scholarly journals Areal mapping of arbitrary plane regions onto rectangular meshes. [For setting up hydrodynamics calculations]

1977 ◽  
Author(s):  
S.I. Warshaw
Keyword(s):  
Arbitrary Plane ◽  
Areal Mapping

Some calculations relevant to thermal annealing of fission tracks in apatite

1988 ◽  
Vol 419 (1857) ◽  
pp. 305-321 ◽  
Keyword(s):  
Conditional Distribution ◽  
Fission Track ◽  
Length Distribution ◽  
Track Length ◽  
Apatite Crystal ◽  
Routine Practice ◽  
Fission Tracks ◽  
Line Segments ◽  
Segment Model ◽  
Arbitrary Plane

Calculations in stochastic geometry are applied to the geological problem of analysing the statistical distribution of fission tracks in an apatite crystal, when information is available only by plane sampling. The feature of particular interest is the effect of anisotropy, in the sense of dependence of track length on orientation. Using a realistic Poisson line-segment model, we obtain formulae for the density of line segments intersecting an arbitrary plane and for the length distributions of confined tracks, semi-tracks and projected semi-tracks in terms of the conditional distribution of length given orientation. These formulae are used to explain and quantify the effect of anisotropy seen in experimental data from fission track annealing studies. We argue that track orientations, in addition to lengths, carry potentially useful information. For confined tracks, we recommend that both length and angle to the c -axis be measured as routine practice. For projected semi-tracks, where it is much harder to extract useful information from the observed length distribution, the measurement of angle, in addition to length, may prove fruitful, particularly when confined tracks are scarce.

scholarly journals Volume Rendering Method Applied to 3D Edge Impurity Emission in LHD to Produce Projection Image in Arbitrary Plane

2019 ◽  
Vol 14 (0) ◽  
pp. 3406084-3406084
Author(s):  
Yuichi TAMURA ◽  
Masahiro KOBAYASHI ◽  
Taisuke KOBAYASHI ◽  
Wataru OMORI ◽  
Hiroaki NAKAMURA ◽  
...  
Keyword(s):  
Volume Rendering ◽  
Projection Image ◽  
Arbitrary Plane

Acoustic Fields of Arbitrary Plane or Spherical Transducers

1996 ◽  
pp. 459-464 ◽  
Author(s):  
Dominique Cathignol ◽  
Philippe Faure
Keyword(s):  
Acoustic Fields ◽  
Arbitrary Plane

scholarly journals Research on Duct Flow Field Optimisation of a Robot Vacuum Cleaner

10.5772/50903 ◽  
2011 ◽  
Vol 8 (5) ◽  
pp. 65 ◽  
Author(s):  
Xiao-bo Lai ◽  
Hai-shun Wang ◽  
Hua-shan Liu
Keyword(s):  
Pressure Drop ◽  
Flow Field ◽  
Velocity Vector ◽  
Fluid Model ◽  
Three Dimensional ◽  
Theoretical Modelling ◽  
Duct Flow ◽  
Vacuum Cleaner ◽  
Arbitrary Plane ◽  
Computational Fluid Dynamics Cfd

The duct of a robot vacuum cleaner is the length of the flow channel between the inlet of the rolling brush blower and the outlet of the vacuum blower. To cope with the pressure drop problem of the duct flow field in a robot vacuum cleaner, a method based on Pressure Implicit with Splitting of Operators (PRISO) algorithm is introduced and the optimisation design of the duct flow field is implemented. Firstly, the duct structure in a robot vacuum cleaner is taken as a research object, with the computational fluid dynamics (CFD) theories adopted; a three-dimensional fluid model of the duct is established by means of the FLUENT solver of the CFD software. Secondly, with the k-∊ turbulence model of three-dimensional incompressible fluid considered and the PRISO pressure modification algorithm employed, the flow field numerical simulations inside the duct of the robot vacuum cleaner are carried out. Then, the velocity vector plots on the arbitrary plane of the duct flow field are obtained. Finally, an investigation of the dynamic characteristics of the duct flow field is done and defects of the original duct flow field are analysed, the optimisation of the original flow field has then been conducted. Experimental results show that the duct flow field after optimisation can effectively reduce pressure drop, the feasibility as well as the correctness of the theoretical modelling and optimisation approaches are validated.

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