The Potential Distribution Between Parallel Plates and Concentric Cylinders Due to Any Arbitrary Distribution of Space Charge

Physics ◽  
1935 ◽  
Vol 6 (1) ◽  
pp. 10-13 ◽  
Author(s):  
W. G. Cady
Keyword(s):  
Space Charge ◽  
Potential Distribution ◽  
Arbitrary Distribution ◽  
Parallel Plates ◽  
Concentric Cylinders

Internal laminar flow

2018 ◽  
Author(s):  
Marcel Escudier
Keyword(s):  
Poiseuille Flow ◽  
Stokes Equations ◽  
Circular Cross Section ◽  
Navier Stokes ◽  
Parallel Plates ◽  
Concentric Cylinder ◽  
Navier Stokes Equations ◽  
Concentric Cylinders ◽  
Constant Viscosity ◽  
Pressure Driven Flow

In this chapter it is shown that solutions to the Navier-Stokes equations can be derived for steady, fully developed flow of a constant-viscosity Newtonian fluid through a cylindrical duct. Such a flow is known as a Poiseuille flow. For a pipe of circular cross section, the term Hagen-Poiseuille flow is used. Solutions are also derived for shear-driven flow within the annular space between two concentric cylinders or in the space between two parallel plates when there is relative tangential movement between the wetted surfaces, termed Couette flows. The concepts of wetted perimeter and hydraulic diameter are introduced. It is shown how the viscometer equations result from the concentric-cylinder solutions. The pressure-driven flow of generalised Newtonian fluids is also discussed.

scholarly journals LEADING- AND NEXT-TO-LEADING-ORDER LATERAL CASIMIR FORCE ON CORRUGATED SURFACES

2009 ◽  
Vol 24 (08n09) ◽  
pp. 1757-1763 ◽  
Author(s):  
INÉS CAVERO-PELÁEZ ◽  
KIMBALL A. MILTON ◽  
PRACHI PARASHAR ◽  
K. V. SHAJESH
Keyword(s):  
Casimir Force ◽  
Delta Function ◽  
Lateral Force ◽  
Perturbative Expansion ◽  
Parallel Plates ◽  
Leading Order ◽  
Corrugated Surfaces ◽  
Concentric Cylinders ◽  
Analytic Expressions ◽  
Function Potential

We derive explicit analytic expressions for the lateral force for two different configurations with corrugations, parallel plates and concentric cylinders. By making use of the multiple scattering formalism, we calculate the force for a scalar field under the influence of a delta-function potential that has sinusoidal dependence in one direction simulating the corrugations. By making a perturbative expansion in the amplitude of the corrugation we find the leading order for the corrugated concentric cylinders and the next-to-leading order for the corrugated parallel plates.

Retarded Flow of Bingham Materials

1959 ◽  
Vol 26 (1) ◽  
pp. 107-113
Author(s):  
Alfred Slibar ◽  
Paul R. Paslay
Keyword(s):  
Couette Flow ◽  
Axial Flow ◽  
Experimental Results ◽  
Circular Pipe ◽  
Parallel Plates ◽  
Viscous Material ◽  
Concentric Cylinders ◽  
Bingham Material ◽  
Theoretical Predictions ◽  
Flow Through

Abstract The solutions for three cases of retarded flow of a rigid-viscous material are given. These cases are: (a) Sliding parallel plates; (b) Couette flow between concentric cylinders; and (c) axial flow through a circular pipe. For Couette flow two types of loading-unloading paths are found. The results of this analysis explain some of the discrepancies between experimental results and theoretical predictions for a Bingham material.

EFFECT OF VARIABLE MASS OF THE ELECTRON ON THE SPACE-CHARGE LIMITED CURRENT IN A DIODE

1951 ◽  
Vol 29 (2) ◽  
pp. 159-162 ◽  
Author(s):  
S. Visvanathan
Keyword(s):  
Space Charge ◽  
Potential Distribution ◽  
Variable Mass ◽  
Series Expansions ◽  
Space Charge Limited Current ◽  
Large Power ◽  
Plane Parallel ◽  
Limited Current ◽  
Current Potential ◽  
Space Charge Limited

The change in the current-potential distribution due to the relativistic variation of the mass of the electron has been calculated by suitable series expansions in the case of a plane parallel diode and has been shown to be considerable in the case of large power tubes.

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