scholarly journals STATIONARY VACUUM HYPER-CYLINDRICAL SOLUTION IN 4+1 DIMENSIONS

2007 ◽  
Vol 22 (32) ◽  
pp. 2439-2452 ◽  
Author(s):  
JUNGJAI LEE ◽  
HYEONG-CHAN KIM
Keyword(s):  
Physical Properties ◽  
Static Solution ◽  
Three Dimensions ◽  
Spherically Symmetric ◽  
Stationary Vacuum

We find a (4+1)-dimensional stationary vacuum hyper-cylindrical solution which is spherically symmetric in three dimensions and invariant under the translation along the fifth coordinate. The solution is characterized by three parameters, mass, tension, and conserved momentum along the fifth coordinate. The metric is locally equivalent to the known static solution. We briefly discuss its physical properties.

Theoretical Relationships for the Lift and Drag of an Aerofoil Structure

1923 ◽  
Vol 27 (154) ◽  
pp. 512-518
Author(s):  
H. Glauert
Keyword(s):  
Physical Properties ◽  
Relative Motion ◽  
Three Dimensions ◽  
General Nature ◽  
Essential Characteristic ◽  
Dominant Component ◽  
Induced Drag ◽  
Vortex Theory ◽  
Geometrical Form ◽  
Lift And Drag

It is a fact of common experience that a body in motion relative to a gas or liquid is subject to a resultant force, and it is customary to resolve this force into two components, the drag opposing the relative motion and the lift at right-angles to the direction of this motion. In general the drag is the pre-dominant component, but the class of bodies known as aerofoils and used for the construction of aeroplane wings, is such that the lift is considerably in excess of the drag. The present discussion relates solely to this class of bodies whose essential characteristic is the production of a large lift correlated with a relatively small drag. It is a matter of very considerable importance to develop a theory which will explain the origin of the forces experienced by an aerofoil, and will provide a method of calculating the characteristics of any aerofoil structure from a knowledge of its geometrical form and of the physical properties of the fluid through which it moves. It is proposed to discuss the behaviour of aerofoils in two and in three dimensions, and in particular to discuss the vortex theory of lift and induced drag. The general nature of the flow pattern on which the theory is based has been described by Lanchester, but the mathematical development of the thcorv is due to Prandtl and his colleagues.

The Elastic Cable Under the Action of Concentrated and Distributed Forces

2000 ◽  
Vol 123 (1) ◽  
pp. 43-45 ◽  
Author(s):  
Svein I. Sagatun
Keyword(s):  
Finite Element ◽  
Static Solution ◽  
Three Dimensions ◽  
Axial Stiffness ◽  
Analytical Expression ◽  
Distributed Forces

This article contains a recursive analytical expression for the static solution of an elastic cable under the action of concentrated and distributed forces in three dimensions. The cable’s axial stiffness as well as the concentrated and distributed forces may vary along the cable. The proposed solution is presented on vectorial form; it is exact and faster than a finite-element-based solution.

scholarly journals Development and use of three-dimensional image analysis algorithms to evaluate puffing of banana slices undergone combined hot air and microwave drying

2018 ◽  
Author(s):  
Maturada Jinorose ◽  
A. Satienkijumpai ◽  
Sakamon Devahastin
Keyword(s):  
Image Analysis ◽  
Physical Properties ◽  
Surface Texture ◽  
Three Dimensional ◽  
Two Dimensions ◽  
Three Dimensions ◽  
Microwave Drying ◽  
Attractive Alternative ◽  
Dimensional Image ◽  
Hot Air

Puffing is an attractive alternative for the production of healthy crisp snacks without frying. Although image analysis has been used in some prior studies to evaluate puffing, such an evaluation was made only in one or two dimensions, which is inadequate when a sample deforms in three dimensions. In this study, use of combined hot-air and microwave drying to dry and puff banana slices was first evaluated. Algorithms were then developed to characterize the changes in the appearance of puffed banana slices. Various image-based parameters, both in two and three dimensions were assessed and used to monitor the puffing. Keywords: Deformation; Puffing; Imge analysis; Physical properties; Surface texture 

New Methodology in Analysis of Physical Properties and Roll Decay with Uncertainty Estimates for Surface-Ship Model Experiments

2017 ◽  
Author(s):  
Joel T. Park ◽  
Charles R. Turner ◽  
Mark P. Melendez
Keyword(s):  
Physical Properties ◽  
Center Of Gravity ◽  
Roll Angle ◽  
Three Dimensions ◽  
Radius Of Gyration ◽  
Angle Variation ◽  
Scale Free ◽  
Surface Ship ◽  
Uncertainty Estimates ◽  
Calm Water

Physical properties and roll decay of David Taylor Model Basin (DTMB) Model 5720, a 23rd scale free running model of the research vessel (R/V) Melville, are documented with uncertainty estimates. Properties include mass, vertical center of gravity (VCG), longitudinal center of gravity (LCG), and transverse center of gravity (TCG), and moments of inertia (MOI) for roll and pitch, transverse metacentric height (GMT), and natural roll period, Tn. Previous analysis has been expanded with additional details and uncertainty estimates. Results are based on measurements with the latest technology. The significant results for model properties are as follows: length 3.3652 ±0.0010 m (±0.030 %), mass 233.21 ±0.46 kg (±0.20 %), LCG 1.6061 ±0.0011 m (±0.067 %) aft of bow, VCG 0.2640 ±0.0017 m (±0.63 %) above keel, GMT 47.76 ±0.61 mm (±1.3 %), roll radius of gyration 0.2329 ±0.0042 m (±1.8 %), and pitch radius of gyration 0.8434 ±0.0024 m (±0.28 %). The roll period in calm water was independent of the Froude number (Fr) and initial roll angle (a). At Fr = 0, 0.15, 0.22, the average roll period was 2.2298 ±0.0040 s (±0.18 %) for 76 runs, all Fr, and all initial roll angles. The initial roll angle variation was 3° to 25°. The natural roll period was 2.139 ±0.041 s (±1.9 %). The decay coefficient data were accurately approximated by a plane in three dimensions with Fr and initial roll amplitudes (a) as the independent variables. Examples are provided that show the average values for a single roll decay event from the logdecrement method are the same as the values by the curve fitting method within the uncertainty estimates.

scholarly journals ON THE PHYSICAL PROPERTIES OF SPHERICALLY SYMMETRIC SELF-SIMILAR SOLUTIONS

2005 ◽  
Vol 14 (01) ◽  
pp. 73-84 ◽  
Author(s):  
M. SHARIF ◽  
SEHAR AZIZ
Keyword(s):  
Physical Properties ◽  
Radial Direction ◽  
The Self ◽  
Spherically Symmetric ◽  
Self Similar ◽  
Similar Solutions ◽  
Kinematic Properties

In this paper, we are exploring some of the properties of the self-similar solutions of the first kind. In particular, we shall discuss the kinematic properties and also check the singularities of these solutions. We discuss these properties both in co-moving and also in non-co-moving (only in the radial direction) coordinates. Some interesting features of these solutions turn up.

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