Mathematical model of a double-coil inductive transducer for measuring electrical conductivity

2007 ◽  
Vol 78 (8) ◽  
pp. 084704 ◽  
Author(s):  
Jozef Kusmierz
Keyword(s):  
Mathematical Model ◽  
Electrical Conductivity ◽  
Inductive Transducer

scholarly journals A model for predicting changes in the electrical conductivity, practical salinity, and absolute salinity of seawater due to variations in relative chemical composition

Ocean Science ◽  
2010 ◽  
Vol 6 (1) ◽  
pp. 361-378 ◽  
Author(s):  
R. Pawlowicz
Keyword(s):  
Mathematical Model ◽  
Electrical Conductivity ◽  
Temporal Variations ◽  
Total Alkalinity ◽  
Biogeochemical Processes ◽  
Model Calculations ◽  
The North ◽  
Historical Continuity ◽  
The Difference ◽  
Definition Of

Abstract. Salinity determination in seawater has been carried out for almost 30 years using the Practical Salinity Scale 1978. However, the numerical value of so-called practical salinity, computed from electrical conductivity, differs slightly from the true or absolute salinity, defined as the mass of dissolved solids per unit mass of seawater. The difference arises because more recent knowledge about the composition of seawater is not reflected in the definition of practical salinity, which was chosen to maintain historical continuity with previous measures, and because of spatial and temporal variations in the relative composition of seawater. Accounting for these spatial variations in density calculations requires the calculation of a correction factor δSA, which is known to range from 0 to 0.03 g kg−1 in the world oceans. Here a mathematical model relating compositional perturbations to δSA is developed, by combining a chemical model for the composition of seawater with a mathematical model for predicting the conductivity of multi-component aqueous solutions. Model calculations for this estimate of δSA, denoted δSRsoln, generally agree with estimates of δSA based on fits to direct density measurements, denoted δSRdens, and show that biogeochemical perturbations affect conductivity only weakly. However, small systematic differences between model and density-based estimates remain. These may arise for several reasons, including uncertainty about the biogeochemical processes involved in the increase in Total Alkalinity in the North Pacific, uncertainty in the carbon content of IAPSO standard seawater, and uncertainty about the haline contraction coefficient for the constituents involved in biogeochemical processes. This model may then be important in constraining these processes, as well as in future efforts to improve parameterizations for δSA.

Reply to "Comment on 'Simple Mathematical Model for the Electrical Conductivity of Highly Porous Ceramics'"

1996 ◽  
Vol 79 (11) ◽  
pp. 2999-2999
Author(s):  
Junichiro Mizusaki ◽  
Soji Tsuchiya ◽  
Katsunori Waragai ◽  
Hiroaki Tagawa ◽  
Yoshihide Arai ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Electrical Conductivity ◽  
Porous Ceramics ◽  
Simple Mathematical Model ◽  
Highly Porous

scholarly journals Mathematical Modelling of Electric and Magnetic Fields of Main Pipelines Cathodic Protection in Electrically Anisotropic Media

2021 ◽  
Vol 225 ◽  
pp. 04002
Author(s):  
Vladimir Krizsky ◽  
Pavel Aleksandrov ◽  
Alexey Kovalskii ◽  
Sergey Viktorov
Keyword(s):  
Mathematical Model ◽  
Electrical Conductivity ◽  
Magnetic Fields ◽  
Electrochemical Corrosion ◽  
Azimuth Angle ◽  
Specific Electrical Conductivity ◽  
Main Pipeline ◽  
Main Pipelines ◽  
Electric And Magnetic Fields ◽  
Angle Of Rotation

A mathematical model is constructed and computational experiments are performed to study the effect of anisotropy of the specific electrical conductivity of the soil on the distribution of electric and magnetic fields generated by cathodic electrochemical corrosion protection stations of the underground main pipeline (MP). The variation of electric and magnetic fields depending on the azimuth angle of rotation of the specific electrical conductivity tensor of the soil containing the pipeline is analysed.

