A Mathematical Model for the Prediction of Unsteady Salinity Intrusion in Estuaries

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ISBN 13 :
Total Pages : 246 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis A Mathematical Model for the Prediction of Unsteady Salinity Intrusion in Estuaries by : M. Llewellyn Thatcher

Download or read book A Mathematical Model for the Prediction of Unsteady Salinity Intrusion in Estuaries written by M. Llewellyn Thatcher and published by . This book was released on 1972 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: The salinity structure of a tidal estuary fed by upstream fresh water sources is an important factor of water quality. In addition, this structure is intimately related to the circulation of the estuary because of density currents induced by the salt-fresh water relation. Previous investigations in two and three dimensions have been limited to extremely simplified geometrical and steady-state assumptions. One dimensional studies have considered the variable area case, but have been limited to descriptive rather than predictive methods because of the difficulty of handling the downstream boundary condition for the one-dimensional salt balance equation and because of the necessity to specify a longitudinal dispersion coefficient based on field data for the estuary being studied. This study presents a predictive numerical model of unsteady salinity intrusion in estuaries by formulating the problem in finite-difference terms using the one-dimensional, tidal time, variable area equations for the conservation of water mass, conservation of momentum and conservation of salt. Tidal time means a time scale of calculation larger than that defining turbulence, but much smaller than a tidal period in order to correctly represent the tidal advection within a tidal period. The tidal dynamic equations are coupled to the conservation of salt equation through a salinity-density relationship, and the ocean boundary condition for salt is formulated in a manner which depends on the direction of flow at the entrance to the estuary. The longitudinal dispersion coefficient has been shown to be proportional to the magnitude of the local, time-varying longitudinal salinity gradient, and this constant of proportionality has been shown to depend on a dimensionless parameter which expresses the degree of vertical stratification of the estuary. This relationship has been established for a wide range of stratification conditions. The mathematical model has been verified using data from the Waterways Experiment Station salinity flume and field data from the Delaware, the Potomac, and the Hudson. By specifying initial conditions, fresh water hydrographs, and tidal elevations at the ocean, it is possible to predict the time-varying salinity using this model.

Unsteady Salinity Intrusion in Estuaries

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Total Pages : 54 pages
Book Rating : 4.3/5 (121 download)

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Book Synopsis Unsteady Salinity Intrusion in Estuaries by : Donald R. F. Harleman

Download or read book Unsteady Salinity Intrusion in Estuaries written by Donald R. F. Harleman and published by . This book was released on 1974 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Prediction of Unsteady Salinity Intrusion in Estuaries

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ISBN 13 :
Total Pages : 128 pages
Book Rating : 4.:/5 (359 download)

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Book Synopsis Prediction of Unsteady Salinity Intrusion in Estuaries by : M. Llewellyn Thatcher

Download or read book Prediction of Unsteady Salinity Intrusion in Estuaries written by M. Llewellyn Thatcher and published by . This book was released on 1972 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foreword: This report is intended as a documentation of the computer program and as a user's manual for the implementation of the mathematical model for the prediction of unsteady salinity intrusion in estuaries. The details of the model development and verification are contained in the following report: "A Mathematical Model for the Prediction of Unsteady Salinity Intrusion in Estuaries" by M. Llewellyn Thatcher and Donald R.F. Harleman, Ralph M. Parsons Laboratory for Water Resources and Hydrodynamics, Technical Report No. 144, February 1972 also published by M.I.T. Sea Grant Project Office as Report No. MITSG 72-7 (index No. 72-307-Ccb)]. The unsteady salinity intrusion model is one-dimensional, although varying degrees of stratification are accounted for in the assumed longitudinal dispersion relationship. This model is a component in two additional studies, one of which is concerned with the two-dimensional aspects of salinity intrusion (i.e. vertical salinity and velocity distributions in estuaries): "Mathematical Simulation of Tidal Time-Averages of Salinity and Velocity Profiles in Estuaries" by John S. Fisher, John D. Ditmars and Arthur T. Ippen, Ralph M. Parsons Laboratory for Water Resources and Hydrodynamics, Technical Report No. 151, July 1972 [also published by M.I.T. Sea Grant Project Office as Report No. MITSG 72-11 (index No. 72-311-Ccb)] The second study is concerned with the development of a model for predicting the transient longitudinal distribution of water quality parameters in estuaries: "Numerical Model for the Prediction of Transient Water Quality in Estuary Networks" by James E. Dailey and Donald R.F. Harleman, Ralph M. Parsons Laboratory for Water Resources and Hydrodynamics, Technical Report No. 158, October 1972 [also published by M.I.T. Sea Grant Project Office as Report No. MITSG 72-15 (index No. 72-315-Ccb)] This user's manual therefore assists in the implementation of the analytical and numerical models listed above.

