Effect of finite number of segments on flow birefringence extinction angle and the determination of internal viscosity and chain relaxation time

1968 ◽  
Vol 222 (1) ◽  
pp. 34-39 ◽  
Author(s):  
G. B. Thurston
1975 ◽  
Vol 97 (2) ◽  
pp. 472-478 ◽  
Author(s):  
H. T. Wang

The results of a comprehensive investigation of the accuracy of representing a continuous cable by a finite number of segments are presented. The results are limited to the two-dimensional static case. The accuracy of three different finite-segment models is evaluated for a number of segments ranging from 1 to 40. The difference between the three models lies in the manner in which the inclination of each segment is obtained. The results basically show that relatively few segments are required to accurately obtain the overall geometry and resultant tension of the cable.


Experiments in which single particles are studied with the aid of counters would, in principle, lead to an exact determination of the statistical laws governing the behaviour of these particles if the number of counted particles were infinitely large. With a finite number of counts, however, a finite statistical error will always remain. This error depends upon the number of counts and upon the way in which one makes use of the counter readings to calculate the parameters entering into the statistical laws. The purpose of the following investigation is to show for some typical cases which way of calculating has to be adopted in order to make the error a minimum.


Frequenz ◽  
2014 ◽  
Vol 68 (3-4) ◽  
Author(s):  
Tomislav Šuh ◽  
Predrag Jovanović ◽  
Aleksandar Lebl ◽  
Dragan Mitić ◽  
Žarko Markov

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