Simple Mathematical Model for the Electrical Conductivity of Highly Porous Ceramics

1996 ◽  
Vol 79 (1) ◽  
pp. 109-113 ◽  
Author(s):  
Junichiro Mizusaki ◽  
Katsunori Waragai ◽  
Soji Tsuchiya ◽  
Hiroaki Tagawa ◽  
Yoshihide Arai ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Electrical Conductivity ◽  
Porous Ceramics ◽  
Simple Mathematical Model ◽  
Highly Porous

scholarly journals Comparative Analysis of Methods for Mathematical Modeling of Specific Electrical Conductivity of Plasma in the Channel of an Electric Discharge in Water

2021 ◽  
Vol 57 (4) ◽  
pp. 24-34
Author(s):  
V.M. Kosenkov ◽  
Keyword(s):  
Mathematical Modeling ◽  
Experimental Data ◽  
Mathematical Model ◽  
Electrical Conductivity ◽  
Comparative Analysis ◽  
Electric Discharge ◽  
Specific Electrical Conductivity ◽  
Empirical Function ◽  
Electric Discharge In Water

In the present work, a comparative analysis of three methods for determining the specific electrical conductivity of the plasma formed in the channel of an electric discharge in water is carried out for its mathematical modeling. The parameters of the empirical function are determined, at which the results of mathematical modeling are consistent with the experimental data. The necessity of using empirical functions in calculating the specific electrical conductivity of plasma has been substantiated. The obtained ratios made it possible to significantly increase the adequacy of the previously developed mathematical model of the physical discharge processes in water and to expand the range of parameters in which it can be used.

scholarly journals Use of threshold electrolyte concentration analysis to determine salinity and sodicity limit of irrigation water

2014 ◽  
Vol 18 (suppl) ◽  
pp. 53-58 ◽  
Author(s):  
Heitor R. de Menezes ◽  
Brivaldo G. de Almeida ◽  
Ceres D. G. C. de Almeida ◽  
John M. Bennett ◽  
Emanuelle M. da Silva ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Electrical Conductivity ◽  
Irrigation Water ◽  
Soil Chemistry ◽  
Electrolyte Concentration ◽  
Clay Content ◽  
Infiltration Rate ◽  
Sodium Adsorption Ratio ◽  
Time Interval ◽  
Pressure Potential

ABSTRACT This research studied threshold electrolyte concentration (TEC) of irrigation water and its effect on the infiltration rate of two contrasting soils from Pernambuco state, Brazil. The experiment was conducted in the Soil Chemistry and Salinity Laboratory of Federal Rural University of Pernambuco. Each soil was packed in five Buchner funnels, where one funnel from each soil was submitted to treatment with solution of electrical conductivity (EC) of 0.5, 1.0, 2.0, 4.0 or 8.0 dS m-1. For each funnel containing soil, an increasing ratio of NaCl to CaCl2 was applied in a treatment solution to achieve 10 increasing values of sodium adsorption ratio (SAR) from 0 to 100. These solutions were applied through a Mariotte bottle, with a constant hydraulic head of ~2 cm (pressure potential). After a liter of solution had drained, in the flux was collected for a known time interval, until steady state was reached. Darcy’s equation was used to calculate saturated hydraulic conductivity (Ksat) and a mathematical model used to calculate the TEC as a 20% reduction in Ksat. By increasing SAR similar behavior was noted between the two soils, whereby Ksat decreased, although the relativedecrease in Ksat was greater for SAR of 100 in the soil with higher clay content.

scholarly journals Development of a Two-Temperature Mathematical Model of Plasma Processes in a Discharge Chamber of a Multi-chamber Arrester Operating in Conditions of Mountain Areas

2019 ◽  
Vol 6 (2) ◽  
pp. 135-139
Author(s):  
V. Frolov ◽  
D. Ivanov ◽  
A. Sivaev ◽  
A. Chusov
Keyword(s):  
Mathematical Model ◽  
Electrical Conductivity ◽  
Transport Properties ◽  
Discharge Chamber ◽  
Discharge Voltage ◽  
Temperature Model ◽  
Mountain Areas ◽  
Reduced Pressure ◽  
Thermodynamic And Transport Properties ◽  
Two Temperature

This article is devoted to a development of a mathematical model of plasma processes in a discharge chamber of a multi-chamber arrester operating under reduced pressure. The results obtained using this model will make it possible to develop recommendations on modifying the design of multi-chamber arresters for operation in conditions of mountain areas.<br />A composition, thermodynamic and transport properties of plasma for the two-temperature model were calculated on the basis of the data on the materials of the discharge chamber and on the basis of the experiments performed earlier.<br />The paper presents the results of calculations i.e. distributions of discharge voltage and electrical conductivity on time at various pressures. A comparison of obtained results was carried out.

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