The Dispersion of Flexural Waves in an Elastic Circular Cylinder

1972 ◽  
Vol 39 (3) ◽  
pp. 817-819 ◽  
Author(s):  
Ram Kumar
Keyword(s):  
Circular Cylinder ◽  
Flexural Waves

The Dispersion of Flexural Waves in an Elastic, Circular Cylinder—Part 2

1962 ◽  
Vol 29 (1) ◽  
pp. 61-64 ◽  
Author(s):  
Yih-Hsing Pao
Keyword(s):  
Circular Cylinder ◽  
Frequency Equation ◽  
Flexural Waves

In the first part of this paper, a method was developed for the construction of the branches of Pochhammer’s frequency equation for flexural waves in a circular cylinder. The method was applied to the portions of the branches with real propagation constants. The method is now extended and applied to those portions having imaginary propagation constants.

Dispersion of Flexural Waves in an Elastic, Circular Cylinder

1960 ◽  
Vol 27 (3) ◽  
pp. 513-520 ◽  
Author(s):  
Yih-Hsing Pao ◽  
R. D. Mindlin
Keyword(s):  
Circular Cylinder ◽  
Phase Velocity ◽  
Propagation Constant ◽  
Direct Determination ◽  
Short Wave ◽  
Frequency Equation ◽  
Flexural Waves ◽  
Asymptotic Equations ◽  
Frequency Phase

In this paper it is shown how the branches of Pochhammer’s frequency equation for flexural waves in a circular cylinder may be constructed approximately with the aid of a grid of simpler curves and asymptotic equations for long and short wave lengths. With very little computation, in comparison with that required in the direct determination of the roots of Pochhammer’s equation, a qualitative view is obtained of the relations between frequency, phase velocity, group velocity, and propagation constant, for any branch, as well as some information as to the shapes of the modes.

Low Reynolds number flow around and heat transfer from a heated circular cylinder

2010 ◽  
Vol 1 (1-2) ◽  
pp. 15-20 ◽  
Author(s):  
B. Bolló
Keyword(s):  
Reynolds Number ◽  
Circular Cylinder ◽  
Lift Coefficient ◽  
Reynolds Numbers ◽  
Low Reynolds Numbers ◽  
Reynolds Number Flow ◽  
Two Dimensional Flow ◽  
Number Flow ◽  
Low Reynolds ◽  
Increasing Temperature

Abstract The two-dimensional flow around a stationary heated circular cylinder at low Reynolds numbers of 50 < Re < 210 is investigated numerically using the FLUENT commercial software package. The dimensionless vortex shedding frequency (St) reduces with increasing temperature at a given Reynolds number. The effective temperature concept was used and St-Re data were successfully transformed to the St-Reeff curve. Comparisons include root-mean-square values of the lift coefficient and Nusselt number. The results agree well with available data in the literature.

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