Regularity and Travelling Wave Profiles for a Porous Eyring–Powell Fluid with Darcy–Forchheimer Law

Palencia, José Luis Díaz; Rahman, Saeed Ur; Redondo, Antonio Naranjo; González, Julián Roa

doi:10.3390/sym14071451

Cited by 2 publications

(2 citation statements)

References 32 publications

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“…Recently with a degenerate difusivity, Eyring-Powell viscosity term, and a Darcy-Forchheimer law in the porous medium, the authors in [20] obtained the traveling wave profle and showed the existence of the asymptotic solution using the geometric perturbation theory. Tey also showed the existence of an exponential profle of the solution under an asymptotic approximation.…”

Section: Introductionmentioning

confidence: 99%

On the Construction of Traveling Water Waves with Constant Vorticity and Infinite Boundary

Shrestha

Sharma

2023

International Journal of Mathematics and Mathematical Sciences

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The issue of whether there is a closed orbit in the water waves in an infinite boundary condition is an outstanding open problem. In this work, we first discuss the various developments on the structure of water waves in the context of finite bottom conditions. We then focus on the behavior of water for the kinematic boundary for the infinite depth. We present some findings to address this issue by creating a water wave profile for the zero and constant vorticity conditions through the application of the Crandall–Rabinowitz theorem.

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Section: Introductionmentioning

confidence: 99%

On the Construction of Traveling Water Waves with Constant Vorticity and Infinite Boundary

Shrestha

Sharma

2023

International Journal of Mathematics and Mathematical Sciences

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“…When the literature is reviewed carefully, the analytical solutions of these type models are missing, most studies consider numerical solutions (Ali et al ., 2018; Oke, 2021; Bilal and Ashbar, 2020; Diaz et al. , 2022a, b, c, d). First, using appropriate similarity transformation, the equations are reduced to dimensionless form (NODE).…”

Section: Introductionmentioning

confidence: 99%

Analytical studies of Eyring-Powell fluid models

Pınar

2022

MMMS

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PurposeWhen the literature is reviewed carefully, the analytical solutions of these types of models are missing. First using appropriate similarity transformation, the equations are reduced to dimensionless form (NODE). To solve the reduced models, ansatz-based methods are considered. Finally, the explicit form solutions are obtained and the effects of material parameters and Prandtl number on the velocity and temperature profiles are shown in figures by the exact solutions. This study aims to discuss the aforementioned solution.Design/methodology/approachOne of the non-Newtonian fluids is Eyring-Powell (EP) fluid which is derived from the kinetic theory of fluids. Two variations of EP model are considered to obtain the exact solutions that are missing in the literature. In order to obtain exact solutions, one of the ansatz-based methods is considered. The effects of material parameters and Prandtl number on the velocity and temperature profiles are shown in figures by the exact solutions. The results will guide to develop the model to predict the velocity profile and temperature profile when experimental data for dimensionless material parameters of EP fluid are available.FindingsFinally, the explicit form solutions are obtained and the effects of material parameters and Prandtl number are shown in the figures. The results will guide to develop of the model to predict the velocity profile and temperature profile when experimental data for dimensionless material parameters of EP fluid are available. For the modified EP models, only special cases are considered. The generalized form, i.e. the modified EP models, which include deformation parameters, will be considered in the authors’ future work.Originality/valueWhen the literature is reviewed carefully, the analytical solutions of these types of models are missing so by this work, the gap in the literature is filled. The explicit form solutions are obtained and the effects of material parameters and Prandtl number on the velocity and temperature profiles are shown in figures.

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Regularity and Travelling Wave Profiles for a Porous Eyring–Powell Fluid with Darcy–Forchheimer Law

Cited by 2 publications

References 32 publications

On the Construction of Traveling Water Waves with Constant Vorticity and Infinite Boundary

On the Construction of Traveling Water Waves with Constant Vorticity and Infinite Boundary

Analytical studies of Eyring-Powell fluid models

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