scholarly journals Statistics of small length scale density fluctuations in supercooled viscous liquids

2019 ◽  
Vol 150 (9) ◽  
pp. 094505 ◽  
Author(s):  
Ulf R. Pedersen
Keyword(s):  
Density Fluctuations ◽  
Length Scale ◽  
Small Length ◽  
Viscous Liquids ◽  
Small Length Scale

Visualization of buoyancy opposing flow structures in a small length scale fluidic junction

2005 ◽  
Vol 8 (4) ◽  
pp. 288-288 ◽  
Author(s):  
P. A. Walsh ◽  
M. R. D. Davies ◽  
T. Dalton
Keyword(s):  
Flow Structures ◽  
Length Scale ◽  
Small Length ◽  
Small Length Scale

Nonlocal Approaches for the Vibration of Lattice Plates Including Both Shear and Bending Interactions

2018 ◽  
Vol 18 (07) ◽  
pp. 1850094 ◽  
Author(s):  
F. Hache ◽  
N. Challamel ◽  
I. Elishakoff
Keyword(s):  
Natural Frequencies ◽  
Scale Effects ◽  
Dynamical Behavior ◽  
Mindlin Plate ◽  
Length Scale ◽  
Small Length ◽  
Simply Supported ◽  
Small Length Scale ◽  
Plate Models ◽  
Scale Coefficient

The present study investigates the dynamical behavior of lattice plates, including both bending and shear interactions. The exact natural frequencies of this lattice plate are calculated for simply supported boundary conditions. These exact solutions are compared with some continuous nonlocal plate solutions that account for some scale effects due to the lattice spacing. Two continualized and one phenomenological nonlocal UflyandMindlin plate models that take into account both the rotary inertia and the shear effects are developed for capturing the small length scale effect of microstructured (or lattice) thick plates by associating the small length scale coefficient introduced in the nonlocal approach to some length scale coefficients given in a Taylor or a rational series expansion. The nonlocal phenomenological model constitutes the stress gradient Eringen’s model applied at the plate scale. The continualization process constructs continuous equation from the one of the discrete lattice models. The governing partial differential equations are solved in displacement for each nonlocal plate model. An exact analytical vibration solution is obtained for the natural frequencies of the simply supported rectangular nonlocal plate. As expected, it is found that the continualized models lead to a constant small length scale coefficient, whereas for the phenomenological nonlocal approaches, the coefficient, calibrated with respect to the element size of the microstructured plate, is structure-dependent. Moreover, comparing the natural frequencies of the continuous models with the exact discrete one, it is concluded that the continualized models provide much more accurate results than the nonlocal Uflyand–Mindlin plate models.

Small Length-Scale Analysis of Transport Phenomena in Oil-Wells Formation with Drilling Fluid Losses

2009 ◽  
Vol 27 (3) ◽  
pp. 345-356 ◽  
Author(s):  
G. Espinosa-Paredes ◽  
R. Vázquez-Rodriguez ◽  
R. Ramos-Alcantara ◽  
R. Varela-Ham ◽  
H. Romero-Paredes ◽  
...  
Keyword(s):  
Drilling Fluid ◽  
Transport Phenomena ◽  
Oil Wells ◽  
Length Scale ◽  
Scale Analysis ◽  
Small Length ◽  
Small Length Scale ◽  
Fluid Losses

POSTBUCKLING OF NANO RODS/TUBES BASED ON NONLOCAL BEAM THEORY

2009 ◽  
Vol 01 (02) ◽  
pp. 259-266 ◽  
Author(s):  
C. M. WANG ◽  
Y. XIANG ◽  
S. KITIPORNCHAI
Keyword(s):  
Differential Equation ◽  
Scale Effect ◽  
Shooting Method ◽  
Beam Theory ◽  
Length Scale ◽  
Small Length ◽  
Concentrated Load ◽  
Small Length Scale ◽  
Nano Rods ◽  
Nonlocal Beam

This paper is concerned with the postbuckling problem of cantilevered nano rods/tubes under an end concentrated load. Eringen's nonlocal beam theory is used to account for the small length scale effect. The governing equation is derived from statical and geometrical considerations and Eringen's nonlocal constitutive relation. The nonlinear differential equation is solved using the shooting method for the postbuckling load and the buckled shape. By comparing with the classical postbuckling solutions, the sensitivity of the small length scale effect on the buckling load and buckled shape may be observed. It is found that the small length scale effect decreases the postbuckling load and increases the deflection of the rod.

Effects of a small length scale on vibrations of an embedded double-walled carbon nanotube

2009 ◽  
Vol 45 (6) ◽  
pp. 557-566 ◽  
Author(s):  
H. Dalir ◽  
S. Sh. Amin ◽  
A. Farshidianfar
Keyword(s):  
Carbon Nanotube ◽  
Length Scale ◽  
Small Length ◽  
Small Length Scale

Microfluidics as a tool to assess and induce emulsion destabilization

Soft Matter ◽  
2022 ◽  
Author(s):  
Tatiana Porto Santos ◽  
Cesare Mikhail Cejas ◽  
Rosiane Lopes da Cunha
Keyword(s):  
Process Parameters ◽  
Microfluidic Devices ◽  
Length Scale ◽  
Small Length ◽  
Small Length Scale ◽  
Emulsion Droplets ◽  
Microfluidic Technology

Microfluidic technology enables a judicious control of the process parameters on a small length-scale, which in turn allows speeding up the destabilization of emulsion droplets interface in microfluidic devices. In...

Herriott cell interferometer for unsteady density measurements in small length scale thruster plasmas

2000 ◽  
Author(s):  
Erik Antonsen ◽  
Rodney Burton ◽  
Scott Engelman ◽  
Gregory Spanjers
Keyword(s):  
Length Scale ◽  
Small Length ◽  
Density Measurements ◽  
Small Length Scale ◽  
Herriott Cell
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