An investigation of the analytical boundary method for the determination of transport numbers

1952 ◽  
Vol 48 ◽  
pp. 263 ◽  
Author(s):  
M. Spiro ◽  
H. N. Parton
Keyword(s):  
Transport Numbers ◽  
Boundary Method

scholarly journals The moving boundary method for the determination of transport numbers

1933 ◽  
Vol 140 (840) ◽  
pp. 141-158 ◽  
Keyword(s):  
Experimental Work ◽  
Moving Boundary ◽  
Transport Number ◽  
Experimental Results ◽  
Transport Numbers ◽  
Theoretical Treatment ◽  
Boundary Method ◽  
The Subject ◽  
Dye Solutions

The lack of a simple and fairly complete theoretical treatment of the moving boundary method has been felt in this laboratory in the course of transport number measurements in dye solutions. The results of these measurements are shortly to be published by Dr. C. Robinson and one of us (J. L. M.). In the present paper we shall attempt to develop a theory of the method, of necessity including some previous work, and to explain experimental results in the literature and the aforementioned work on dye solutions. Doubts have been expressed as to the validity of the method, in spite of the convincing experimental work of MacInnes, Smith, Longsworth, and co-workers, to whom we shall frequently have occasion to refer. These attacks on the method, we believe, have arisen from a misunderstanding of the fundamental principles involved, and we shall endeavour to answer them in this paper. In order to avoid confusion, we shall first explain the terminology to be used, which we hope will be adhered to in future communications from ourselves and coworkers. In this paper we confine ourselves to electrolytes (including colloidal electrolytes). The application of the method to colloids will be the subject of a future communication from this laboratory.

scholarly journals Analytical Expressions of Hydro-Seismic Forces on Dams

2018 ◽  
Author(s):  
Abdelmadjid Tadjadit ◽  
Boualem Tiliouine
Keyword(s):  
Viscous Fluid ◽  
Linear Combination ◽  
Upstream Face ◽  
Compressible Viscous Fluid ◽  
Natural Modes ◽  
Boundary Method ◽  
Complete Sets ◽  
Seismic Forces ◽  
Analytical Expressions

Analytical expressions for the determination of hydro-seismic forces acting on a rigid dam with irregular upstream face geometry in presence of a compressible viscous fluid are derived through a linear combination of the natural modes of water in the reservoir based on a boundary method making use of complete sets of complex T-functions.Analytical expressions for the determination of hydro-seismic forces acting on a rigid dam with irregular upstream face geometry in presence of a compressible viscous fluid are derived through a linear combination of the natural modes of water in the reservoir based on a boundary method making use of complete sets of complex T-functions. The formulas obtained for distributions of both shear forces and overturning moments are simple, computationally effective and useful for the preliminary design of dams. They show clearly the separate and combined effects of compressibility and viscosity of water. They also have the advantage of being able to cover a wide range of excitation frequencies even beyond the cut-off frequencies of the natural modes of the reservoir. Key results obtained using the proposed analytical expressions of the hydrodynamic forces are validated using numerical and experimental solutions published for some particular cases available in the specialized literature.

Transport Numbers (Moving Boundary Method)

1968 ◽  
pp. 207-209
Author(s):  
J.M. WILSON ◽  
R.J. NEWCOMBE ◽  
A.R. DENARO ◽  
R.M.W. RICKETT
Keyword(s):  
Moving Boundary ◽  
Transport Numbers ◽  
Boundary Method

Force Distribution With Pose-Dependent Force Boundaries for Redundantly Actuated Cable-Driven Parallel Robots

2016 ◽  
Vol 8 (4) ◽  
Author(s):  
Han Yuan ◽  
Eric Courteille ◽  
Dominique Deblaise
Keyword(s):  
Energy Consumption ◽  
Lower Boundary ◽  
Parallel Robots ◽  
Force Distribution ◽  
Computational Accuracy ◽  
Boundary Method ◽  
Redundantly Actuated ◽  
Cable Forces ◽  
Reducing Energy

This paper addresses the force distribution of redundantly actuated cable-driven parallel robots (CDPRs). A new and efficient method is proposed for the determination of the lower-boundary of cable forces, including the pose-dependent lower-boundaries. In addition, the effect of cable sag is considered in the calculation of the force distribution to improve the computational accuracy. Simulations are made on a 6DOF CDPR driven by eight cables to demonstrate the validity of the proposed method. Results indicate that the pose-dependent lower-boundary method is more efficient than the fixed lower-boundary method in terms of minimizing the motor size and reducing energy consumption.

A novel marker for the determination of transport numbers during anodic barrier oxide growth on aluminium

1991 ◽  
Vol 64 (3) ◽  
pp. 345-353 ◽  
Author(s):  
By K. Shimizu ◽  
K. Kobayashi ◽  
G. E. Thompson ◽  
G. C. Wood
Keyword(s):  
Transport Numbers ◽  
Oxide Growth
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