The pattern of magnetic-source on the surface of an infinite length conducting circular cylinder coated with a dielectric

2003 ◽  
Author(s):  
M. Zhiji ◽  
W. Jianxiang
Keyword(s):  
Circular Cylinder ◽  
Infinite Length ◽  
Magnetic Source

scholarly journals Post-Buckling Behavior of a Circular Rod Constrained Within a Circular Cylinder

1986 ◽  
Vol 53 (4) ◽  
pp. 929-934 ◽  
Author(s):  
K. G. Sorenson ◽  
J. B. Cheatham
Keyword(s):  
Circular Cylinder ◽  
Solution Procedure ◽  
Initial Contact ◽  
Cylinder Wall ◽  
Infinite Length ◽  
Buckling Behavior ◽  
Constant Pitch ◽  
End Conditions ◽  
Post Buckling ◽  
Fixed End

An axially loaded weightless circular rod buckles helically when constrained within a circular cylinder. The effects of pinned and fixed-end conditions are investigated. Both end conditions locate the rod end on the cylinder axis, and are found to perturb the helix in an exponentially decaying manner for a distance of less than one helix pitch length. Far from the end, the rod behaves as an undisturbed constant-pitch helix. The distance from the rod end to the point of initial contact with the cylinder wall is calculated. Closed-form analytical solutions are obtained for the deflected shapes and internal reactions of the end sections. The solution procedure applies to rods of either finite or infinite length.

PATTERNS OF STUB ANTENNAS ON CYLINDRICAL STRUCTURES

1956 ◽  
Vol 34 (2) ◽  
pp. 190-202 ◽  
Author(s):  
James R. Wait ◽  
K. Okashimo
Keyword(s):  
Circular Cylinder ◽  
Half Plane ◽  
Experimental Results ◽  
Infinite Length ◽  
Radiation Patterns ◽  
Cylindrical Structures ◽  
Electric Dipoles ◽  
Perfect Conductivity

Theoretical radiation patterns are presented for radial electric dipoles located on an isolated circular cylinder, and a cylindrically tipped half-plane. These cylindrical structures are considered to be of infinite length and of perfect conductivity. The computed patterns for the isolated cylinder compare well with the experimental results reported by Bain.

SCATTERING OF A PLANE WAVE FROM A CIRCULAR DIELECTRIC CYLINDER AT OBLIQUE INCIDENCE

1955 ◽  
Vol 33 (5) ◽  
pp. 189-195 ◽  
Author(s):  
James R. Wait
Keyword(s):  
Circular Cylinder ◽  
Plane Wave ◽  
Incident Wave ◽  
Oblique Incidence ◽  
Normal Incidence ◽  
The Other ◽  
Infinite Length ◽  
Dielectric Cylinder ◽  
Magnetic Vector ◽  
Plane Wave Incident

A solution is given for the problem of a plane wave incident obliquely on a circular cylinder of infinite length. The electric properties of the cylinder are taken to be homogeneous and isotropic but otherwise arbitrary. It is shown that in the general case the scattered field contains a significant cross-polarized component which vanishes at normal incidence. While the solution is derived for the magnetic vector of the incident wave transverse to the axis of the cylinder, the corresponding result for the other polarization can be obtained from symmetry.

On the Velocity Induced by a Vortex Elliptic Cylinder

1980 ◽  
Vol 24 (01) ◽  
pp. 1-7
Author(s):  
Monir F. George
Keyword(s):  
Circular Cylinder ◽  
Cross Sections ◽  
Elliptic Cylinder ◽  
Direct Application ◽  
Infinite Length ◽  
Single Vortex ◽  
Field Point ◽  
Elliptic Cross ◽  
Analytic Expressions ◽  
Induced Velocity

Exact analytic expressions are presented for the induced velocity components at any field point due to a single vortex ellipse and due to a vortex elliptic cylinder of uniform strength with a finite and a semi-infinite length. The elliptic cylinder is assumed to deviate very little from the reference circular cylinder. Comparison is made between the derived expressions and those due to a semi-infinite vortex circular cylinder, and sample calculations are presented. This investigation has a direct application to the case of nonaxisymmetric annular aerofoils of elliptic cross sections.

Criticality in a nearly circular cylinder

1987 ◽  
Vol 411 (1841) ◽  
pp. 413-419 ◽  
Keyword(s):  
Circular Cylinder ◽  
Reaction Rate ◽  
Critical Value ◽  
Surface Heat ◽  
Polar Coordinates ◽  
Critical Conditions ◽  
Infinite Length ◽  
Uniform Temperature ◽  
Surface Conditions ◽  
Surface Heat Transfer Coefficient

The problem of determining the critical conditions in a non-circular cylinder of infinite length is examined, in which the reaction is of zero order and where the Frank-Kamenetskii approximation to the reaction rate has been made. The generators are assumed parallel and the boundary of a cross section is given by r = 1 + ε cos θ ( ε ≪ 1), where ( r , θ ) are plane polar coordinates. The surface conditions assumed are (i) uniform temperature and (ii) newtonian cooling. By suitable expansions of the interior temperature and the Frank-Kamenetskii parameter δ , it is shown that the critical value of δ for (ii) is δ crit ( ε, B ) = 8 σ c /(1 + σ c ) 2 exp[ – (4 σ c )/ B (1 + σ c )] x [1 - ε 2 { σ 2 c /1 + σ c ) + (1/ B ) σ c (1 + 3 σ c )/(1 + σ c ) 2 } + O ( ε 4 )], Where σ c = -2/ B + (1 + 4/ B 2 ) ½ and where B is a Biot number propor­tional to the surface-heat transfer coefficient. For (i), the simple result δ crit ( ε , ∞) = 2 - ε 2 + O ( ε 4 ), is obtained.

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