scholarly journals Existence of liouvillian solutions in the problem of motion of a dynamically symmetric ball on a perfectly rough sphere

2018 ◽  
Vol 5(63) (4) ◽  
Author(s):  
Alexander S. Kuleshov ◽  
Vera A. Katasonova
Keyword(s):  
Liouvillian Solutions ◽  
Rough Sphere

scholarly journals Separate and Simultaneous Adjustment of Light Qualities in a Real Scene

i-Perception ◽  
2017 ◽  
Vol 8 (1) ◽  
pp. 204166951668608 ◽  
Author(s):  
Ling Xia ◽  
Sylvia C. Pont ◽  
Ingrid Heynderick
Keyword(s):  
Light Intensity ◽  
Statistical Difference ◽  
Light Field ◽  
Three Dimensional ◽  
Lighting Design ◽  
Illumination Direction ◽  
3D Texture ◽  
Real Scene ◽  
Simultaneous Adjustment ◽  
Rough Sphere

Humans are able to estimate light field properties in a scene in that they have expectations of the objects’ appearance inside it. Previously, we probed such expectations in a real scene by asking whether a “probe object” fitted a real scene with regard to its lighting. But how well are observers able to interactively adjust the light properties on a “probe object” to its surrounding real scene? Image ambiguities can result in perceptual interactions between light properties. Such interactions formed a major problem for the “readability” of the illumination direction and diffuseness on a matte smooth spherical probe. We found that light direction and diffuseness judgments using a rough sphere as probe were slightly more accurate than when using a smooth sphere, due to the three-dimensional (3D) texture. We here extended the previous work by testing independent and simultaneous (i.e., the light field properties separated one by one or blended together) adjustments of light intensity, direction, and diffuseness using a rough probe. Independently inferred light intensities were close to the veridical values, and the simultaneously inferred light intensity interacted somewhat with the light direction and diffuseness. The independently inferred light directions showed no statistical difference with the simultaneously inferred directions. The light diffuseness inferences correlated with but contracted around medium veridical values. In summary, observers were able to adjust the basic light properties through both independent and simultaneous adjustments. The light intensity, direction, and diffuseness are well “readable” from our rough probe. Our method allows “tuning the light” (adjustment of its spatial distribution) in interfaces for lighting design or perception research.

scholarly journals IV. Impact with a liquid surface studied by the aid of instantaneous photography. Paper II

1900 ◽  
Vol 194 (252-261) ◽  
pp. 175-199 ◽  
Keyword(s):  
Liquid Surface ◽  
Thin Glass ◽  
Water Line ◽  
Glass Vessel ◽  
Camera Lens ◽  
General Arrangement ◽  
Set Up ◽  
The Impact ◽  
Rough Sphere ◽  
Smooth Sphere

In a previous paper (‘Philosophical Transactions,’ A, 1897, vol. 189, p. 137) we have drawn attention to the fact that the disturbance set up in a liquid by the impact of a rough sphere falling into it, differs in a very remarkable manner from that which follows the entry of a smooth sphere. In the present paper we describe further experiments, made with the object of ascertaining the reason of this difference, and give the conclusions reached. It appeared desirable, in the first place, to take instantaneous photographs of the disturbed liquid below the water-line. These were easily obtained by letting the splash take place in an approximately parallel-sided thin glass vessel (an inverted clock-shade) illuminated from behind. The liquid surface when undisturbed was about level with the middle of the camera-lens, which was focussed for the sphere when under water. The general arrangement of the optical apparatus will be suffi­ciently understood from the accompanying cut (fig. 1). The method of timing the illumination was that already described ( loc. cit. ).

Molecular dynamical studies of rough-sphere fluids

1975 ◽  
Vol 11 (4) ◽  
pp. 1430-1439 ◽  
Author(s):  
G. Subramanian ◽  
H. T. Davis
Keyword(s):  
Rough Sphere

Kinetic theory of rough sphere fluids: Matrix elements

1977 ◽  
Vol 66 (10) ◽  
pp. 4721-4722 ◽  
Author(s):  
J. R. Mehaffey ◽  
Rashmi C. Desai
Keyword(s):  
Kinetic Theory ◽  
Matrix Elements ◽  
Rough Sphere

A Combined Molecular Dynamics and Finite Element Analysis of Contact and Adhesion of a Rough Sphere and a Flat Surface

2011 ◽  
Vol 54 (6) ◽  
pp. 920-928 ◽  
Author(s):  
H. Eid ◽  
G. G. Adams ◽  
N. E. McGruer ◽  
A. Fortini ◽  
S. Buldyrev ◽  
...  
Keyword(s):  
Molecular Dynamics ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Flat Surface ◽  
Element Analysis ◽  
Rough Sphere

scholarly journals Water entry of spheres with various contact angles

2019 ◽  
Vol 862 ◽  
Author(s):  
Nathan B. Speirs ◽  
Mohammad M. Mansoor ◽  
Jesse Belden ◽  
Tadd T. Truscott
Keyword(s):  
Contact Angle ◽  
Weber Number ◽  
Bond Number ◽  
Water Entry ◽  
Contact Angles ◽  
Cavity Formation ◽  
Liquid Impact ◽  
Critical Impact Velocity ◽  
Solid Liquid ◽  
Rough Sphere

It is well known that the water entry of a sphere causes cavity formation above a critical impact velocity as a function of the solid–liquid contact angle; Duez et al. (Nat. Phys., vol. 3 (3), 2007, pp. 180–183). Using a rough sphere with a contact angle of $120^{\circ }$ , Aristoff & Bush (J. Fluid Mech., vol. 619, 2009, pp. 45–78) showed that there are four different cavity shapes dependent on the Bond and Weber numbers (i.e., quasistatic, shallow, deep and surface). We experimentally alter the Bond number, Weber number and contact angle of smooth spheres and find two key additions to the literature: (1) cavity shape also depends on the contact angle; (2) the absence of a splash crown at low Weber number results in cavity formation below the predicted critical velocity. In addition, we use alternate scales in defining the Bond, Weber and Froude numbers to predict the cavity shapes and scale pinch-off times for various impacting bodies (e.g., spheres, multidroplet streams and jets) on the same plots, merging the often separated studies of solid–liquid and liquid–liquid impact in the literature.

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