Prediction of Unsteady Salinity Intrusion in Estuaries

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ISBN 13 :
Total Pages : 98 pages
Book Rating : 4.:/5 (128 download)

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Book Synopsis Prediction of Unsteady Salinity Intrusion in Estuaries by : Donald H Evans

Download or read book Prediction of Unsteady Salinity Intrusion in Estuaries written by Donald H Evans and published by . This book was released on 1972 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Unsteady Salinity Intrusion in Estuaries

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ISBN 13 :
Total Pages : 54 pages
Book Rating : 4.:/5 (359 download)

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Book Synopsis Unsteady Salinity Intrusion in Estuaries by : Donald R. F. Harleman

Download or read book Unsteady Salinity Intrusion in Estuaries written by Donald R. F. Harleman and published by . This book was released on 1974 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Unsteady Salinity Intrusion in Estuaries. Part I. One-Dimensional, Transient Salinity Intrusion with Varying Freshwater Inflow. Part II. Two-Dimensional Analysis of Time-Averaged Salinity and Velocity Profiles

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ISBN 13 :
Total Pages : 45 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Unsteady Salinity Intrusion in Estuaries. Part I. One-Dimensional, Transient Salinity Intrusion with Varying Freshwater Inflow. Part II. Two-Dimensional Analysis of Time-Averaged Salinity and Velocity Profiles by : Donald R. F. Harleman

Download or read book Unsteady Salinity Intrusion in Estuaries. Part I. One-Dimensional, Transient Salinity Intrusion with Varying Freshwater Inflow. Part II. Two-Dimensional Analysis of Time-Averaged Salinity and Velocity Profiles written by Donald R. F. Harleman and published by . This book was released on 1974 with total page 45 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study reported herein is concerned with transient salinity intrusion and is presented in two parts. In Part I a one-dimensional numerical model is developed for the prediction of transient salinity intrusion under conditions of varying freshwater inflow. The model couples the one-dimensional continuity and momentum equation for unsteady tidal motion in a variable area estuary with the mass transport equation for salinity. The numerical model incorporates variable estuary geometry and roughness, time-dependent boundary conditions of tidal range at the ocean end, and variable freshwater inflow at the head of the estuary and from tributaries along the estuary. In Part II a two-dimensional analytical model is developed for the prediction of vertical distributions of velocity and salinity, averaged over a tidal period. The results of the numerical model described in Part I are used to determine the longitudinal salinity gradient which, for partially and well-mixed estuaries, is assumed to be independent of depth. (Modified author abstract).

Longitudinal Dispersion and Unsteady Salinity Intrusion in Estuaries

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (242 download)

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Book Synopsis Longitudinal Dispersion and Unsteady Salinity Intrusion in Estuaries by : Donald R. F. Harleman

Download or read book Longitudinal Dispersion and Unsteady Salinity Intrusion in Estuaries written by Donald R. F. Harleman and published by . This book was released on 1974 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Long Term Prediction of Salinity Intrusion in Estuaries

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ISBN 13 :
Total Pages : 62 pages
Book Rating : 4.:/5 (359 download)

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Book Synopsis Long Term Prediction of Salinity Intrusion in Estuaries by : J. F. Coles

Download or read book Long Term Prediction of Salinity Intrusion in Estuaries written by J. F. Coles and published by . This book was released on 1979 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Unsteady Salinity Intrusion in Estuaries

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ISBN 13 :
Total Pages : 35 pages
Book Rating : 4.:/5 (111 download)

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Book Synopsis Unsteady Salinity Intrusion in Estuaries by : United States. Army. Corps of Engineers. Committee on Tidal Hydraulics

Download or read book Unsteady Salinity Intrusion in Estuaries written by United States. Army. Corps of Engineers. Committee on Tidal Hydraulics and published by . This book was released on 1974 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Unsteady Salinity Intrusion in Estuaries [Parts I and II]

