An optimised stability model for the magnetohydrodynamic fluid

Hussain, Zakir; Zeesahan, Raja; Shahzad, Muhammad; Ali, Mehboob; Sultan, Faisal; Anter, Ahmed M.; Zhang, Huisheng; Khan, Nazar

doi:10.1007/s12043-020-02043-3

Cited by 16 publications

(5 citation statements)

References 19 publications

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“…This field, initiated by Alfvén's Nobel Prize-winning work, explores how magnetic fields influence fluid motion and induce electromagnetic-hydrodynamic waves [ 17 ]. Hussain et al [ 18 ] presented an optimized model in which the magnetic field was decreased in response to a rise in perturbation caused by an upsurge in Hartmann number and a few waves number as a consequence of previous MHD research establishing an important fact. In addition, it has been reported that the flow becomes unstable when Re grows due to an increase in growth rate.…”

Section: Introductionmentioning

confidence: 99%

Numerical modeling of a MHD non-linear radiative Maxwell nano fluid with activation energy

Ahmed,

Reza-E-Rabbi,

Ali

et al. 2024

Heliyon

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Section: Introductionmentioning

confidence: 99%

Numerical modeling of a MHD non-linear radiative Maxwell nano fluid with activation energy

Ahmed,

Reza-E-Rabbi,

Ali

et al. 2024

Heliyon

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“…Such a type of studying the self-gravitating instability of a liquid jet is inevitable especially by applying the method of presenting solenoidal vector in a sense of existing on poloidal and toroidal quantities. Also, Radwan [3] has produced several extensions for it as well as the number of other models that incorporate additional electromagnetic or electrodynamic forces [11][12][13]. Now, in our context, we are going to examine the effect of the magneto gravitational stability for flowing, coaxial fluid cylinders that are magnetised, with twice disrupted interface.…”

Section: Introductionmentioning

confidence: 99%

Stability of Two Self-Gravitating Magneto -Dynamic Oscillating Fluids Interface

El-azab,

Hasan,

Ismail

et al. 2023

MSA Engineering Journal

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A compound on miscible fluid jet's magneto hydrodynamics (MHD) stability is discussed. For that model, which incorporates fluid inertia, capillary forces, and electromagnetic forces, a general eigenvalue relation is derived. Small axisymmetric disturbances are the only ones that cause the model to be capillary unstable, and the rest of the disturbances are stable. The attractive fields inside and outside to the gas-mantle fly have consistently a settling impact. The radii proportion of the concentric planes assumes a significant part in the (unsteadiness) security states and are (diminishing) expanding with expanding attractive field power as the outside span is a lot bigger than the inside range; under certain limitations of the radii proportion or more a specific worth of the attractive field the slim precariousness is overlooked and totally smothered and afterward dependability sets in. The last option result is checked logically and affirmed mathematically for the situation where the barrel shaped surface of the external stream is sited at endlessness.

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“…However, under the action of external electric field, Joule heat will be generated inevitably with the increase of voltage. In recent years, in order to cut down the Joule heat effect efficaciously, people have studied the transport process of micronanofluids by applying a transverse magnetic field, hoping to elevate the flow velocity of micro-nanofluids through the effect of electromagnetic hydrodynamics [7][8][9]. For example, the effect of MHD and electroosmosis on the radiative tangent hyperbolic nanofluid flow through a porous medium is investigated by Ramesh et al [10].…”

Section: Introductionmentioning

confidence: 99%

Unsteady Electroosmotic Flow of Jeffrey Fluid in a Circular Microchannel under the Combined Action of Vertical Magnetic Field, External Electric Field, and Pressure at High Zeta Potential

Ren

Zhang

Cui

et al. 2022

Advances in Mathematical Physics

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The unsteady electroosmotic flow (EOF) for one kind of linear viscoelastic fluid, which is Jeffrey type fluid, is investigated under the common impact of vertical magnetic field, external electric field, and pressure at high Zeta potential in a circular microchannel. The numerical solutions of the potential and velocity distributions are obtained by solving the nonlinear Poisson-Boltzmann equation, the constitutive equation of the Jeffrey fluid, and the Cauchy momentum equation applying the Chebyshev spectral method and the finite difference method. By contrast, the Chebyshev spectral method has higher accuracy and less computation. The flow characteristics of Jeffrey fluid at high Zeta potential are analyzed with the numerical solution obtained by the Chebyshev spectral method. The results show that the velocity of Jeffrey fluid increases with the increase of the wall Zeta potential and electric width. The oscillation amplitude of velocity distribution increases with the increase of relaxation time but decreases with the increase of retardation time. When the Hartmann number is smaller, the increase of relaxation time leads to the increase of velocity; when the Hartmann number is larger, the increase of relaxation time leads to the decrease of velocity. No matter what the Hartmann number is, the velocity always decreases with the increase of the retardation time. The velocity tends to be stable gradually with the increase of time.

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An optimised stability model for the magnetohydrodynamic fluid

Cited by 16 publications

References 19 publications

Numerical modeling of a MHD non-linear radiative Maxwell nano fluid with activation energy

Numerical modeling of a MHD non-linear radiative Maxwell nano fluid with activation energy

Stability of Two Self-Gravitating Magneto -Dynamic Oscillating Fluids Interface

Unsteady Electroosmotic Flow of Jeffrey Fluid in a Circular Microchannel under the Combined Action of Vertical Magnetic Field, External Electric Field, and Pressure at High Zeta Potential

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