The Viscous-Gravity Jet in Stagnation Flow

Cruickshank, J. O.; Munson, B. R.

doi:10.1115/1.3241851

Cited by 16 publications

(16 citation statements)

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“…This behaviour is characteristic of all sufficiently short plumes with small Reynolds numbers. The variations cf diameter with height for these stable plumes in air are consistent with those calculated by Cruickshank & Munson (1982b), excepting in the region close to the surface of the pool of fluid. As the height of the nozzle is gradually increased, a critical height H, is reached at which the plume becomes unstable to a spiral oscillation involving the whole length of the plume between the orifice and the surface (Fig.…”

Section: Axisymmetric Plumessupporting

confidence: 85%

Folding of Viscous Plumes Impinging On A Density Or Viscosity Interface

Griffiths

Turner

1988

Geophysical Journal International

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S U M M A R YThe possibility that slabs of subducted oceanic lithosphere may buckle and fold under longitudinal compressive stresses when they encounter the major seismic discontinuity near a depth of 670 km in the mantle has led us to explore experimentally the behaviour of very viscous plumes falling onto a density interface or a viscosity step. We begin with the case of axisymmetric and planar streams falling through air onto the free surface of a viscous fluid which has the same or smaller density, and observe the conditions under which they coil or fold. In order to remove surface tension and to introduce effects of a viscous environment we study plumes falling onto a density interface between two (generally very viscous) liquid layers. Stability to buckling is found to depend largely on a geometrical criterion based on the length to thickness ratio of plumes, but also the tendency to buckle is greater for large density differences across the interface and larger viscosity contrasts between plume and upper layer.When plumes are unstable, coils or folds are laid down with a horizontal scale in a fixed proportion to the thickness of the plume, and the frequency of folding is determined by the velocity and thickness of the slab as it enters the region of compressive stress. Entrainment of upper layer fluid can have a marked effect on the fate of the folded plume material, which may spread at the interface or continue to descend into the lower layer. Similar behaviour is observed at a viscosity interface. Application of results to the mantle depends on the nature of the 670 km discontinuity and is therefore inconclusive. However, cool slabs are likely to be unstable if mantle circulation involves two layers separated by a density interface or if whole-mantle circulation involves a large viscosity increase with depth near 700 km.

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Section: Axisymmetric Plumessupporting

confidence: 85%

Folding of Viscous Plumes Impinging On A Density Or Viscosity Interface

Griffiths

Turner

1988

Geophysical Journal International

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“…Fig. 17 displays a comparison, using the three flow rates above, between the theoretical/experimental data in [58] and the numerical solutions. It can be seen that the numerical results obtained with the ADBQUICKEST scheme are in general agreement with the theoretical and experimental data.…”

Section: Axisymmetric Vertical Jet In a Creeping Flow Regimementioning

confidence: 95%

“…A descending vertical axisymmetric jet of radius a 0 and (uniform) speed U 0 has a constant flow rate Q = πU 0 a 0 2 = ηRea 0 ; it impacts on a rigid horizontal plate from an inflow-to-plate distance of 0.03 m. Both theoretical and experimental data exist (see Cruickshank and Munson [58]) for this problem: the radius of the jet is known as a function of the independent variable x (here interpreted as radial coordinate r).…”

Section: Axisymmetric Vertical Jet In a Creeping Flow Regimementioning

confidence: 97%

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Application of a bounded upwinding scheme to complex fluid dynamics problems

Ferreira

Kaibara

Lima

et al. 2013

Mathematical and Computer Modelling

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This paper is concerned with an overview of upwinding schemes, and further nonlinear applications of a recently introduced high resolution upwind differencing scheme, namely the ADBQUICKEST [V.G. Ferreira, F.A. Kurokawa, R.A.B. Queiroz, M.K. Kaibara, C.M. Oishi, J.A. Cuminato, A.F. Castelo, M.F. Tomé, S. McKee, assessment of a high-order finite difference upwind scheme for the simulation of convection–diffusion problems, International Journal for Numerical Methods in Fluids 60 (2009) 1–26]. The ADBQUICKEST scheme is a new TVD version of the QUICKEST [B.P. Leonard, A stable and accurate convective modeling procedure based on quadratic upstream interpolation, Computer Methods in Applied Mechanics and Engineering 19 (1979) 59–98] for solving nonlinear balance laws. The scheme is based on the concept of NV and TVD formalisms and satisfies a convective boundedness criterion. The accuracy of the scheme is compared with other popularly used convective upwinding schemes (see, for example, Roe (1985) [19], Van Leer (1974) [18] and Arora & Roe (1997) [17]) for solving nonlinear conservation laws (for example, Buckley–Leverett, shallow water and Euler equations). The ADBQUICKEST scheme is then used to solve six types of fluid flow problems of increasing complexity: namely, 2D aerosol filtration by fibrous filters; axisymmetric flow in a tubular membrane; 2D two-phase flow in a fluidized bed; 2D compressible Orszag–Tang MHD vortex; axisymmetric jet onto a flat surface at low Reynolds number and full 3D incompressible flows involving moving free surfaces. The numerical simulations indicate that this convective upwinding scheme is a good generic alternative for solving complex fluid dynamics problems

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“…For example, viscous jets of honey and shampoo fold like elastic ropes when they are dripped onto a surface. The compressive stress along the axial direction [3,[11][12][13][14][15][16][17][18][19][20][21], resulting from jet deceleration (for instance, when the jet hits a plate [3,9,11,12,17,18,22,23]or enters a diverging channel [24][25][26]), is the driving force of folding. The folding of a viscous jet can be characterized by the folding frequency and amplitude, which are influenced by the diameter, velocity, and kinematic viscosity of the jet [3,11,12,18,20,[23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Suppressing the Folding of Flowing Viscous Jets Using an Electric Field

et al. 2015

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In this work, we study the folding and unfolding of flowing viscous jets by imposing an electric field. We demonstrate that a folded viscous jet can be induced to unfold through jet widening in a sufficiently strong electric field. The folded jets unfold above a critical slenderness, which increases as the jet capillary number increases. Our systematic elucidation of the mechanisms behind the controlled folding has important implications on processes such as nozzle designs for industrial applications that rely on the manipulation of high-speed viscous jets, including liquid dispensing, printing, and food processing.

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The Viscous-Gravity Jet in Stagnation Flow

Cited by 16 publications

References 0 publications

Folding of Viscous Plumes Impinging On A Density Or Viscosity Interface

Folding of Viscous Plumes Impinging On A Density Or Viscosity Interface

Application of a bounded upwinding scheme to complex fluid dynamics problems

Suppressing the Folding of Flowing Viscous Jets Using an Electric Field

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