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## Some tests for hypotheses concerning tensile strength of cloth

### Applied Scientific Research, Section A (1952-05-01) 3: 211-224 , May 01, 1952

### Summary

An important quantity for the determination of the quality of a textile product is the tensile strength of the material. This strength may be tested by stretching a strip until it breaks and measuring the maximum tension which is attained during this process. The experiment may be performed in such a way that the time, necessary to attain the breaking point, has a predetermined length. This is called the testing time and it appears that it influences the tensile strength. The present paper gives a number of statistical tests which enable us to investigate certain properties of the relation between the two quantities mentioned. The use of the tests is demonstrated by a numerical example.

## Circulation distribution for six- and eight-bladed propellers

### Applied Scientific Research, Section A (1953-11-01) 3: 410-414 , November 01, 1953

### Summary

The general formulae for determining the circulation function for a finite number of blades, as given by Goldstein, has been evaluated for six-and eight-bladed propellers. The values of Bessel functions necessary for this purpose were computed, as the authors were not aware of any known tables listing them.

## The instantaneous slow flow of a visco-elastic fluid between two concentric spheres

### Applied Scientific Research, Section A (1964-01-01) 13: 423-431 , January 01, 1964

### Summary

A theoretical analysis is made of the flow of an incompressible viscoelastic fluid contained between two concentric spheres when the outer sphere is moved instantaneously in a given direction, whilst the inner sphere remains at rest. The solution is developed by successive approximations, the first corresponding to the instantaneous slow flow of a Newtonian viscous fluid. By allowing the radius of the outer sphere to approach infinity, the result obtained can be used to give an approximate solution to the equations of motion of a visco-elastic fluid flowing slowly past a fixed sphere.

## The influence of melting and anomalous expansion on the thermal convection in laminar boundary layers

### Applied Scientific Research, Section A (1954-09-01) 4: 435-452 , September 01, 1954

### Summary

The problem of thermal convection occurring when a solid melts in the stationary liquid phase of the same substance is complicated by the melting process, which introduces a moving boundary. If the melting solid is ice, a further complication arises from the anomalous thermal expansion of water at about 4°C, which causes a phenomenon called convective inversion. The boundary layer theory is here applied to calculate the influence of these two effects. The calculations are performed with a refinement of the Squire-Eckert approximation for large values of the Prandtl number. In a paper^{8}) to appear presently Dumoré will compare the theoretical results of this paper with his experiments on spheres of ice in water.

## The response of the level of a liquid fluidized bed to a sudden change in the fluidizing velocity

### Applied Scientific Research, Section A (1959-01-01) 8: 209-218 , January 01, 1959

### Summary

When the fluidizing velocity in a liquid fluidized bed of solid particles is suddenly changed, a discontinuity in the porosity is introduced at the bottom of the bed. This discontinuity is propagated upwards through the bed. The boundary between the old and the new porosity broadens or remains sharp depending on whether the porosity is increased or decreased. This behaviour is reflected in the way in which the bed level changes as a function of time. For a few different systems such response curves have been measured by means of a specially designed follow-up system. On the basis of the above mechanism a quantitative theory was developed for the response of the bed level to a step-wise change in the fluidizing velocity. This theory proved to give a satisfactory agreement with the observed facts.

## Theoretical derivation of tangential velocity profiles in a flat vortex chamber-influence of turbulence and wall friction

### Applied Scientific Research, Section A (1959-01-01) 8: 177-197 , January 01, 1959

### Summary

As part of a study on the hydrodynamics of a cyclone separator, a theoretical investigation of the flow pattern in a flat box cyclone (vortex chamber) has been carried out. Expressions have been derived for the tangential velocity profile as influenced by internal friction (eddy viscosity) and wall friction. The most important parameter controlling the tangential velocity profile is λ = −*u*_{0}*R*/(*v*+ ε), where *u*_{0} is the radial velocity at the outer radius *R* of the cyclone, *ν* the kinematic liquid viscosity and *ε* is the kinematic eddy viscosity. For values of *λ* greater than about 10 the tangential velocity profile is nearly hyperbolic, for *λ* smaller than 1 the tangential velocity even decreases towards the centre. It is shown how *λ* and also the wall friction coefficient may be obtained from experimental velocity profiles with the aid of suitable graphs. Because of the close relation between eddy viscosity and eddy diffusion, measurements of velocity profiles in flat box cyclones will also provide information on the eddy motion of particles in a cyclone, a motion reducing its separation efficiency.

## Induction in a conducting sheet by a small current-carrying loop

### Applied Scientific Research, Section A (1954-12-01) 3: 230-236 , December 01, 1954

### Summary

The problem of a small current-carrying loop situated over a thin plane sheet of conducting material is solved. The cases are considered where the loop axis is oriented both perpendicular and parallel to the plane of the sheet.

## Flow through uniformly tapped pipes

### Applied Scientific Research, Section A (1951-03-01) 3: 144-162 , March 01, 1951

### Summary

The problem treated relates to parallel multi-tube reactors, spray systems in dewaxing units, pipe burners for gaseous fuels, sprinkling systems for insecticide spraying, fire prevention and irrigation, ventilating systems in buildings and vehicular tunnels, distributing pipes in water filtering and aerating systems, etc., where it is required to ascertain under what conditions the discharge can be uniformly distributed over the manifold length. After a review of the case of laminar and turbulent flow through a pipe with a porous wall, the following questions have been treated in an analytical way: laminar flow in a pipe and laminar flow through branch pipes, or with discharge through orifices; turbulent flow in a pipe and laminar flow through branch pipes, or discharge through orifices.

## The apparent dead time of a geiger counter, measuring an intensity of radiation which varies periodically

### Applied Scientific Research, Section A (1954-12-01) 3: 29-34 , December 01, 1954

### Summary

A formula is derived for correcting the effect of the dead time when measuring periodically varying intensities of radiation with a Geiger counter. This formula should also be valid when the period of the variation becomes equal to the dead time of the counter, in which case the apparent dead time is reduced appreciably. An experimental test shows that with increasing frequency of the variation the number of counts indeed goes through a maximum.

## The influence of electric fields on the convective heat transfer in liquids II

### Applied Scientific Research, Section A (1951-01-01) 3: 85-88 , January 01, 1951

### Summary

The measurements of Ahsmann and Kronig on the change brought about in the heat transfer from a horizontal wire to a coaxial cylinder when the intervening liquid is subjected to an electric field between the two conductors are extended to wires of different diameter and to different values of the temperature of the liquid.