Effect of rotation on stability of advective flow in horizontal liquid layer with a free upper boundary

Shvarts, K. G.; Boudlal, Abdelaziz

doi:10.1088/1742-6596/216/1/012005

Cited by 11 publications

(6 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As the Taylor number is further increased, both velocity components will finally decrease. Such a behavior was already 093902-5 observed in rotating flows by Shvarts and Boudlal [26] and Mehdizadeh and Oberlack [30], for example.…”

Section: B Basic Flow Profilesmentioning

confidence: 56%

“…Aristov and Frik [24] considered the effect of rotation on large-scale turbulence in a thin rotating fluid layer with a horizontal temperature gradient. Shvarts and Boudlal [25][26][27] carried out several stability studies in which the effect of rotation was examined. These studies investigated the effect of rotation on the stability of the advective flow and the behavior of finite-amplitude perturbations beyond the instability threshold for layers with solid boundaries [25] and with a free upper boundary [26] and finally in the case of thermocapillary convection for layers with two free boundaries in zero gravity.…”

Section: Introductionmentioning

confidence: 99%

“…Shvarts and Boudlal [25][26][27] carried out several stability studies in which the effect of rotation was examined. These studies investigated the effect of rotation on the stability of the advective flow and the behavior of finite-amplitude perturbations beyond the instability threshold for layers with solid boundaries [25] and with a free upper boundary [26] and finally in the case of thermocapillary convection for layers with two free boundaries in zero gravity. Furthermore, Chikulaev and Shvarts [28] studied the effect of rotation on the stability of the horizontally heated fluid layer with solid boundaries at small Prandtl numbers (typical values for liquid metals) and Knutova and Shvarts [29] examined the effect of rotation on the thermocapillary flow under microgravity conditions.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Effect of rotation on the stability of side-heated buoyant convection between infinite horizontal walls

Medelfef¹,

Henry²,

Bouabdallah³

et al. 2017

Phys. Rev. Fluids

View full text Add to dashboard Cite

This paper deals with buoyant convection generated by a horizontal gradient of temperature in an infinite fluid layer, which is known as Hadley circulation, and studies the effects induced by applying a rotation around the vertical axis. First, the basic flow profile with rotation is derived and the influence of the rotation is depicted: The original longitudinal velocity profile is decreased in intensity when rotation is applied and its structure is progressively changed, whereas a transverse velocity component is created, which increases with the rotation intensity, overcomes the longitudinal velocity, and eventually decreases. Different asymptotic behaviors for these profiles have also been highlighted. The stability of these flows is then studied. The effects of the Prandtl number, the Taylor number, and the thermal boundary conditions are highlighted for the three types of instability occurring in such a situation (shear, oscillatory, and Rayleigh instabilities). It is observed that they are all stabilized by the rotation and that the increase of the critical thresholds is accompanied by a spinning of the wave vector corresponding to a progressive change of the orientation of the marginal perturbation rolls. Energy budgets are finally used to analyze the instability mechanisms.

show abstract

Section: B Basic Flow Profilesmentioning

confidence: 56%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Effect of rotation on the stability of side-heated buoyant convection between infinite horizontal walls

Medelfef¹,

Henry²,

Bouabdallah³

et al. 2017

Phys. Rev. Fluids

View full text Add to dashboard Cite

show abstract

“…The presence of buoyancy forces convection along a flat plate causes a coupling between the momentum and energy equations and, at the same time, causes the boundary layer to become non-similar [2,3,9,10,13].…”

Section: Introductionmentioning

confidence: 99%

Mathematical Model for the Effect of Buoyancy Forces on the Stability of a Fluid Flow

Aziz¹

2023

Eur. J. Pure Appl. Math.

View full text Add to dashboard Cite

Stability analysis of heat transfer (by Conduction, Convection, and Radiation) has been found for a model of flow between two horizontal plates, one of them is thermally insulated. The stability measure through the neutral curve for this model shows that an increase of the buoyancy represented by Gershoff number (Gr) leads to an increase in stability region, especially for the considerable value of Reynolds number R. The results indicated that the effects of buoyancy forces have significant contribution to the field profiles

show abstract

“…With a growth of the Taylor number (T a) the vortices are localized near the horizontal boundaries. The results of research on the advective flow stability in a rotating liquid layer with a free upper boundary are presented in Shvarts and Boudlal (2010). It was shown that at a small Prandtl number Pr = 0.1 (Schwarz 2005), for small Taylor numbers the critical Grashof number decreases, viz the stability of advective flow is lowered, whereas for T a 550 the rotation begins to stabilize the flow.…”

Section: Introductionmentioning

confidence: 99%

Influence of slow rotation on the stability of a thermocapillary incompressible liquid flow in an infinite layer under zero-gravity conditions for small Prandtl number

Shvarts

2012

Fluid Dyn. Res.

View full text Add to dashboard Cite

Instability of a thermocapillary flow arising in a rotating thin infinite liquid layer under zero-gravity conditions is investigated. Both boundaries of the layer are assumed to be plane and free and are subject to the tangential thermocapillary Marangoni force. A convective heat transfer at the boundaries is governed by Newton's law and the temperature of the fluid near the boundaries is a linear function of the coordinates. The axis of rotation is perpendicular to a liquid layer. The rotation is slow, which allows us to neglect the centrifugal force. The examined thermocapillary flow is described analytically, being an exact solution of the Navier-Stokes equations. According to the linear theory of stability the obtained neutral curves depict the dependence of the critical Marangoni number on the wave number at different values of the Taylor number for the small Prandtl number (Pr = 0.1). The behavior of the finite-amplitude perturbations beyond the stability threshold is studied numerically.

show abstract

Effect of rotation on stability of advective flow in horizontal liquid layer with a free upper boundary

Cited by 11 publications

References 6 publications

Effect of rotation on the stability of side-heated buoyant convection between infinite horizontal walls

Effect of rotation on the stability of side-heated buoyant convection between infinite horizontal walls

Mathematical Model for the Effect of Buoyancy Forces on the Stability of a Fluid Flow

Influence of slow rotation on the stability of a thermocapillary incompressible liquid flow in an infinite layer under zero-gravity conditions for small Prandtl number

Contact Info

Product

Resources

About