Absolute and convective instabilities in double-diffusive two-fluid flow in a slippery channel

Ghosh, Sukhendu; Usha, R.; Sahu, Kirti Chandra

doi:10.1016/j.ces.2015.04.049

Cited by 13 publications

(7 citation statements)

References 46 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These three-dimensional instabilities were not reported in former studies 21,22,24 seemingly because the instability was only studied for 2-D modes and as a result, the suppression of the instability by streamwise slip was overestimated. Nevertheless, 3-D leading instabilities and the dual effect of the slip were observed in multi-fluid channel flows with slip boundary condition 9,[23][24][25]33 .…”

Section: Discussionmentioning

confidence: 99%

“…Though could be questionable for turbulent flows 14 , a homogeneous effective slip length in combination with the Navier slip boundary condition has been shown to apply to various flow problems 8,14,18,19 . Based on this simplified boundary condition, linear stability analysis of many flows has been carried out 9,[20][21][22][23][24][25][26][27] . Among these studies, some were dedicated to investigations of linear instability of single phase channel flow 18,[20][21][22]28 .…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Stability of slip channel flow revisited

Chai,

Song

2019

Preprint

View full text Add to dashboard Cite

In this work, we revisit the temporal stability of slip channel flow. Lauga & Cossu (Phys. Fluids 17, 088106 (2005)) and Min & Kim (Phys. Fluids 17, 108106 (2005)) have investigated both modal stability and non-normality of slip channel flow and concluded that the velocity slip greatly suppresses linear instability and only modestly affects the nonnormality. Here we study the stability of channel flow with streamwise and spanwise slip separately as two limiting cases of anisotropic slip and explore a broader range of slip length than previous studies did. We find that, with sufficiently large slip, both streamwise and spanwise slip trigger three-dimensional leading instabilities. Overall, the critical Reynolds number is only slightly increased by streamwise slip, whereas it can be greatly decreased by spanwise slip. Streamwise slip suppresses the non-modal transient growth, whereas spanwise slip enlarges the non-modal growth although it does not affect the base flow. Interestingly, as the spanwise slip length increases, the optimal perturbations exhibit flow structures different from the well-known streamwise rolls. However, in the presence of equal slip in both directions, the three-dimensional leading instabilities disappear and the flow is greatly stabilized. The results suggest that earlier instability and larger transient growth can be triggered by introducing anisotropy in the velocity slip.

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Stability of slip channel flow revisited

Chai,

Song

2019

Preprint

View full text Add to dashboard Cite

show abstract

“…Ghasemian et al [15] investigated forced displacement heat transfer on magnetite and numerically compared them with the presence of fluid under constant and alternating fields. Analysis of the flow of two fluids with the same density and varying viscosity in a horizontal channel and an unsteady state was recorded by Ghosh et al [16]. According to this study, when the viscous fluid is near the channel, it is unstable for many parameters.…”

Section: Introductionmentioning

confidence: 99%

Numerical Study and Comparison of Two-dimensional Ferrofluid Flow in Semi-porous Channel under Magnetic Field

Jalili,

Afifi,

Jalili

et al. 2023

IJE

View full text Add to dashboard Cite

In this article, the equations governing the constant ferromagnetic current are investigated. The Lorentz force restrains this ferrofluid flow in a semi-porous valve. Analyzes were performed on three sub-particle fluids: kerosene and blood, water and magnetite. Modeling in the Cartesian coordinate system using the relevant equations was investigated. A slight thinning should be considered in the lower part of this channel. This research has used two Akbari-Ganji methods (AGM) and finite element method (FEM) to solve the equations. Nonlinear differential equations are solved using the above two methods. In the finite element model, the effect of changing the Hartmann number and the Reynolds number on the flow velocity and the derivatives of the velocity and shear stress of the fluid were investigated. As the Hartmann number increases, the velocity decreases in both directions. The Reynolds number changes in different slip parameters, which shows the opposite behavior for the two directions. Also, the insignificant effect of volume fraction of nanoparticles on velocity and its derivatives and shear stress was investigated. The results of solving the equations with the above two methods were compared with HAM. The results obtained using AGM and FEM and their comparison with previous researches have led to complete agreement, which shows the efficiency of the techniques used in this research.

show abstract

“…Ghosh et al 17 have studied the linear stability analysis of a miscible two‐fluid flow in a channel with velocity slip boundary conditions at the walls. However, Ghosh et al 18 have made the investigations of absolute and convective instabilities in a double‐diffusive two‐fluid flow in a slippery channel, and Chattopadhyay et al 19 discussed the linear stability analysis of a core‐annular, miscible two‐fluid flow in a slippery pipe. Later, Chattopadhyay et al 20 made the spatiotemporal stability analysis of two superposed fluids in a channel with slip boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

MHD instability of the pressure‐driven plane laminar flow in the presence of the uniform coplanar magnetic field: Linear stability analysis

Basavaraj¹,

Aruna²,

Kumar³

et al. 2021

Heat Trans

View full text Add to dashboard Cite

The influence of the uniform longitudinal magnetic field on the stability against small disturbances of an electrically conducting Newtonian fluid flow between two parallel horizontal plates is investigated. The sixth‐order system of disturbance equations is solved by the Chebyshev collocation method, and the critical Reynolds number R e c , the critical wave number α c , and the critical wave speed c c are computed for a wide range of the magnetic Reynolds number R m and Alfven number A. Curves of wave number against Reynolds number for neutral stability are presented for different values of the parameters. The onset of instability is also discussed in detail using the growth rate curves for various parameters of the problem. It is observed that the effect of both conductivity of the fluid and the strength of the magnetic field is to decay the onset of instability. A comprehensive study is carried out at the critical state of the fluid using the graph of R e c , α c , and c c with respect to R m for various values of A. The critical values at the onset of instability are also presented for both the Galerkin method and the Chebyshev collocation method.

show abstract

Absolute and convective instabilities in double-diffusive two-fluid flow in a slippery channel

Cited by 13 publications

References 46 publications

Stability of slip channel flow revisited

Stability of slip channel flow revisited

Numerical Study and Comparison of Two-dimensional Ferrofluid Flow in Semi-porous Channel under Magnetic Field

MHD instability of the pressure‐driven plane laminar flow in the presence of the uniform coplanar magnetic field: Linear stability analysis

Contact Info

Product

Resources

About