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1 Sep 1953

Volume 24, Issue 9, pp. 1069-1253

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Laminar Flow in Channels with Porous Walls

Abraham S. Berman

J. Appl. Phys. 24, 1232 (1953); http://dx.doi.org/10.1063/1.1721476 (4 pages) | Cited 278 times

Online Publication Date: 7 June 2004

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Show Abstract
The Navier‐Stokes equations have been solved to obtain a complete description of the fluid flow in a channel having a rectangular cross section and two equally porous walls. The scope has been limited to two‐dimensional incompressible steady‐state laminar flow.
The solution of the flow equations leads to detailed expressions for the dependence of the velocity components and the pressure on position coordinates, channel dimensions, and fluid properties.

Electron Flow Through Small Tubes With Magnetic Focusing

John L. Stewart

J. Appl. Phys. 24, 1236 (1953); http://dx.doi.org/10.1063/1.1721477 (5 pages) | Cited 1 time

Online Publication Date: 7 June 2004

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When a uniform finite magnetic field passing through the cathode is used for focusing a beam of electrons, random emission at the cathode results in the electrons traveling down the beam in a helical manner. Such a rotational motion severely limits the amount of current that can be made to travel through a small tube or between closely spaced parallel plates. The amount of current transmitted through such structures is calculated in this paper and presented in the form of normalized curves. It is assumed that the current initially fills the tube or the region between the parallel plates.
If an alternating electric field having a frequency comparable to the rotational frequency of the electrons is applied normal to the beam, the average electron radius of motion is increased. Should the electron beam be made to flow through a tube after the application of such an alternating electric field, the current transmission through the tube will be reduced over that when no electric field exists. The first‐order correction term for this case is calculated and presented in the form of normalized curves. The fact that the average electron radius is increased when an electric field is present implies added energy and leads to the formulation of a conductance expression relating the power in the rotational motion of the beam to the electric field normal to the beam.
The current interception and the equivalent beam conductance are important in many electronic devices such as traveling‐wave tubes. The beam conductance may be quite large in some cases—on the order of that present off the axis of a helix.

Epicentral Displacement Caused by Elastic Waves in an Infinite Slab

Alan G. Mencher

J. Appl. Phys. 24, 1240 (1953); http://dx.doi.org/10.1063/1.1721478 (7 pages) | Cited 13 times

Online Publication Date: 7 June 2004

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See Also: Erratum

Show Abstract
The displacement is determined at the epicenter of a homogeneous isotropic infinitely long elastic slab containing a point source of pressure waves. The source is centrally located between the slab surfaces and is taken to have a step function time dependence.
The formal solution for the Laplace transform of the displacement is obtained as an infinite integral. The integration and the inversion are simultaneously accomplished by an infinite series expansion of the integrand and transformation of variables for each term of the expansion. The resultant integrated series consists of terms having the mathematical form of reflected waves which diverge individually but combine to give a finite resultant.
In view of the fact that the expansion of the integrand is not valid at the upper limit of integration, a justification of the method and of the results is given.
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Spatially Alternating Magnetic Fields for Focusing Low‐Voltage Electron Beams

J. R. Pierce

J. Appl. Phys. 24, 1247 (1953); http://dx.doi.org/10.1063/1.1721479 (1 page) | Cited 3 times

Online Publication Date: 7 June 2004

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Abstract Unavailable

Mach Reflexion of Shocks at Arbitrary Incidence

H. F. Ludloff and M. B. Friedman

J. Appl. Phys. 24, 1247 (1953); http://dx.doi.org/10.1063/1.1721480 (2 pages)

Online Publication Date: 7 June 2004

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Abstract Unavailable

Effect on Distribution of Lattice Defects within Crystals of Linear Expansion and X‐Ray Lattice Constant

P. H. Miller and B. R. Russell

J. Appl. Phys. 24, 1248 (1953); http://dx.doi.org/10.1063/1.1721481 (2 pages) | Cited 8 times

Online Publication Date: 7 June 2004

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Abstract Unavailable

Geometrical and Apparent X‐Ray Expansions of a Crystal Containing Lattice Defects

J. D. Eshelby

J. Appl. Phys. 24, 1249 (1953); http://dx.doi.org/10.1063/1.1721482 (1 page) | Cited 11 times

Online Publication Date: 7 June 2004

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Abstract Unavailable

Combustion Rate of Artificial Graphites from 700°C to 2000°C in Air

Jun Okada and Tatsuo Ikegawa

J. Appl. Phys. 24, 1249 (1953); http://dx.doi.org/10.1063/1.1721483 (2 pages) | Cited 4 times

Online Publication Date: 7 June 2004

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Abstract Unavailable

A Simplified Calculation for Dolph‐Tchebycheff Arrays

G. J. Van Der Maas

J. Appl. Phys. 24, 1250 (1953); http://dx.doi.org/10.1063/1.1721484 (1 page) | Cited 1 time

Online Publication Date: 7 June 2004

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Abstract Unavailable

Some Relations between the Modulus of Rigidity and the Surface and Sublimation Energies

G. C. Kuczynski

J. Appl. Phys. 24, 1250 (1953); http://dx.doi.org/10.1063/1.1721485 (2 pages) | Cited 1 time

Online Publication Date: 7 June 2004

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Abstract Unavailable

X‐Ray Measurements of Radiation Damage in Black Phosphorus

D. L. Chipman, B. E. Warren, and G. J. Dienes

J. Appl. Phys. 24, 1251 (1953); http://dx.doi.org/10.1063/1.1721486 (1 page) | Cited 6 times

Online Publication Date: 7 June 2004

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Abstract Unavailable

Test for Zeros in the Unit Circle

Louis Weinberg

J. Appl. Phys. 24, 1251 (1953); http://dx.doi.org/10.1063/1.1721487 (2 pages)

Online Publication Date: 7 June 2004

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Abstract Unavailable

Response of Undamped Systems to Noise

D. B. Duncan

J. Appl. Phys. 24, 1252 (1953); http://dx.doi.org/10.1063/1.1721488 (2 pages)

Online Publication Date: 7 June 2004

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Abstract Unavailable
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