Revised Theory for the Quantitative Analysis of Fabric Hand

1980 ◽  
Vol 102 (1) ◽  
pp. 25-31 ◽  
Author(s):  
V. L. Alley
Keyword(s):  
Quantitative Analysis ◽  
Internal Pressure ◽  
Quantitative Measure ◽  
Extraction Process ◽  
Two Dimensional ◽  
Membrane Theory ◽  
Dimensional Theory ◽  
One Dimensional ◽  
Fabric Hand ◽  
Specimen Weight

A revision and extension of theory is presented on the nozzle extraction process for obtaining “Handle Moduli” as a quantitative measure of fabric hand. The original one dimensional theory is replaced with a two dimensional membrane theory and a different internal pressure hypothesis is proposed which gives better agreement between tests from different orifice sizes. Conversion relationships between the original and revised data are given and the interaction of specimen weight on “hand” measurements is formulated.

Membrane theory

2017 ◽  
Author(s):  
David J. Steigmann
Keyword(s):  
Three Dimensional ◽  
Thin Sheets ◽  
Two Dimensional ◽  
Leading Order ◽  
Membrane Theory ◽  
Dimensional Theory ◽  
Small Thickness

This chapter develops two-dimensional membrane theory as a leading order small-thickness approximation to the three-dimensional theory for thin sheets. Applications to axisymmetric equilibria are developed in detail, and applied to describe the phenomenon of bulge propagation in cylinders.

scholarly journals Entropy, Information, and Symmetry: Ordered is Symmetrical

Entropy ◽  
2019 ◽  
Vol 22 (1) ◽  
pp. 11 ◽  
Author(s):  
Edward Bormashenko
Keyword(s):  
Binary System ◽  
Physical System ◽  
Quantitative Measure ◽  
2D Systems ◽  
Two Dimensional ◽  
One Dimensional ◽  
Entropy Information

Entropy is usually understood as the quantitative measure of “chaos” or “disorder”. However, the notions of “chaos” and “disorder” are definitely obscure. This leads to numerous misinterpretations of entropy. We propose to see the disorder as an absence of symmetry and to identify “ordering” with symmetrizing of a physical system; in other words, introducing the elements of symmetry into an initially disordered physical system. We demonstrate with the binary system of elementary magnets that introducing elements of symmetry necessarily diminishes its entropy. This is true for one-dimensional (1D) and two-dimensional (2D) systems of elementary magnets. Imposing symmetry does not influence the Landauer principle valid for the addressed systems. Imposing the symmetry restrictions onto the system built of particles contained within the chamber divided by the permeable partition also diminishes its entropy.

Seepage flow in unconfined aquifers

1975 ◽  
Vol 71 (1) ◽  
pp. 181-192 ◽  
Author(s):  
J. A. Shercliff
Keyword(s):  
Flow Rate ◽  
Seepage Flow ◽  
Two Dimensional ◽  
Dimensional Problem ◽  
Dimensional Theory ◽  
One Dimensional ◽  
Unconfined Aquifers ◽  
Source Line ◽  
Theory Yield ◽  
The Relationship

The paper concerns one- and two-dimensional models of steady seepage flow in unconfined aquifers and the relationship between them. The first part gives a new proof of Charnyi's result that one- and two-dimensional theory yield the same value for the flow rate in a horizontal aquifer or porous bed between vertical ends and shows the extent to which it can be generalized to non-uniform or anisotropic media. The second part solves the highly two-dimensional problem of flow from a line source (line of springs) in an otherwise impermeable, sloping stratum and compares the result with the predictions of a one-dimensional Dupuit–Pavlovsky approach. Confirmatory experiments using the Hele Shaw analogue of seepage flow are also reported.

scholarly journals Transient hexagonal structures in sheared emulsions of isotropic inclusions on smectic bubbles in microgravity conditions

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
P. V. Dolganov ◽  
N. S. Shuravin ◽  
V. K. Dolganov ◽  
E. I. Kats ◽  
R. Stannarius ◽  
...  
Keyword(s):  
Quantitative Analysis ◽  
International Space Station ◽  
Collective Behavior ◽  
Space Station ◽  
Hexagonal Structure ◽  
Two Dimensional ◽  
International Space ◽  
One Dimensional ◽  
Microgravity Conditions ◽  
Temporal Periodicity

AbstractWe describe the collective behavior of isotropic droplets dispersed over a spherical smectic bubble, observed under microgravity conditions on the International Space Station (ISS). We find that droplets can form two-dimensional hexagonal structures changing with time. Our analysis indicates the possibility of spatial and temporal periodicity of such structures of droplets. Quantitative analysis of the hexagonal structure including the first three coordination circles was performed. A peculiar periodic-in-time ordering of the droplets, related to one-dimensional motion of droplets with non-uniform velocity, was found.

