Analysis of two immiscible Newtonian and micropolar fluid flow through an inclined porous channel

Yadav, Pramod Kumar; Verma, Amit Kumar

doi:10.1002/mma.7884

Cited by 14 publications

(7 citation statements)

References 46 publications

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“…By implanting the dimensionless quantities in the momentum equations ( 9) and (10) and electrokinetic equation ( 4), the non-dimensionalities of the equations of momentum are obtained as (after dropping *):…”

Section: Analytical Solution For the Described Modelmentioning

confidence: 99%

Electroosmotic effect on two immiscible (conducting–non-conducting) fluids flowing in the porous channel under magnetic field

Ponalagusamy

2022

Proceedings of the Institution of Mechanical Engineers, Part E:

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In this article, we investigate the motion of two-phase immiscible fluids in the channel with the porous medium in the presence of a magnetic field. Depending on the different levels of permeability, the channel is classified into two regions. The lower region (region-I) consists of non-conducting modified Casson fluid and the upper region (region-II) consist of conducting Newtonian fluid. The external electric field is applied in the region-II and the electroosmotic effect is produced at the wall and the interface region. Due to the interfacial effect, the non-conducting fluid was driven by conducting fluid. To compute the flow dynamic and electric potential nature, the momentum equation and Poisson–Boltzmann equation have been solved analytically in the state of periodic vibrations. The impact of physiological parameters such as Debye–Hückel parameter, electric field, magnetic field, Darcy numbers, viscosity ratio, Casson parameter and Womersley number has been investigated and the various behaviours were characterised. Based on numerical computations performed on the aforementioned parameters, we found that the Casson parameter, Darcy numbers and electric double layer (EDL) effects are predominant features. In the velocity profiles, we identified the flow of the fluid was enhanced by the augmented values of Darcy numbers, electric field (wall zeta potential), Debye–Hückel parameter and Casson parameter. The retardation flow occurred for the higher values of the magnetic field, viscosity ratio and electric field (interface zeta potential). Based on the conditional cases, the Womersley number possesses inconsistent behaviour. The depletion nature was found in the percentage flow rate of the Casson parameter. By increasing the value of the electric field and Casson parameter, the magnitude of wall shear stress to Darcy number increases and decreases for higher values of the magnetic field, viscosity ratio and pulsatile Reynolds number. It is first noticed that for any value of M1 and M2, Darcy number (Da2) plays a dual role in the upper wall shear stress. The present study leads to the pumping effect of gas pipelines or designing the microfluidic devices which are manipulated in biosensors/biochips.

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Section: Analytical Solution For the Described Modelmentioning

confidence: 99%

Electroosmotic effect on two immiscible (conducting–non-conducting) fluids flowing in the porous channel under magnetic field

Ponalagusamy

2022

Proceedings of the Institution of Mechanical Engineers, Part E:

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“…Te behavior of immiscible fuids infuenced by the properties of its components, such as their Newtonian and/ or non-Newtonian characteristics, viscosity, density, size, shape, the fow rate of the components, and the geometry of the system. In immiscible fuid fow, scholars study the nature of the interactions between the fuids, the fow patterns, and the way in which the fuids are distributed by considering Newtonian fuid and Newtonian fuid [7,[12][13][14], Newtonian fuid and Non-Newtonian fuid [15][16][17][18][19][20][21], and Non-Newtonian and Non-Newtonian fuids [18,[22][23][24] in diferent fow geometers; they concluded the second immiscible fuid has an efect on the fow properties of other fuid and very few of these studies have been conducted analytically.…”

Section: Introductionmentioning

confidence: 99%

Hydromagnetic Flow of Two Immiscible Couple Stress Fluids in an Inclined Porous Channel: Effects of Slip Boundary

Bitla

Sitotaw

2023

Mathematical Problems in Engineering

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In this study, we investigated the effects of slip boundary and magnetic field on the flow of two immiscible couple stress fluids in an inclined porous media channel. The Stokes model was used to define the two couple stress fluids. The fluids in both the regions are assumed to be incompressible and immiscible and the transport properties in the two regions are assumed to be constant. The governing coupled linear ordinary differential equations are made dimensionless by using appropriate fundamental quantities. The expressions for the velocity components in both the regions are obtained in closed form using the undetermined coefficient method; by applying slip boundary condition at the boundary of the channel and at fluid-fluid interface, the continuity of velocities, vorticities, shear stresses, and couple stresses are applied. The effects of the nondimensional parameters including the couple stress parameters, slip parameter, Hartmann number, Darcy number, and the ratio of basic fluid properties on the velocity components are presented graphically; the flow rate and shear stress are presented in table and discussed briefly. It is reported that the presence of couple stresses and magnetic field have a declining impact while slip boundary has an enhancement impact on the fluid velocity and the volumetric flow rate. In the absence of couple stress, the results for the liming case as s ⟶ ∞ η ⟶ 0 for Newtonian flow are achieved and further limiting cases are established and briefly addressed.

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“…Yadav et al [33][34][35][36][37] presented numerous problem for the flow of non-miscible fluids which passes through channel and examined the effect of various fluid parameters on the flow characteristics.…”

Section: Introductionmentioning

confidence: 99%

Analysis of two non‐miscible electrically conducting micropolar fluid flow through an inclined porous channel: Influence of magnetic field

Yadav

Verma

2022

Z Angew Math Mech

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Funding information Ministry of Human Resource DevelopmentThis work aims to analyse the flow of immiscible micropolar fluid through an inclined porous channel in presence of uniform magnetic field. The flow model have divided in two different porous regions and permeability of each porous region is taken different. The two immiscible electrically conducting micropolar fluids which have different densities and viscosities, take place through these two porous regions. The flow in an inclined porous channel is caused by a constant pressure gradient which acts on entrance section of flow domain. The flow of the micropolar fluids in the respective regions is governed by Brinkman's equation.The governing flow equations of the proposed model are solved analytically by reliable techniques and exact solution of flow field, flow rate and wall shear stress is evaluated by using well-known boundary conditions. In this work, authors examined the influence of existing parameters such as permeability parameters, Hartmann number, gravitational parameter, viscosity ratio and so forth, which describes the physical significance of the presented model, on velocity profile, flow rate and wall shear stresses and these effect presented by graphs. The results are validated with the findings of past published article.

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Analysis of two immiscible Newtonian and micropolar fluid flow through an inclined porous channel

Cited by 14 publications

References 46 publications

Electroosmotic effect on two immiscible (conducting–non-conducting) fluids flowing in the porous channel under magnetic field

Electroosmotic effect on two immiscible (conducting–non-conducting) fluids flowing in the porous channel under magnetic field

Hydromagnetic Flow of Two Immiscible Couple Stress Fluids in an Inclined Porous Channel: Effects of Slip Boundary

Analysis of two non‐miscible electrically conducting micropolar fluid flow through an inclined porous channel: Influence of magnetic field

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