An initially well mixed granular material composed of two distinct subclasses of particles, small and large or light and heavy, segregates radially into stable lobed patterns when rotated in various quasi-two-dimensional, regular polygonal tumblers.

Chaotic mixing of granular material in a two-dimensional slowly rotating noncircular container in the absence of granular diffusivity is studied analytically and numerically as a discrete mapping. The noncircularity of a drum produces a time periodic disturbance and chaotization of the flow field.

Jun 01, 2003· Chaotic mixing of granular materials in two-dimensional tumbling mixers. Khakhar DV, McCarthy JJ, Gilchrist JF, Ottino JM Chaos, 9(1):195-205, 01 Mar 1999

Aug 12, 2010· The experiments consisted in mixing two materials with similar properties, except the color and particle size distribution, at different operating conditions in a mixing device that consisted of an open box with two moving walls and three static ones, as shown in Fig. 1.The wall motions were controlled by two step motors connected to a computer in a master–slave configuration.

Chaotic mixing of granular materials in two-dimensional tumbling mixers DV Khakhar, JJ McCarthy, JF Gilchrist, JM Ottino Chaos: An Interdisciplinary Journal of Nonlinear Science 9 (1), 195-205, 1999

(see for example, Mixing and s egregation of g ranular m aterials [J. M. Ottino and D. V. Khakhar], Chaotic mixing of granular materials in two-dimensional tumbling mixers [D. V. Khakhar, J. J. McCarthy, J. F. Gilchrist, and J. M. Ottino], A dynamical systems approach to mixing and segregation of granular materials in tumblers [S.

The appearance of chaotic motion of granular material can be associated with the intersection of the separatrices of these saddle points.FIG. 1 .1Rotating container partially filled with a granular material. X axis is parallel to the free surface of the material, i.e., the angle of repose of the granular material is eliminated from the analysis.

58 OTTINO n KHAKHAR Figure 1 Catalog of possible variations in systems in the mixing of granular materials in quasi–two-dimensional mixers. xL2/g, where g is the acceleration due to gravity, L is the length scale of the system, and x is the rotational speed), the ﬂow comprises discrete avalanches;

Self-organization is often the result of competing effects; flowing granular matter displays both mixing and segregation. Small differences in either size or density lead to flow-induced segregation and order; similar to fluids, noncohesive granular materials can display chaotic mixing and disorder.

Mixing of granular materials provides fascinating examples of pattern formation and self- ... chaotic advection or chaotic mixing, as in the case of ﬂuids, and ﬂow-induced ... two-dimensional ﬂow can be derived from a stream-function Ψ, such that v

We discuss novel 3D chaotic behaviors exhibited in the blinking spherical tumbler ﬂow, a 3D chaotic ﬂow of granular materials in a bi-axial spherical tumbler [31, 59, 80, 45, 44]. The name comes from an analogy to an early example of 2D chaotic ﬂuid mixing—the blinking vortex ﬂow [4]—because a 3D spherical tumbler sequentially rotated

Motivated by mixing of yield stress materials, for example granular media, in physical systems, we use numerical simulations of PWIs on a hemispherical shell and examine how the fat fractal ...

We study the mixing properties of two systems: (i) a half-filled quasi-two-dimensional circular drum whose rotation rate is switched between two values and which can be analysed in terms of the existing mathematical formalism of linked twist maps; and (ii) a half-filled three-dimensional spherical tumbler rotated about two orthogonal axes bisecting the equator and with a rotational protocol ...

Mixing of granular materials provides fascinating examples of pattern formation and self- ... chaotic advection or chaotic mixing, as in the case of ﬂuids, and ﬂow-induced ... two-dimensional ﬂow can be derived from a stream-function Ψ, such that v

Mixing in granular flows10,11, unlike that in stirred fluids, is thought to be diffusive—although periodic forcing has been used to enhance granular mixing12,13, spontaneous chaotic granular ...

