A Simple Two-Dimensional Electrical Analog Model for Wind-Driven Circulation in the Gulf of St. Lawrence

1966 ◽  
Vol 23 (9) ◽  
pp. 1411-1438 ◽  
Author(s):  
B. L. Blackford
Keyword(s):  
Mathematical Model ◽  
Pressure Gradients ◽  
Two Dimensional ◽  
Analog Model ◽  
Analog Simulation ◽  
Electrical Analog ◽  
Horizontal Pressure ◽  
Excitation Force ◽  
Comparison Of The Results

A mathematical model of water circulation in an enclosed basin was examined, taking into account the effects of vertical friction, Coriolis force, and horizontal pressure gradients. Wind stress at the free surface was the only excitation force taken into account. The resulting vorticity equation was applied to the Gulf of St. Lawrence by using an electrical analog simulation technique. Solutions were obtained for two situations: one in which the circulation was vertically averaged and another which showed the circulation at several depths. Comparison of the results with broad features of the Gulf circulation derived from synoptic surveys suggested that the wind plays an important role in producing the long-term circulation. The model did not duplicate all of the features of the long-term circulation, but suggested several phenomena for further direct study.

SALINITY BUILD-UP DUE TO BRINE DISCHARGES INTO SHALLOW COASTAL WATERS

2009 ◽  
Vol 23 (03) ◽  
pp. 541-544 ◽  
Author(s):  
DONGDONG SHAO ◽  
ADRIAN WING-KEUNG LAW
Keyword(s):  
Mathematical Model ◽  
Coastal Waters ◽  
Two Dimensional ◽  
Longshore Current ◽  
Source Condition ◽  
Continuous Point ◽  
Characteristic Features ◽  
Shallow Coastal Waters ◽  
Transient And Steady State

A two-dimensional mathematical model simulating the long-term build-up of salinity around the brine outfall is developed in this paper. A flat seabed and steady longshore current are assumed as a first step towards modelling the actual scenario. Transient and steady-state analytical solutions for continuous point source condition are derived. These solutions are then applied to assess shoreline/offshore discharge. Characteristic features such as the temporal buildup of salinity excess and the variation of the shoreline salinity with respect to time and outfall location are investigated. The effect of the advection-to-diffusion ratio ν in the modelling results is also discussed.

scholarly journals Two-dimensional mathematical model of autowave process in thin surface layer of liquid dispersed nanosystem (magnetic fluid)

2021 ◽  
Vol 2131 (2) ◽  
pp. 022012
Author(s):  
V Chekanov ◽  
A Kovalenko ◽  
E N Diskaeva ◽  
E Kirillova
Keyword(s):  
Mathematical Model ◽  
Magnetic Fluid ◽  
Process Modeling ◽  
Comsol Multiphysics ◽  
System Of Equations ◽  
Two Dimensional ◽  
Electrode Layer ◽  
Autowave Process ◽  
Comparison Of The Results ◽  
The Mathematical Model

Abstract In this work, a two-dimensional mathematical model of an autowave process taking place in a thin near-electrode layer of a magnetic fluid is constructed. The model is represented by a boundary value problem, which consists of a solution domain, a system of equations, initial and boundary conditions. The mathematical model is implemented in the COMSOL Multiphysics physical process modeling system. Comparison of the results of the numerical solution with experimental data prove the adequacy of the developed model.

Two Dimensional Unsteady State Mathematical Model for dispersion of Chlorine in Water in a Channel

2011 ◽  
Vol 3 (8) ◽  
pp. 503-505
Author(s):  
Jaipal Jaipal ◽  
◽  
Rakesh Chandra Bhadula ◽  
V. N Kala V. N Kala
Keyword(s):  
Mathematical Model ◽  
Two Dimensional ◽  
Unsteady State

Modelling of Moisture Movement in Wood during Outdoor Storage

2001 ◽  
Vol 6 (2) ◽  
pp. 3-14 ◽  
Author(s):  
R. Baronas ◽  
F. Ivanauskas ◽  
I. Juodeikienė ◽  
A. Kajalavičius
Keyword(s):  
Experimental Data ◽  
Finite Difference ◽  
Climatic Conditions ◽  
Two Dimensional ◽  
Moisture Movement ◽  
Finite Difference Technique ◽  
Long Term Storage ◽  
Space Formulation ◽  
Term Storage

A model of moisture movement in wood is presented in this paper in a two-dimensional-in-space formulation. The finite-difference technique has been used in order to obtain the solution of the problem. The model was applied to predict the moisture content in sawn boards from pine during long term storage under outdoor climatic conditions. The satisfactory agreement between the numerical solution and experimental data was obtained.

Application of the method of mathematical modeling for forecasting channel deformations at the underwater crossing of the main pipeline

2020 ◽  
Vol 10 (6) ◽  
pp. 599-609
Author(s):  
Valery А. Gruzdev ◽  
◽  
Georgy V. Mosolov ◽  
Ekaterina A. Sabayda ◽  
◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Roughness Coefficient ◽  
Computational Domain ◽  
Channel Deformations ◽  
Geological Surveys ◽  
Kuban River ◽  
The Stability ◽  
Protective Structures

In order to determine the possibility of using the method of mathematical modeling for making long-term forecasts of channel deformations of trunk line underwater crossing (TLUC) through water obstacles, a methodology for performing and analyzing the results of mathematical modeling of channel deformations in the TLUC zone across the Kuban River is considered. Within the framework of the work, the following tasks were solved: 1) the format and composition of the initial data necessary for mathematical modeling were determined; 2) the procedure for assigning the boundaries of the computational domain of the model was considered, the computational domain was broken down into the computational grid, the zoning of the computational domain was performed by the value of the roughness coefficient; 3) the analysis of the results of modeling the water flow was carried out without taking the bottom deformations into account, as well as modeling the bottom deformations, the specifics of the verification and calibration calculations were determined to build a reliable mathematical model; 4) considered the possibility of using the method of mathematical modeling to check the stability of the bottom in the area of TLUC in the presence of man-made dumping or protective structure. It has been established that modeling the flow hydraulics and structure of currents, making short-term forecasts of local high-altitude reshaping of the bottom, determining the tendencies of erosion and accumulation of sediments upstream and downstream of protective structures are applicable for predicting channel deformations in the zone of the TLUC. In all these cases, it is mandatory to have materials from engineering-hydro-meteorological and engineering-geological surveys in an amount sufficient to compile a reliable mathematical model.

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