Radial Flow Without Swirl Between Parallel Disks Having Both Supersonic and Subsonic Regions

1966 ◽  
Vol 88 (1) ◽  
pp. 147-154 ◽  
Author(s):  
P. S. Moller
Keyword(s):  
Experimental Study ◽  
Pressure Distribution ◽  
Radial Flow ◽  
Radial Pressure ◽  
Channel Inlet ◽  
One Dimensional ◽  
Parallel Disks ◽  
Shock Region ◽  
Mass Flows ◽  
The One

A theoretical and experimental study is made of turbulent radial flow between parallel disks with choked conditions at the channel inlet. Supersonic flow is found to exist for some distance downstream of the inlet to a point in the channel where a quasi-normal shock causes the flow to become subsonic. A numerical solution is obtained for the radial pressure distribution and the location of the shock region. Agreement with experiment is good as shown both by comparison with the pressure distribution and by flow visualization. When the square inlet corner was preceded by a chamfered section, the mass flows required to choke were increased and approached the one-dimensional predictions.

Contact Mechanics of a Hard Cylinder on a Viscoelastic Layer

Tribology ◽  
2006 ◽  
Author(s):  
Steven R. H. Barrett ◽  
Alexander H. Slocum
Keyword(s):  
Pressure Distribution ◽  
Contact Mechanics ◽  
Normal Force ◽  
Maxwell Model ◽  
Sliding Contact ◽  
Viscoelastic Layer ◽  
Tractive Force ◽  
Rolling Velocity ◽  
One Dimensional ◽  
The One

The rolling/sliding contact of a hard cylinder on a viscoelastic layer is re-examined. The one-dimensional Maxwell model, with the addition of a parallel spring, is used to model the normal stiffness of the viscoelastic layer A solution for the pressure distribution is presented. It is shown that the maximum tractive force that the cylinder can sustain before complete sliding is a function of the sense and magnitude of the rolling velocity. Two regimes of loading are considered - constant cylinder normal force and constant cylinder indentation.

Verification of a One-Dimensional Two-Phase Flow Model of the Frontal Gap in Electrochemical Machining

1976 ◽  
Vol 98 (2) ◽  
pp. 431-437 ◽  
Author(s):  
F. Fluerenbrock ◽  
R. D. Zerkle ◽  
J. F. Thorpe
Keyword(s):  
Flow Model ◽  
Radial Flow ◽  
Electrochemical Machining ◽  
Equilibrium Conditions ◽  
Two Phase ◽  
One Dimensional ◽  
Supply Pressure ◽  
Theoretical Predictions ◽  
The One ◽  
Experimental Pressure

A set of six equations, which are based on the ECM model developed by Thorpe and Zerkle, can be solved numerically to yield the one-dimensional distributions of pressure, temperature, gas density, gap thickness, void fraction, and electrolyte velocity in the rectilinear ECM frontal gap under equilibrium conditions. The validity of the model, which also applies to radial flow geometries, is confirmed by comparing experimental pressure and gap profiles with theoretical predictions. It is shown that for a given set of operating parameters there is a minimum supply pressure below which no machining is possible. When machining steel with an aqueous NaCl electrolyte the deposition of a black smut (Fe(OH)2) occurs beyond a certain smut-free entrance length, which was experimentally found to be proportional to the inlet gap thickness.

scholarly journals NUMERICAL ANALYSIS OF THE LEVERETT FUNCTION FORM INFLUENCE FOR THE RAPPOPORT - LEAS EQUATION SOLUTIONS

2018 ◽  
pp. 81-88
Author(s):  
I. G. Telegin ◽  
O. B. Bocharov
Keyword(s):  
Relative Phase ◽  
Radial Flow ◽  
Water Saturation ◽  
Capillary Forces ◽  
Immiscible Liquids ◽  
Deformable Porous Medium ◽  
One Dimensional ◽  
Isothermal Case ◽  
Model Equations ◽  
The One

The article deals with the classical mathematical model of filtration of two immiscible liquids in a non-deformable porous medium taking into account capillary forces. It is the Muskat - Leverett model. The model is based on the experimentally determined functions of water saturation - relative phase permeability and the Leverett’s function of capillary pressure. In the article we study numerically the one-dimensional radial flow with a given flow rate of the mixture. In this case, the Muskat - Leverett model equations are reduced to one quasilinear hyperbolic-parabolic equation for water saturation - Rappoport-Leas equation. The article investigates the influence of the representation of capillary forces in porous media of different structures on the behavior of solutions in the isothermal case.

