Effects of Velocity Slip on MHD Flow of a Non-Newtonian Fluid in Converging and Diverging Channels

Khan, Umar; Sikandar, Waseem; Ahmed, Naveed; Mohyud‐Din, Syed Tauseef

doi:10.1007/s40819-015-0071-5

Cited by 11 publications

(3 citation statements)

References 31 publications

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“…This is because the slip parameter gets some past of the fluid which makes the velocity to increase near the boundaries. This is in good agreement with Umar Khan et al [16]. Also we note that no significant change in the velocity of the fluid at the central region of the channel.…”

Section: Resultssupporting

confidence: 93%

“…This back flow can be controlled by inducing a strong magnetic field. This is in good agreement with Umar Khan et al [16]. Also it is noted that an increase in M, the fluid phase velocity retards in the right half of the channel for Re= 0.3,0.5,0.7.…”

Section: Resultssupporting

confidence: 91%

“…Khan et al [15] studied the effects of velocity as well as temperature slips in convergent and divergent channels with heat transfer and conveyed that the velocity slip parameter will separate the flow near the boundary. Umar Khan et al [16] investigated velocity slip effects on MHD flow through non parallel walls and they have taken Casson fluid into account and they inferred that in the case of diverging channel the hydro magnetic slip flow for Casson fluid can be used to stop the separation phenomenon. Recently Mallikarjuna et al [17] studied slip effects on double diffusive convective flow of casson fluid over an inclined stretching sheet using cattaneo christov heat flux model.…”

Section: Introductionmentioning

confidence: 99%

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Slip Effects on MHD Convective Two-Phaseparticulate Suspension Flow in a Divergent Channel

Ramprasad

Bhatta

Mallikarjuna³

2018

DDF

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Mathematical model has been analyzed on MHD convective two-phase flow in a divergent channel with viscous dissipation. The effects of velocity and temperature slip are considered. The relevant governing equations are non-dimensionalised with the help of appropriate transformations and then solved numerically. The present results overlooked with existing results and found in an excellent agreement. Effects of emerging parameters on the flow are discussed and demonstrated graphically. Graphical aid is also used to present the variations in skin friction and Nusselt number. It is found that an increase in velocity slip, the velocities of fluid as well as particle phases are increased. An increase in temperature slip, the temperature of fluid phase gets decreased. KEY WORDS:Particulate suspension, two-phase flow, diverging channel,Slip effects

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Section: Resultssupporting

confidence: 93%

Section: Resultssupporting

confidence: 91%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Slip Effects on MHD Convective Two-Phaseparticulate Suspension Flow in a Divergent Channel

Ramprasad

Bhatta

Mallikarjuna³

2018

DDF

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Implication of electromagnetohydrodynamic flow of a non‐Newtonian hybrid nanofluid in a converging and diverging channel with velocity slip effects: A comparative investigation using numerical and ADM approaches

Kezzar,

Nehal,

Ragupathi

et al. 2024

Z Angew Math Mech

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This study delves into the intricate interplay of magnetic and electric fields (EMHD) on the flow characteristics of a non‐Newtonian bio‐hybrid nanofluid, consisting of Ag+Graphene/blood, within converging and diverging geometries. The investigation takes into account the effects of velocity slip at the walls, offering a comprehensive examination of this complex fluid system. A novel bio‐hybrid nanofluid model was introduced, featuring a unique combination of Ag+Graphene/blood nanoparticles. To address this multifaceted problem, the research employed mathematical modeling based on nonlinear partial differential equations (PDEs), encompassing continuity and momentum equations. These PDEs were then transformed into a system of nonlinear ordinary differential equations (ODEs) through similarity transformations. The study explored both numerical and analytical solutions, with a particular focus on the application of the Adomian decomposition method (ADM). To validate the findings, the study compared the analytical results with those obtained using the HAM‐based Mathematica package and the Runge–Kutta Fehlberg 4th–5th order (RKF‐45) method in specific scenarios. Active parameters, including nanofluid volume fraction, slip factors, and the influence of magnetic and electric fields, were systematically examined to unveil their impacts on velocity and skin friction within this multifaceted nanofluid system. It is found that the skin friction coefficient decreases with the Increasing both the nanoparticle volume fraction, Hartmann number and the angle in both channels. Results obtained also reveal an in the converging section, higher Casson parameters lead to increased yield stress but are offset by the higher shear rates, resulting in a higher velocity profile. In the diverging section, the fluid resists flow due to the reduced shear stress, leading to a decreased velocity profile.

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Effective properties of binary chemical reaction with Brownian and thermophoresis on the radiative flow of nanofluid within an inclined heated channel

Sahoo,

Mishra,

Panda

2024

Colloid Polym Sci

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Effects of Velocity Slip on MHD Flow of a Non-Newtonian Fluid in Converging and Diverging Channels

Cited by 11 publications

References 31 publications

Slip Effects on MHD Convective Two-Phaseparticulate Suspension Flow in a Divergent Channel

Slip Effects on MHD Convective Two-Phaseparticulate Suspension Flow in a Divergent Channel

Implication of electromagnetohydrodynamic flow of a non‐Newtonian hybrid nanofluid in a converging and diverging channel with velocity slip effects: A comparative investigation using numerical and ADM approaches

Effective properties of binary chemical reaction with Brownian and thermophoresis on the radiative flow of nanofluid within an inclined heated channel

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