the current effort is inspect NF flow with heat transfer over extending sheet enclosing thermal and slip effect at the boundary numerically. The thickness of boundary layer increases as the temperature and radiation factors are increased. It is perceived that the fluid velocity decays with the growing values of volume fraction parameter. When permeability and velocity slip parameters are improved the velocity outline enhances. It is investigated that the temperature inside the fluid enhances as the values of velocity slip factor, permeability factor and Biot number are augmented. For the growing values of temperature ratio, volume friction, and thermophoresis factor the temperature is enhances. It is detected that the slip factor causes the friction factor to decrease. Furthermore, the existent study is associated with the preceding.

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“…Raza et al [34] investigated how to maximize entropy in Carreau liquid flow via a non-linearly elongating sheet. The papers [35][36][37][38][39][40] contain additional information on entropy study/heat conduction over various geometrical aspects.…”

Section: Introductionmentioning

confidence: 99%

Numerical investigation for entropy‐based magneto nanofluid flow over non‐linear stretching surface with slip and convective boundary conditions

Babu

Reddy²,

Naidu³

et al. 2023

Z Angew Math Mech

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The nanoliquid flows place a significant role in modern research due to the vast number of applications in the Food industry, manufacturing, thermal management, enhanced oil recovery, biomedical applications, and so on. This article presents the analysis of entropy generation on convective nanofluid flow in a three-dimensional nonlinear stretching sheet with slip effects. Brownian motion and thermophoresis impacts are adopted by the nanoparticle concentration and temperature profiles. The PDEs are remodeled into ODEs by employing the appropriative simulated alternations, and the ODEs are solved by utilizing the R-K-F scheme along with the shooting technique. The main contributions of physical stream factors on the nanofluid concentration, heat, and speed profiles are displayed and explored via plots. Moreover, the rate of heat transfer and surface drag force are examined through tabular structures. In view of this, the nanofluids have more heat transfer capability and improve thermal properties. The slip factors are used in the boundary conditions of the velocity, and the limit conditions are utilized for the hotness and speed of the nanoparticles. The rate of heat transfer in a non-linear stretching sheet is 1%-2% more than linear stretching sheet for varying values of Prandtl number Pr and Magnetic field M.

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Analytical solution of non-Fourier heat conduction in a 3-D hollow sphere under time-space varying boundary conditions

Cited by 37 publications

References 30 publications

Is exponential stability achievable in singular perturbed delayed systems with time-varying parameters? A comprehensive analysis

Is exponential stability achievable in singular perturbed delayed systems with time-varying parameters? A comprehensive analysis

Two-dimensional nanofluid flow impinging on a porous stretching sheet with nonlinear thermal radiation and slip effect at the boundary enclosing energy perspective

Numerical investigation for entropy‐based magneto nanofluid flow over non‐linear stretching surface with slip and convective boundary conditions

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