Effect of magnetic field and hydrodynamic slippage on electro-osmotic Brinkman flow through patterned zeta potential microchannel

Chhabra, Vishal; Nishad, Chandra Shekhar; Sahni, Manoj; Chaurasiya, Vineet Kumar

doi:10.1007/s10665-024-10391-x

J Eng Math

2024

DOI: 10.1007/s10665-024-10391-x

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Effect of magnetic field and hydrodynamic slippage on electro-osmotic Brinkman flow through patterned zeta potential microchannel

Vishal Chhabra,

Chandra Shekhar Nishad,

Manoj Sahni

et al.

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2024

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Boundary Element Method for Viscous Flow through Out-phase Slip-patterned Microchannel under the Influence of Inclined Magnetic Field

Chhabra,

Nishad,

Sahni

2024

Chemical Product and Process Modeling

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In this paper, we investigate the impact of an inclined magnetic field of uniform intensity on viscous, incompressible pressure-driven Stokes flow through a slip-patterned, rectangular microchannel using the boundary element method based on the stream function-vorticity variables approach. The present investigation focuses only on the out-phase slip patterning of the microchannel walls. We address two scenarios of slip patterning, specifically large and fine slip patterning, which are determined by the periodicity of the patterning. We utilized the no-slip and Navier’s slip boundary conditions in an alternative manner on the walls. The Stokes equations govern the viscous flow through a microchannel. We assume a very small magnetic Reynold’s number to eliminate the equation of induced magnetic field in the present study. We analyzed the impact of considered dimensionless hydrodynamic parameters, including the Hartman number (Ha), inclination angle (θ) of the magnetic field, and the slip length (ls ) on fluid dynamics. In the case of fine slip, we observed significant variations in both velocity and pressure gradient, in contrast to large slip patterning. Fine slip patterning significantly increases the shear stress at slip regimes, while large slip periodicity significantly reduces it at no-slip regimes. The present investigation has several notable implications, such as regulation and advancement of mixing and heat transmission within microfluidic systems.

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Boundary Element Method for Viscous Flow through Out-phase Slip-patterned Microchannel under the Influence of Inclined Magnetic Field

Chhabra,

Nishad,

Sahni

2024

Chemical Product and Process Modeling

View full text Add to dashboard Cite

show abstract

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Effect of magnetic field and hydrodynamic slippage on electro-osmotic Brinkman flow through patterned zeta potential microchannel

Cited by 1 publication

References 53 publications

Boundary Element Method for Viscous Flow through Out-phase Slip-patterned Microchannel under the Influence of Inclined Magnetic Field

Boundary Element Method for Viscous Flow through Out-phase Slip-patterned Microchannel under the Influence of Inclined Magnetic Field

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