The calculation of potentials in cuboidal tanks that are being filled
with charge liquids is discussed. First, the relationship between
the streaming current at the inlet and the total charge in the tank
is considered, then the relationship between the total charge and
the potential on the liquid surface. The role of the liquid/vapor
interface in inhibiting chage relaxation is examined and it is shown
that for most practical tank shapes the lack of charge transfer across
this interface increases the maximum potential by only about 12\%.
Previous analyses using one- and two-dimensional models have suggested
that the interface could have a greater influence, but these overemphasise
the effect in real, three-dimensional tanks. The relaxation of charge
could also be inhibited by slow charge transfer reactions at the
interface between the liquid and the tank wall. It is shown that
slow surface reactions have little influence on the potentials in
a tank containing a quiescent liquid but may increase potentials
significantly if the liquid is turbulent. The tank potentials are
calculated from the charges using the Carruthers and Wigley expressions.
Although the method of calculating potentials is not new, there have
been no systematic presentations of results that give a practical
feel for how the potentials vary with tank shape. This paper gives
enough examples to provide such a feel and also gives simple expressions
for calculating potentials in some special cases.
%0 Journal Article
%1 Walmsley:1991
%A Walmsley, H. L.
%D 1991
%J Journal of Electrostatics
%K imported
%N 3
%P 201--226
%R http://dx.doi.org/10.1016/0304-3886(91)90016-9
%T The calculation of the electrostatic potentials that occur when tanks
are filled with charged liquids
%V 26
%X The calculation of potentials in cuboidal tanks that are being filled
with charge liquids is discussed. First, the relationship between
the streaming current at the inlet and the total charge in the tank
is considered, then the relationship between the total charge and
the potential on the liquid surface. The role of the liquid/vapor
interface in inhibiting chage relaxation is examined and it is shown
that for most practical tank shapes the lack of charge transfer across
this interface increases the maximum potential by only about 12\%.
Previous analyses using one- and two-dimensional models have suggested
that the interface could have a greater influence, but these overemphasise
the effect in real, three-dimensional tanks. The relaxation of charge
could also be inhibited by slow charge transfer reactions at the
interface between the liquid and the tank wall. It is shown that
slow surface reactions have little influence on the potentials in
a tank containing a quiescent liquid but may increase potentials
significantly if the liquid is turbulent. The tank potentials are
calculated from the charges using the Carruthers and Wigley expressions.
Although the method of calculating potentials is not new, there have
been no systematic presentations of results that give a practical
feel for how the potentials vary with tank shape. This paper gives
enough examples to provide such a feel and also gives simple expressions
for calculating potentials in some special cases.
@article{Walmsley:1991,
abstract = {The calculation of potentials in cuboidal tanks that are being filled
with charge liquids is discussed. First, the relationship between
the streaming current at the inlet and the total charge in the tank
is considered, then the relationship between the total charge and
the potential on the liquid surface. The role of the liquid/vapor
interface in inhibiting chage relaxation is examined and it is shown
that for most practical tank shapes the lack of charge transfer across
this interface increases the maximum potential by only about 12{\%}.
Previous analyses using one- and two-dimensional models have suggested
that the interface could have a greater influence, but these overemphasise
the effect in real, three-dimensional tanks. The relaxation of charge
could also be inhibited by slow charge transfer reactions at the
interface between the liquid and the tank wall. It is shown that
slow surface reactions have little influence on the potentials in
a tank containing a quiescent liquid but may increase potentials
significantly if the liquid is turbulent. The tank potentials are
calculated from the charges using the Carruthers and Wigley expressions.
Although the method of calculating potentials is not new, there have
been no systematic presentations of results that give a practical
feel for how the potentials vary with tank shape. This paper gives
enough examples to provide such a feel and also gives simple expressions
for calculating potentials in some special cases.},
added-at = {2010-01-05T23:12:10.000+0100},
author = {Walmsley, H. L.},
biburl = {https://www.bibsonomy.org/bibtex/24226541e78b2106110fd3cd4cbc418fd/sjp},
doi = {http://dx.doi.org/10.1016/0304-3886(91)90016-9},
hazindex = {3.3.33},
interhash = {b99e1dc4f003bcea76d51a67a3801689},
intrahash = {4226541e78b2106110fd3cd4cbc418fd},
journal = {Journal of Electrostatics},
keywords = {imported},
month = {November},
number = 3,
pages = {201--226},
timestamp = {2010-01-19T17:39:44.000+0100},
title = {The calculation of the electrostatic potentials that occur when tanks
are filled with charged liquids},
volume = 26,
year = 1991
}