scholarly journals Comparison of electrorheological characteristics obtained in two geometrical arrangements: Parallel plates and concentric cylinders

2015 ◽  
Author(s):  
Petra Peer ◽  
Petr Filip ◽  
Martin Stenicka ◽  
Vladimir Pavlinek
Keyword(s):  
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.

An Approximate Method for Multidimensional Problems of Radiative Energy Transfer in an Absorbing and Emitting Media

1969 ◽  
Vol 91 (4) ◽  
pp. 502-510 ◽  
Author(s):  
L. R. Glicksman
Keyword(s):  
Energy Transfer ◽  
Approximate Method ◽  
Numerical Solutions ◽  
Radiant Energy ◽  
Radiative Energy ◽  
Parallel Plates ◽  
Radiative Energy Transfer ◽  
Multidimensional Problems ◽  
Concentric Cylinders ◽  
Emitting Media

A new approximate method for dealing with radiant energy transfer in an absorbing and emitting media is presented. The approximate equations reduce to the correct optically thin and thick limits for multidimensional problems. The technique is used to predict the heat transfer between plane parallel plates and between concentric cylinders for a gray medium in radiation equilibrium. The results are in excellent agreement with previously published numerical solutions for all values of the optical thickness.

New boundary conditions in the transition régime

1968 ◽  
Vol 2 (3) ◽  
pp. 293-310 ◽  
Author(s):  
Carlo Cercignani ◽  
Gino Tironi
Keyword(s):  
Boundary Conditions ◽  
Numerical Solutions ◽  
Stokes Equations ◽  
Slip Flow ◽  
Navier Stokes ◽  
Main Body ◽  
Parallel Plates ◽  
Navier Stokes Equations ◽  
Concentric Cylinders ◽  
Flow Heat

Starting from the Boltzmann equation, new boundary conditions are derived to be matched with the Navier—Stokes equations, that are supposed to hold in the main body of a gas. The idea upon which this method is based goes back to Maxwell and Langmuir. Since the distribution function is supposed to be completely determined by the Navier—Stokes equations, this new set of boundary conditions extends in some sense the validity of the macroscopic equations to the transition and free molecular régimes. In fact, it is shown that the free molecular and slip flow régimes are correctly described by this method; the latter is also supposed to give a reasonable approximation for the complete range of Knudsen numbers. The new procedure is applied to different problems such as plane Couette flow, plane and cylindrical Poiseuile flow, heat transfer between parallel plates and concentric cylinders. Results are obtained and compared with the exact numerical solutions for the above-mentioned problems.

scholarly journals Lateral Casimir forces on parallel plates and concentric cylinders with corrugations

2009 ◽  
Vol 161 ◽  
pp. 012008
Author(s):  
Inés Cavero-Peláez ◽  
Kimball A Milton ◽  
Prachi Parashar ◽  
K V Shajesh
Keyword(s):  
Parallel Plates ◽  
Casimir Forces ◽  
Concentric Cylinders

POSITIVE GLOW CORONA ALONG A CYLINDRICAL ROD BETWEEN TWO PARALLEL PLATES

1979 ◽  
Vol 40 (C7) ◽  
pp. C7-241-C7-242
Author(s):  
A. Boulloud ◽  
J. Charrier ◽  
R. Le Ny
Keyword(s):  
Parallel Plates
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