Electrohydrodynamic stability and heat and mass transfer of a dielectric fluid flowing over an inclined plane through porous medium with external shear stress

Hafez, N. M.; Assaf, Ahmed

doi:10.1140/epjp/s13360-022-03615-5

Cited by 3 publications

(2 citation statements)

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“…Such influence of viscosity confirms what obtained previously by Refs. [9,12]. The viscosity is expected to have two diverse effects.…”

Section: Nonlinear Numerical Simulationmentioning

confidence: 99%

“…On the flow behavior down an inclined solid substrate, the effects of couple stress and Reynolds number were addressed by Sirwah and Assaf [8]. In the presence of an electric field, the linear stability of a viscous dielectric fluid occupying a porous medium and traveling down an inclined surface with heat and mass transfer is explored by Hafez and Assaf [9] under the influence of external shear given at the flow's above plane. Further, the nonlinear instability analysis had been considered under various effects, such as the surveys [10][11][12][13][14][15] and [16].…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear instability of surface waves between viscous–liquid and subsonic‐gas layers subject to uniform oblique magnetic field

Assaf,

Hafez

2024

Z Angew Math Mech

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Nonlinear instability of surface waves between viscous–liquid and inviscid‐gas layers is discussed. The two fluids are magnetic and subjected to uniform oblique magnetic field. The gas is subsonic and the viscosity is introduced by viscous potential approximation. The evolution equations near and on the marginal state are derived by means of multiple scales technique. The stability criteria of the waves are obtained by the modulation idea. Many special cases of dispersion equation as well as solvability conditions correspond well the similar ones in the literature. Various numerical applications have been investigated to reveal the parameters effects on the system stability. Linear results show dual influences for magnetic field, sum of inclination angles and permeability ratio whereas the wavelength, gas motion, and inclination angle in the liquid tend to destabilize the flow. Nonlinear applications reveal dual role for the gas thickness, while it has a linear stable‐role. Moreover, nonlinearity shows dual roles for viscosity and liquid thickness, which have no influences according to linear theory. The investigation of stability using nonlinear theory seems more accurate to describe the (un)stable influences comparing with the linear one. The current work may be useful to give more accurate comprehension of stability process as well as to obtain the required conditions of stability by designing suitable devices, which control the model parameters.

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“…Such influence of viscosity confirms what obtained previously by Refs. [9,12]. The viscosity is expected to have two diverse effects.…”

Section: Nonlinear Numerical Simulationmentioning

confidence: 99%