Instability in Poiseuille flow in a porous medium with slip boundary conditions and uniform vertical throughflow effects

Badday, Alaa Jabbar; Harfash, Akil J.

doi:10.1007/s10665-022-10231-w

Cited by 15 publications

(2 citation statements)

References 32 publications

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“…For further details, interested readers may refer to Refs. [53][54][55][56][57][58][59]. The initial step in applying this method involves transforming the solution domains of 𝑢 𝑓 , 𝑢 𝑝 , 𝜃 and 𝜙 to (−1, 1), which corresponds to the domain of the Chebyshev polynomials of the first kind, 𝑇 𝚤 (𝑧).…”

Section: Methodsmentioning

confidence: 99%

Soret effect on stability of Darcy problem in a bidispersive porous medium with an exothermic chemical surface reaction

Afluk,

Harfash

2024

Z Angew Math Mech

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We examine a saturated bidispersive porous medium undergoing an exothermic chemical reaction at its lower boundary. The fluid flow within this medium is modelled using the Darcy approach. While the Dufour effect is disregarded, the influence of the Soret effect is thoroughly explored. This problem represents a complex multiphysical phenomenon that integrates fluid dynamics, heat and mass transfer, chemical kinetics and thermoelectric effects. This problem finds relevance in various scientific and engineering applications, including enhanced oil recovery, chemical engineering, environmental engineering and energy systems. We introduce a complementary energy theory alongside a linear theoretical framework for the model. The Chebyshev collocation method is employed to derive both linear and nonlinear results. Our findings reveal that the effect of enhancing the Soret coefficient on the system's stability is contingent upon the boundary conditions and the Lewis number. Specifically, an increase in the Soret coefficient generally stabilises the system during stationary convection. Conversely, in scenarios where oscillatory convection prevails, a higher Soret coefficient tends to destabilise the system.

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Section: Methodsmentioning

confidence: 99%

Soret effect on stability of Darcy problem in a bidispersive porous medium with an exothermic chemical surface reaction

Afluk,

Harfash

2024

Z Angew Math Mech

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“…In the second step of homogenization, at the macroscopic level, they obtained the Darcy-Brinkman type of flow rule describing the coupled parallel flows in the porous medium. Badday and Harfash [37] applied the Brinkman model to study the effect of uniform vertical throughflow/crossflow on the instability of Poiseuille flow in a porous medium. Focusing on the effect of slip boundary conditions on instability, the Chebyshev collocation method was utilized to approximate the eigenvalue system and they found that the throughflow Reynolds number RT has both stabilizing and destabilizing effects.…”

Section: Introductionmentioning

confidence: 99%

Non-steady pressure-driven flow of a Bingham fluid through a channel filled with a Darcy–Brinkman medium

Gunawan

Ven

2022

J Eng Math

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Magnetohydrodynamic instability of fluid flow in a bidisperse porous medium

Hajool,

Harfash

2024

J Eng Math

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Instability in Poiseuille flow in a porous medium with slip boundary conditions and uniform vertical throughflow effects

Cited by 15 publications

References 32 publications

Soret effect on stability of Darcy problem in a bidispersive porous medium with an exothermic chemical surface reaction

Soret effect on stability of Darcy problem in a bidispersive porous medium with an exothermic chemical surface reaction

Non-steady pressure-driven flow of a Bingham fluid through a channel filled with a Darcy–Brinkman medium

Magnetohydrodynamic instability of fluid flow in a bidisperse porous medium

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