Stability of two superposed viscoelastic fluid‐particle mixtures

Kumar, Pardeep; Mohan, Hari; Singh, Gurnam

doi:10.1002/zamm.200310222

Cited by 6 publications

(4 citation statements)

References 13 publications

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“…In the presence of "effective interfacial tension" in accordance with (18), there will be stability if i.e.…”

Section: Case Ii: In the Presence Of Effective Interfacial Tensionmentioning

confidence: 99%

“…Kumar [17], considered the thermal instability of a layer of a Walters B′ viscoelastic fluid acted on by a uniform rotation and found that for stationary convection, rotation has a stabilizing effect. Kumar, et al [18], considered the stability of the plane interface separating two Walters B′ viscoelastic superposed fluids of uniform densities in the presence of suspended particles. The medium was non-porous in all the above studies.…”

Section: Introductionmentioning

confidence: 99%

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2020

SJSR

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The instability of the plane interface between two uniform, superposed and streaming Walters′ B′ viscoelastic fluids through porous medium in the presence of effective interfacial tension is considered. The case of two uniform streaming fluids separated by a horizontal boundary is studied. It is observed, for the special case where the effective interfacial tension is ignored, that the system is stable or unstable for the potentially stable configuration which is in contrast to the case of Rivlin-Ericksen viscoelastic fluid or Newtonian fluid where the system is always stable for the potentially stable configuration. Moreover, if the perturbations in the direction of streaming are ignored, then the perturbations transverse to the direction of streaming are found to be unaffected by the presence of streaming, whereas for perturbations in all other directions there exists instability for a certain wave number range. "Effective interfacial tension" is able to suppress this Kelvin-Helmholtz instability for small wavelength perturbations, the medium porosity reduces the stability range given in terms of a difference in streaming velocities.

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“…In the presence of "effective interfacial tension" in accordance with (18), there will be stability if i.e.…”

Section: Case Ii: In the Presence Of Effective Interfacial Tensionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Untitled

2020

SJSR

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“…Kumar 6 investigated the impact of rotational forces on the thermal instability of Walter’s B fluid, while Sharma et al 7 scrutinized the stratified Walter’s B fluid within a porous medium, in conjunction with the interplay between rotation and magnetic field. Furthermore, the suspended particle effect on the stability of superimposed Walter’s B fluid was expatiated upon by Kumar et al, 8 whereas Kumar and Lal 9 researched the RayleighTaylor (R-T) instability at the interface between Newtonian and Walter’s B fluid.…”

Section: Introductionmentioning

confidence: 99%

Impact of swirling on capillary instability of Walter’s B viscoelastic fluid-viscous fluid interface with heat and mass transfer

Srija,

Singh,

Awasthi

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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The multifaceted applications of swirling interfaces featuring heat and mass transfer extend across diverse industries, encompassing energy, manufacturing, healthcare, and environmental protection. The present study is concerned with examining the swirling impact on the capillary instability occurring at the interface between a Walter’s B viscoelastic fluid and a viscous fluid, under the influence of heat and mass transfer. The setup consists of two rigid cylinders that form an annular region filled with viscous fluid on the inner side and Walter’s B viscoelastic fluid on the outer side. The outer cylinder rotates at a constant angular velocity, while the inner cylinder remains stationary. The study employs the Walter’s B viscoelastic model, which conforms to the potential flow theory for viscoelastic fluids. The proposed flow theory disregards tangential stresses and balances the difference in normal viscous stresses with the surface force at the free boundary. The perturbed equations yield a quadratic equation in growth rate, which is numerically analyzed. The results show that heat and mass transfer enhance the interface’s stability and swirling makes it more stable. Moreover, it is noteworthy that the Weber number exerts a stabilizing influence on the interface, while the density ratio also plays a role in promoting its stability. The centrifuge number exhibits a counteractive effect by impeding interface growth, thus contributing to its stabilization.

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“…Kumar (2001) considered the thermal instability of a layer of a Walters B' viscoelastic fluid acted on by a uniform rotation and found that for stationary convection, rotation has a stabilizing effect. Kumar et al (2006) considered the stability of plane interface separating the Walters B' viscoelastic superposed fluids of uniform densities in the presence of suspended particles.…”

Section: Introductionmentioning

confidence: 99%

Thermosolutal Instability in Compressible Viscoelastic Dusty Fluid through Porous Medium

Kumar¹,

Mohan²

2013

International Journal of Applied Mechanics and Engineering

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Thermosolutal instability in a compressible Walters B' viscoelastic fluid with suspended particles through a porous medium is considered. Following the linearized stability theory and normal mode analysis, the dispersion relation is obtained. For stationary convection, the Walters B' viscoelastic fluid behaves like a Newtonian fluid and it is found that suspended particles and medium permeability have a destabilizing effect whereas the stable solute gradient and compressibility have a stabilizing effect on the system. Graphs have been plotted by giving numerical values to the parameters to depict the stability characteristics. The stable solute gradient and viscoelasticity are found to introduce oscillatory modes in the system which are non-existent in their absence.

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Stability of two superposed viscoelastic fluid‐particle mixtures

Cited by 6 publications

References 13 publications

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Impact of swirling on capillary instability of Walter’s B viscoelastic fluid-viscous fluid interface with heat and mass transfer

Thermosolutal Instability in Compressible Viscoelastic Dusty Fluid through Porous Medium

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