We consider the mixing of similar, cohesionless granular materials in quasi-two-dimensional rotating containers by means of theory and experiment. A mathematical model is presented for the flow in containers of arbitrary shape but which are symmetric with …

We consider the mixing of similar, cohesionless granular materials in quasi-two-dimensional rotating containers by means of theory and experiment. A mathematical model is presented for the flow in containers of arbitrary shape but which are symmetric with respect to rotation by 180 degrees and half-filled with solids. The flow comprises a thin cascading layer at the flat free surface, and a ...

makes mixing of granular materials complex is that, under flow, granular materials often segregate. The understanding of pro-totypical systems yields, however, considerable insight. Recently it was shown that chaotic advection can be generated in granular flows of noncohesive particles. This concept was

Chaotic mixing of granular materials in two-dimensional tumbling mixers D. V. Khakhar,a) J. J. McCarthy,b) J. F. Gilchrist, and J. M. Ottinoc) Department of Chemical Engineering, Northwestern University, Evanston, Illinois 60208 ~Received 15 July 1998; accepted for publication 30 December 1998!

Mixing and segregation of granular matter: multi-lobe formation in time-periodic flows - Volume 533. Skip to main content Accessibility help We use cookies to distinguish you from other users and to provide you with a better experience on our websites.

A prototypical problem in segregation of granular materials is the radial segregation of different particles in a rotating drum mixer. When particles differing in size (or density) are rotated in a partially filled circular drum, the smaller (denser) material quickly segregates toward the axis of rotation.

Nov 30, 2020· Sands, Powders, and Grains: An Introduction to the Physics of Granular Materials, by Jacques Duran, Sringer 2000 and Pattern Formation in Granular Materials, by Gerald H. Ristow, Springer Tracts in Modern Physics 164, Springer 2000, in J. Fluid Mech., 419, 345-347, (2000).

Chaotic mixing of granular material in a two-dimensional slowly rotating noncircular container in the absence of granular diffusivity is studied analytically and numerically as a discrete mapping. The noncircularity of a drum produces a time periodic disturbance and chaotization of the ﬂow ﬁeld.

We study the Lagrangian kinematics of steady three-dimensional Stokes flow over simple cubic (SC) and body-centred cubic (BCC) lattices of close-packed spheres, and uncover the mechanisms governing chaotic mixing in these crystalline structures. Due to the cusp-shaped sphere contacts, the topology of the skin friction field is fundamentally different to that of continuous (non-granular) media ...

An initially well mixed granular material composed of two distinct subclasses of particles, small and large or light and heavy, segregates radially into stable lobed patterns when rotated in various quasi-two-dimensional, regular polygonal tumblers.

Chaotic mixing of granular material in a two-dimensional slowly rotating noncircular container in the absence of granular diffusivity is studied analytically and numerically as a discrete mapping. The noncircularity of a drum produces a time periodic disturbance and chaotization of the flow field.

Jun 01, 2003· Chaotic mixing of granular materials in two-dimensional tumbling mixers. Khakhar DV, McCarthy JJ, Gilchrist JF, Ottino JM Chaos, 9(1):195-205, 01 Mar 1999

Aug 12, 2010· The experiments consisted in mixing two materials with similar properties, except the color and particle size distribution, at different operating conditions in a mixing device that consisted of an open box with two moving walls and three static ones, as shown in Fig. 1.The wall motions were controlled by two step motors connected to a computer in a master–slave configuration.

Chaotic mixing of granular materials in two-dimensional tumbling mixers DV Khakhar, JJ McCarthy, JF Gilchrist, JM Ottino Chaos: An Interdisciplinary Journal of Nonlinear Science 9 (1), 195-205, 1999

(see for example, Mixing and s egregation of g ranular m aterials [J. M. Ottino and D. V. Khakhar], Chaotic mixing of granular materials in two-dimensional tumbling mixers [D. V. Khakhar, J. J. McCarthy, J. F. Gilchrist, and J. M. Ottino], A dynamical systems approach to mixing and segregation of granular materials in tumblers [S.

The appearance of chaotic motion of granular material can be associated with the intersection of the separatrices of these saddle points.FIG. 1 .1Rotating container partially filled with a granular material. X axis is parallel to the free surface of the material, i.e., the angle of repose of the granular material is eliminated from the analysis.