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ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (122 download)

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Book Synopsis Unsteady Salinity Intrusion in Estuaries [Parts I and II] by : D. R. F. Harleman

Download or read book Unsteady Salinity Intrusion in Estuaries [Parts I and II] written by D. R. F. Harleman and published by . This book was released on 1974 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Technical Bulletin

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ISBN 13 :
Total Pages : 418 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Technical Bulletin by :

Download or read book Technical Bulletin written by and published by . This book was released on 1954 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt:

One-dimensional Analysis of Salinity Intrusion in Estuaries

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ISBN 13 :
Total Pages : 130 pages
Book Rating : 4.3/5 (126 download)

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Book Synopsis One-dimensional Analysis of Salinity Intrusion in Estuaries by : Arthur T. Ippen

Download or read book One-dimensional Analysis of Salinity Intrusion in Estuaries written by Arthur T. Ippen and published by . This book was released on 1961 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: An experimental and analytical study of the basic factors which determine the instantaneous longitudinal distribution of salinity in a partially mixed estuary of constant section is presented. The mass-transfer equation is solved in two parts: (a) the quasi-steady-state convective-diffusion problem for an observer moving with the tidal velocity, and (b) the cyclic translation of saline water due to the tidal velocity. In the steady-state portion the apparent longitudinal diffusion coefficient is a function of the turbulence induced by the tide and of the internal circulations induced by the density difference. An expression is developed for the intrusion length as a function of the estuary length, mean depth, tidal amplitude and period, fresh-water discharge, ocean salinity, and estuary roughness. A stratification number is defined which expresses the degree of stratification or mixing in an estuary. (Author).

Estuarine Research

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ISBN 13 :
Total Pages : 72 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Estuarine Research by :

Download or read book Estuarine Research written by and published by . This book was released on 1978 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Prediction of Salinity Intrusion in Mixed Estuaries

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ISBN 13 :
Total Pages : 142 pages
Book Rating : 4.:/5 (51 download)

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Book Synopsis Prediction of Salinity Intrusion in Mixed Estuaries by : Xianglin Lu

Download or read book Prediction of Salinity Intrusion in Mixed Estuaries written by Xianglin Lu and published by . This book was released on 1996 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Modelling of Estuarine Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642464165
Total Pages : 277 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Mathematical Modelling of Estuarine Physics by : Jürgen Sündermann

Download or read book Mathematical Modelling of Estuarine Physics written by Jürgen Sündermann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Honor of Prof. Walter Hansen on Occasion of his 7o. Birthday

Hydrodynamics and Transport for Water Quality Modeling

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Publisher : CRC Press
ISBN 13 : 135143988X
Total Pages : 816 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Hydrodynamics and Transport for Water Quality Modeling by : James L. Martin

Download or read book Hydrodynamics and Transport for Water Quality Modeling written by James L. Martin and published by CRC Press. This book was released on 2018-05-04 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hydrodynamics and Transport for Water Quality Modeling presents a complete overview of current methods used to describe or predict transport in aquatic systems, with special emphasis on water quality modeling. The book features detailed descriptions of each method, supported by sample applications and case studies drawn from the authors' years of experience in the field. Each chapter examines a variety of modeling approaches, from simple to complex. This unique text/reference offers a wealth of information previously unavailable from a single source. The book begins with an overview of basic principles, and an introduction to the measurement and analysis of flow. The following section focuses on rivers and streams, including model complexity and data requirements, methods for estimating mixing, hydrologic routing methods, and unsteady flow modeling. The third section considers lakes and reservoirs, and discusses stratification and temperature modeling, mixing methods, reservoir routing and water balances, and dynamic modeling using one-, two-, and three-dimensional models. The book concludes with a section on estuaries, containing topics such as origins and classification, tides, mixing methods, tidally averaged estuary models, and dynamic modeling. Over 250 figures support the text. This is a valuable guide for students and practicing modelers who do not have extensive backgrounds in fluid dynamics.

Committee on Tidal Hydraulics Report

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ISBN 13 :
Total Pages : 582 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Committee on Tidal Hydraulics Report by :

Download or read book Committee on Tidal Hydraulics Report written by and published by . This book was released on 1968 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: