The electrical MHD and Hall current impact on micropolar nanofluid flow between rotating parallel plates

Shah, Zahir; Islam, Saeed; Gul, Taza; Bonyah, Ebenezer; Khan, Muhammad Altaf

doi:10.1016/j.rinp.2018.01.064

Cited by 193 publications

(77 citation statements)

References 45 publications

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“…He found out that an increase in the magnetic number led to a decrease in the velocity of the fluid. Similarly the effect of magnetic field and heat transfer have also been studied in detail by [7][8][9][10][11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Parametric investigation of the Nernst–Planck model and Maxwell’s equations for a viscous fluid between squeezing plates

et al. 2019

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The Poisson-Boltzmann equation is derived from the assumption of thermodynamic equilibrium where the ionic distribution is not affected by fluid flow. Although this is a reasonable assumption for steady electroosmotic flow through straight micro-channels, there are some important cases where convective transport of ions has nontrivial effects. In these cases, it is necessary to adopt the Nernst-Planck equation instead of the Poisson-Boltzmann equation to model the internal electric field. The modeled system of equations is transformed by similarity transformation to derive the equations of flow field, electric potential, electrokinetic force, entropy generation, and energy equation. The Parametric Continuation Method (PCM) is used to solve the system of ordinary differential equations. It is concluded that decrease in the mass diffusion decreases the anion distribution from lower to upper plate. The Batchelor number decreases the strength of magnetic field. Entropy generation and the Bejan number are maximum near the two plates because of the maximum disorderness due to plate movements and have minimum value in the fluid's center. Also the Eckert number increases viscous heating, which causes the entropy production in the vicinity of the two plates to increase.

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Section: Introductionmentioning

confidence: 99%

Parametric investigation of the Nernst–Planck model and Maxwell’s equations for a viscous fluid between squeezing plates

et al. 2019

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“…Hannes Alfven 12 for the first time used the word magnetohydrodynamics in 1942. Recently, Shah et al [13][14][15] have discussed MHD nanofluids flow with rotating systems. Farady 16 conducted an experiment in 1832 over Waterloo Bridge in London in which he studied the flow of salty water through River Thames under the earth's magnetic field, which produces the potential difference between the two banks of the River Thames.…”

Section: Introductionmentioning

confidence: 99%

Study of Three dimensional Darcy–Forchheimer squeezing nanofluid flow with Cattaneo–Christov heat flux based on four different types of nanoparticles through entropy generation analysis

Zubair

Shah

Islam

et al. 2019

Advances in Mechanical Engineering

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In this research article, the unsteady nanofluid flow between two horizontal plates is discussed. The main focus of this study is on the explanation of the relative study of water-based nanofluids with four different types of nanoparticles. The nanoparticles selected for this specific research article are copper oxide (CuO), aluminum oxide (Al 2 O 3 ), copper (Cu), and silver (Ag). The upper plate is moving downward with time-dependent velocity while the lower plate is stretching horizontally. Also the lower plate is made up of porous medium. The stream in permeable region is characterized by Darcy-Forchheimer relation. Cattaneo-Christov heat flux model is used for heat transfer phenomena. Viscous dissipation effect is taken in account. Skin friction and Nusselt number are numerically calculated. Total entropy generation is also discussed for squeezing system. Transformation technique is applied to transform the model from partial differential equations to ordinary differential equations. Homotopy techniques are applied to solve the problem. The influence of important parameters on velocity, temperature, and entropy profiles have been shown graphically and discussed in detail.

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“…Hameed et al [32] investigated the combined magnetohydrodynamic and electric field effect on an unsteady Maxwell nanofluid flow over a stretching surface under the influence of variable heat and thermal radiation. Recently, Shah et al [33,34] studied the effects of hall current on three dimensional non-Newtonian nanofluids and micropolar nanofluids in a rotating frame.…”

Section: Introductionmentioning

confidence: 99%

The Rotating Flow of Magneto Hydrodynamic Carbon Nanotubes over a Stretching Sheet with the Impact of Non-Linear Thermal Radiation and Heat Generation/Absorption

et al. 2018

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Abstract:The aim of this research work is to investigate the innovative concept of magnetohydrodynamic (MHD) three-dimensional rotational flow of nanoparticles (single-walled carbon nanotubes and multi-walled carbon nanotubes). This flow occurs in the presence of non-linear thermal radiation along with heat generation or absorption based on the Casson fluid model over a stretching sheet. Three common types of liquids (water, engine oil, and kerosene oil) are proposed as a base liquid for these carbon nanotubes (CNTs). The formulation of the problem is based upon the basic equation of the Casson fluid model to describe the non-Newtonian behavior. By implementing the suitable non-dimensional conditions, the model system of equations is altered to provide an appropriate non-dimensional nature. The extremely productive Homotopy Asymptotic Method (HAM) is developed to solve the model equations for velocity and temperature distributions, and a graphical presentation is provided. The influences of conspicuous physical variables on the velocity and temperature distributions are described and discussed using graphs. Moreover, skin fraction coefficient and heat transfer rate (Nusselt number) are tabulated for several values of relevant variables. For ease of comprehension, physical representations of embedded parameters such as radiation parameter (Rd), magnetic parameter (M), rotation parameter (K), Prandtl number (Pr), Biot number (λ), and heat generation or absorption parameter (Q h ) are plotted and deliberated graphically.

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The electrical MHD and Hall current impact on micropolar nanofluid flow between rotating parallel plates

Cited by 193 publications

References 45 publications

Parametric investigation of the Nernst–Planck model and Maxwell’s equations for a viscous fluid between squeezing plates

Parametric investigation of the Nernst–Planck model and Maxwell’s equations for a viscous fluid between squeezing plates

Study of Three dimensional Darcy–Forchheimer squeezing nanofluid flow with Cattaneo–Christov heat flux based on four different types of nanoparticles through entropy generation analysis

The Rotating Flow of Magneto Hydrodynamic Carbon Nanotubes over a Stretching Sheet with the Impact of Non-Linear Thermal Radiation and Heat Generation/Absorption

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