58 OTTINO n KHAKHAR Figure 1 Catalog of possible variations in systems in the mixing of granular materials in quasi–two-dimensional mixers. xL2/g, where g is the acceleration due to gravity, L is the length scale of the system, and x is the rotational speed), the ﬂow comprises discrete avalanches;

Self-organization is often the result of competing effects; flowing granular matter displays both mixing and segregation. Small differences in either size or density lead to flow-induced segregation and order; similar to fluids, noncohesive granular materials can display chaotic mixing and disorder.

Mixing of granular materials provides fascinating examples of pattern formation and self- ... chaotic advection or chaotic mixing, as in the case of ﬂuids, and ﬂow-induced ... two-dimensional ﬂow can be derived from a stream-function Ψ, such that v

We discuss novel 3D chaotic behaviors exhibited in the blinking spherical tumbler ﬂow, a 3D chaotic ﬂow of granular materials in a bi-axial spherical tumbler [31, 59, 80, 45, 44]. The name comes from an analogy to an early example of 2D chaotic ﬂuid mixing—the blinking vortex ﬂow [4]—because a 3D spherical tumbler sequentially rotated

Motivated by mixing of yield stress materials, for example granular media, in physical systems, we use numerical simulations of PWIs on a hemispherical shell and examine how the fat fractal ...

We study the mixing properties of two systems: (i) a half-filled quasi-two-dimensional circular drum whose rotation rate is switched between two values and which can be analysed in terms of the existing mathematical formalism of linked twist maps; and (ii) a half-filled three-dimensional spherical tumbler rotated about two orthogonal axes bisecting the equator and with a rotational protocol ...

Mixing in granular flows10,11, unlike that in stirred fluids, is thought to be diffusive—although periodic forcing has been used to enhance granular mixing12,13, spontaneous chaotic granular ...

We consider the mixing of similar, cohesionless granular materials in quasi-two-dimensional rotating containers by means of theory and experiment. A mathematical model is presented for the flow in containers of arbitrary shape but which are symmetric with …

We consider the mixing of similar, cohesionless granular materials in quasi-two-dimensional rotating containers by means of theory and experiment. A mathematical model is presented for the flow in containers of arbitrary shape but which are symmetric with respect to rotation by 180 degrees and half-filled with solids. The flow comprises a thin cascading layer at the flat free surface, and a ...

makes mixing of granular materials complex is that, under flow, granular materials often segregate. The understanding of pro-totypical systems yields, however, considerable insight. Recently it was shown that chaotic advection can be generated in granular flows of noncohesive particles. This concept was

Chaotic mixing of granular materials in two-dimensional tumbling mixers D. V. Khakhar,a) J. J. McCarthy,b) J. F. Gilchrist, and J. M. Ottinoc) Department of Chemical Engineering, Northwestern University, Evanston, Illinois 60208 ~Received 15 July 1998; accepted for publication 30 December 1998!

Mixing and segregation of granular matter: multi-lobe formation in time-periodic flows - Volume 533. Skip to main content Accessibility help We use cookies to distinguish you from other users and to provide you with a better experience on our websites.

A prototypical problem in segregation of granular materials is the radial segregation of different particles in a rotating drum mixer. When particles differing in size (or density) are rotated in a partially filled circular drum, the smaller (denser) material quickly segregates toward the axis of rotation.

Nov 30, 2020· Sands, Powders, and Grains: An Introduction to the Physics of Granular Materials, by Jacques Duran, Sringer 2000 and Pattern Formation in Granular Materials, by Gerald H. Ristow, Springer Tracts in Modern Physics 164, Springer 2000, in J. Fluid Mech., 419, 345-347, (2000).

Chaotic mixing of granular material in a two-dimensional slowly rotating noncircular container in the absence of granular diffusivity is studied analytically and numerically as a discrete mapping. The noncircularity of a drum produces a time periodic disturbance and chaotization of the ﬂow ﬁeld.

We study the Lagrangian kinematics of steady three-dimensional Stokes flow over simple cubic (SC) and body-centred cubic (BCC) lattices of close-packed spheres, and uncover the mechanisms governing chaotic mixing in these crystalline structures. Due to the cusp-shaped sphere contacts, the topology of the skin friction field is fundamentally different to that of continuous (non-granular) media ...