Magnetohydrodynamic flow of Bingham fluids in a plane channel: A theoretical study

Pourjafar, M.; Malmir, F.; Bazargan, S.; Sadeghy, Kayvan

doi:10.1016/j.jnnfm.2018.12.005

Cited by 7 publications

(6 citation statements)

References 27 publications

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“…This observation has a good agreement with previous study of MHD flow on Bingham fluid in a channel flow. 35 T A B L E 4 Normalized pressure drop (Δp 0 ¼ Δp= 0:5ρu 2 0 L D À Á ) in the crossslot for various GNF models under the influence of magnetic field.…”

Section: Discussionmentioning

confidence: 99%

“…The dimensionless velocity profiles were presented for different physical parameters, concluding that the velocity profile increases for higher values of mixed convection, while showing opposite behavior under the influence of magnetic field and Casson fluid parameter. Pourjafar et al 35 performed a theoretical study of MHD flow with Bingham fluid for a plane channel flow. Their results indicate that the flow kinematics under creeping flow conditions are significantly affected by the yield stress.…”

Section: Introductionmentioning

confidence: 99%

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Numerical modeling of magnetohydrodynamic non‐Newtonian flow in a cross‐slot

Periyadurai,

Pascoa,

Abdollahzadehsangroudi

et al. 2024

Polymer Engineering & Sci

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This study numerically investigates the characteristics of a non‐Newtonian magnetohydrodynamic flow in a cross‐slot. Numerical simulations are performed using power law, Bird–Carreau and Casson non‐Newtonian fluid models. The flow characteristics and shear viscosity behavior in the flow region are analyzed for different values of magnetic field. Additionally, the dynamic behavior of the bifurcated flow in the cross‐slot is studied in detail, and the computational results are compared with existing models. It is shown that the fluid velocity is reduced in both the inlet and outlet channels of the cross‐slot due to the magnetic field, regardless of the viscosity model. Moreover, it is found that the fluid viscosity increases along the centerline of the inlet channels and decreases in the outlet channels of the cross‐slot for all non‐Newtonian fluid models tested here. Furthermore, this study shows that the flow properties of the non‐Newtonian fluids can be controlled by changing the magnetic field strength. The results of this study will be useful for analyzing the flow behavior of blood in a microfluidic cross‐slot and other rheological fluids used in biochemical engineering and industrial processes, where higher mass transfer and mixing efficiency can be achieved by imposing an external magnetic field.Highlights Simulation of non‐Newtonian magnetohydrodynamic flow in a cross‐slot is conducted. Analysis of the flow and shear viscosity behavior for different Hartman number is performed. Flow properties were successfully controlled with the imposed external magnetic field.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Numerical modeling of magnetohydrodynamic non‐Newtonian flow in a cross‐slot

Periyadurai,

Pascoa,

Abdollahzadehsangroudi

et al. 2024

Polymer Engineering & Sci

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“…Remark 3. We underline that the conditions on B and λ are only necessary if it is essential that there exists C 0 solution of (21), or (33), or (42) satisfying the restrictions (17), or (27), or (39a), respectively.…”

Section: Casementioning

confidence: 99%

“…Such a magnetic field generates the Lorentz forces that influence the motion as in the well-known Hartmann flow. We notice that literature in this area of research is poor ( [1,[16][17][18]), and in most cases, the induced magnetic field is not taken into account.…”

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic Flow of a Bingham Fluid in a Vertical Channel: Mixed Convection

Borrelli

Giantesio

Patria

2021

Fluids

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In this paper, we describe our study of the mixed convection of a Boussinesquian Bingham fluid in a vertical channel in the absence and presence of an external uniform magnetic field normal to the walls. The velocity, the induced magnetic field, and the temperature are analytically obtained. A detailed analysis is conducted to determine the plug regions in relation to the values of the Bingham number, the buoyancy parameter, and the Hartmann number. In particular, the velocity decreases as the Bingham number increases. Detailed considerations are drawn for the occurrence of the reverse flow phenomenon. Moreover, a selected set of diagrams illustrating the influence of various parameters involved in the problem is presented and discussed.

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“…The work reports that the flow behavior index has a strong effect on the volumetric flow rate in the MHD micropump. Pourjafar et al [24] conduct a numerical investigation of an MHD micropump wherein the test fluid is assumed to be viscoplastic obeying the Papanastasiou-Bingham rheological model. Their results suggest that a the yield stress of a fluid can dramatically affect the flow kinematics in MHD pumps, even under creep conditions.…”

Section: Introductionmentioning

confidence: 99%

Viscous micropump of immiscible fluids using magnetohydrodynamic effects and a power-law conducting fluid

Lopez¹,

Roblero²,

Colin³

et al. 2021

Rev. Mex. Fís.

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Small-scale fluid transport methods have grown significantly in recent years, mainly in applications in microfluidic systems. Therefore, the present study analyzes the movement of two-layers of immiscible fluids within a parallel flat plates microchannel. The fluid layers are composed of a Newtonian fluid and a power-law fluid. The pumping is produced by magnetohydrodynamics effects that act on the non-Newtonian conducting fluid dragging the non-conducting Newtonian fluid by viscous forces. Under the consideration of a laminar, incompressible, and unidirectional flow, the dimensionless mathematical model is established by the momentum equations for each fluid, together with the corresponding boundary conditions at solid-liquid and liquid-liquid interfaces. The problem formulation is semi-analytically solved using the Newton-Raphson method. The results are presented as a function of the velocity profiles and flow rate, showing interesting behaviors that depend on the physical and electrical properties of each fluid and flow conditions via the dimensionless parameters such as the flow behavior index, a magnetic parameter related to Lorenz forces, the fluids viscosity ratios and the dimensionless liquid-liquid interface position. This work contributes to the understanding of the various immiscible non-conducting fluids pumping techniques that can be used in microdevices.

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Magnetohydrodynamic flow of Bingham fluids in a plane channel: A theoretical study

Cited by 7 publications

References 27 publications

Numerical modeling of magnetohydrodynamic non‐Newtonian flow in a cross‐slot

Numerical modeling of magnetohydrodynamic non‐Newtonian flow in a cross‐slot

Magnetohydrodynamic Flow of a Bingham Fluid in a Vertical Channel: Mixed Convection

Viscous micropump of immiscible fluids using magnetohydrodynamic effects and a power-law conducting fluid

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