Influence of Rotatory Inertia and Shear on Flexural Motions of Isotropic, Elastic Plates

1951 ◽  
Vol 18 (1) ◽  
pp. 31-38 ◽  
Author(s):  
R. D. Mindlin
Keyword(s):  
Uniqueness Theorem ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Elastic Plates ◽  
Dimensional Theory ◽  
Rotatory Inertia ◽  
One Dimensional ◽  
Edge Conditions

Abstract A two-dimensional theory of flexural motions of isotropic, elastic plates is deduced from the three-dimensional equations of elasticity. The theory includes the effects of rotatory inertia and shear in the same manner as Timoshenko’s one-dimensional theory of bars. Velocities of straight-crested waves are computed and found to agree with those obtained from the three-dimensional theory. A uniqueness theorem reveals that three edge conditions are required.

On the rotational compressible Taylor flow in injection-driven porous chambers

2008 ◽  
Vol 603 ◽  
pp. 391-411 ◽  
Author(s):  
BRIAN A. MAICKE ◽  
JOSEPH MAJDALANI
Keyword(s):  
Two Dimensional ◽  
Dimensional Approach ◽  
Dimensional Theory ◽  
Rocket Motors ◽  
One Dimensional ◽  
Flow Equations ◽  
Isentropic Flow ◽  
Experimental Approaches ◽  
Turbulent Models ◽  
Explicit Criteria

This work considers the compressible flow field established in a rectangular porous channel. Our treatment is based on a Rayleigh–Janzen perturbation applied to the inviscid steady two-dimensional isentropic flow equations. Closed-form expressions are then derived for the main properties of interest. Our analytical results are verified via numerical simulation, with laminar and turbulent models, and with available experimental data. They are also compared to existing one-dimensional theory and to a previous numerical pseudo-one-dimensional approach. Our analysis captures the steepening of the velocity profiles that has been reported in several studies using either computational or experimental approaches. Finally, explicit criteria are presented to quantify the effects of compressibility in two-dimensional injection-driven chambers such as those used to model slab rocket motors.

Effect of thyrotropin on the phosphorylation of thyroid chromosomal proteins

1979 ◽  
Vol 57 (6) ◽  
pp. 523-528 ◽  
Author(s):  
Yew Phew See ◽  
G. N. Burrow ◽  
C. C. Liew
Keyword(s):  
Quantitative Analysis ◽  
Gel Electrophoresis ◽  
Polyacrylamide Gel Electrophoresis ◽  
Two Dimensional ◽  
Chromosomal Proteins ◽  
One Dimensional ◽  
Molecular Weights ◽  
Ph Values ◽  
Isoelectric Points ◽  
Tsh Stimulation

Thyrotropin (TSH) stimulated the phosphorylation of histone H1 in calf thyroid slices but had no effect on other classes of histones. Phosphorylation of total phenol-soluble nonhistone chromosomal proteins was not affected by incubation with TSH. However, when these phenol-soluble nonhistone chromosomal proteins were analysed by two-dimensional gels involving isoelectrofocusing and dodecyl sulfate – polyacrylamide gel electrophoresis, TSH was shown to stimulate the phosphorylation of two specific groups of phosphoproteins with molecular weights between 35 000 and 45 000 and isoelectric points at pH values of 5.4–6.0. This increase in phosphorylation with TSH stimulation was confirmed by quantitative analysis of one-dimensional isoelectrofocusing gels.

Tree Traversal and Word Order

2005 ◽  
Vol 36 (3) ◽  
pp. 367-387 ◽  
Author(s):  
Murat Kural
Keyword(s):  
Word Order ◽  
Extraction Process ◽  
Two Dimensional ◽  
One Dimensional ◽  
Tree Traversal ◽  
Remnant Movement

This article looks at how the two-dimensional organization of a syntactic tree is translated into a one-dimensional string. It proposes a method of linearization that extracts the terminal string by visiting the nodes of a tree systematically in a predetermined order, either preorder, inorder, or postorder traversal. Crucially, it also argues that given a particular formulation of the extraction process, the traversal method chosen by individual languages produces the well-known crosslinguistic variations in word order typology (SVO, SOV, VSO, etc.) without having to resort to remnant movement.

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