Radial Flow without Swirl between Parallel Discs

1963 ◽  
Vol 14 (2) ◽  
pp. 163-186 ◽  
Author(s):  
P. S. Moller
Keyword(s):  
Reynolds Number ◽  
Radial Flow ◽  
Separation Bubble ◽  
Equations Of Motion ◽  
Pressure Coefficient ◽  
Practical Importance ◽  
Radial Pressure ◽  
Approximate Solutions ◽  
Channel Inlet ◽  
Special Cases

SummaryAn understanding of radial flow between confined boundaries is of practical importance in the design of radial diffusers and air bearings. This study presents a combined experimental and theoretical analysis of radial flow, without swirl, between parallel discs using air at incompressible speeds.Emphasis is placed on the pressure distribution sufficiently far downstream of the channel inlet for the entry conditions to be unimportant. However, a study is also made of the main features of the flow near the inlet, particularly within the annular separation bubble.It is shown, for both turbulent and laminar flow, that a similarity solution is possible only in special cases where certain terms in the equations of motion can be neglected. Approximate solutions are obtained for the turbulent and the laminar radial pressure distributions using an integral momentum method. Both theories agree well with experiment. The critical Reynolds number for reverse transition is found to be approximately the same as that for flow in twodimensional channels and circular pipes. With the flow separating at the channel inlet, it is established that both a suitably chosen, minimum pressure coefficient of the separation bubble and the reattachment distance are functions only of the channel width for a given inlet pipe diameter and are independent of Reynolds number and the diameter of the discs.

Experimental Study on the Secondary Consolidation Properties of Marine Soft

2014 ◽  
Vol 638-640 ◽  
pp. 452-456 ◽  
Author(s):  
Chao Jie Zhang ◽  
Shi Hua Chen ◽  
Guo Qian Liang ◽  
Hai Yun Wei
Keyword(s):  
Experimental Study ◽  
Great Influence ◽  
Test Results ◽  
Loading History ◽  
Coefficient Of Consolidation ◽  
One Dimensional ◽  
Deformation Law ◽  
Subsequent Deformation ◽  
The One ◽  
Previous Loading

Through the one dimensional consolidation of creep test, the paper presents and analyzes the deformation law of reloading under different stress level, the variation of the coefficient of consolidation and the relation between the secondary consolidation deformation and loading history. These test results show that the secondary compression during previous loading has great influence on the subsequent deformation of soil.

Experimental Study on Planar Unidirectional Permeability of Glass Fiber Preforms at Constant Flow Rate

2010 ◽  
Vol 154-155 ◽  
pp. 494-497
Author(s):  
Shi Lin Yan ◽  
Fei Yan ◽  
Zhong Qi Qiu
Keyword(s):  
Experimental Study ◽  
Flow Rate ◽  
Resin Flow ◽  
Constant Flow ◽  
Flow Rates ◽  
One Dimensional ◽  
Constant Flow Rate ◽  
Transfer Molding ◽  
The One ◽  
Fiber Preforms

During the resin flow of Resin Transfer Molding, the permeability of fiber performs is an important parameter, which reflects the interaction between the resin and fiber. In this paper the Darcy’s law was used as the fundamentals to determine the permeability of fiber performs, an experiment installation was designed, and do some experimental study on the one-dimensional permeability of resin in the multilayer fibrous plaids at a constant flow rate. The installation was designed base on condition of different flow rates and different fiber volumes (or porosity), and compared the results of the permeability of different flow rates. Then analyzed the results, and some content conclusions were obtained.

Radial Flow of Compressible Fluids Between Discs

1965 ◽  
Vol 16 (3) ◽  
pp. 282-288
Author(s):  
Tsung Yen Na
Keyword(s):  
Compressible Fluid ◽  
Radial Flow ◽  
Numerical Solutions ◽  
Supersonic Flows ◽  
Compressible Fluids ◽  
One Dimensional ◽  
The One

SummaryNumerical solutions are obtained for the one-dimensional radial flow of a compressible fluid between parallel discs. A general discussion of the variations of pressure, density, velocity and temperature along the radius of the disc is then given. The present investigation covers both subsonic and supersonic flows, a range not previously covered in the literature.

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