Catalogue Search | MBRL
Are you sure you want to remove the book from the shelf?
{{itemTitle}}
3,083
result(s) for
"Hydraulics Mathematics."
Sort by:
Applied mathematics in hydraulic engineering : an introduction to nonlinear differential equations
This is a teaching guide and reference to treating nonlinear mathematical problems in hydraulic, hydrologic and coastal engineering.
Book
Entropy theory and its application in environmental and water engineering
Entropy Theory and its Application in Environmental and Water Engineering responds to the need for a book that deals with basic concepts of entropy theory from a hydrologic and water engineering perspective and then for a book that deals with applications of these concepts to a range of water engineering problems. The range of applications of entropy is constantly expanding and new areas finding a use for the theory are continually emerging. The applications of concepts and techniques vary across different subject areas and this book aims to relate them directly to practical problems of environmental and water engineering.
The book presents and explains the Principle of Maximum Entropy (POME) and the Principle of Minimum Cross Entropy (POMCE) and their applications to different types of probability distributions. Spatial and inverse spatial entropy are important for urban planning and are presented with clarity. Maximum entropy spectral analysis and minimum cross entropy spectral analysis are powerful techniques for addressing a variety of problems faced by environmental and water scientists and engineers and are described here with illustrative examples.
Giving a thorough introduction to the use of entropy to measure the unpredictability in environmental and water systems this book will add an essential statistical method to the toolkit of postgraduates, researchers and academic hydrologists, water resource managers, environmental scientists and engineers. It will also offer a valuable resource for professionals in the same areas, governmental organizations, private companies as well as students in earth sciences, civil and agricultural engineering, and agricultural and rangeland sciences.
This book:
* Provides a thorough introduction to entropy for beginners and more experienced users
* Uses numerous examples to illustrate the applications of the theoretical principles
* Allows the reader to apply entropy theory to the solution of practical problems
* Assumes minimal existing mathematical knowledge
* Discusses the theory and its various aspects in both univariate and bivariate cases
* Covers newly expanding areas including neural networks from an entropy perspective and future developments.
eBook
Computational Hydraulics : Numerical Methods and Modelling
Computational Hydraulics introduces the concept of modeling and the contribution of numerical methods and numerical analysis to modeling. It provides a concise and comprehensive description of the basic hydraulic principles, and the problems addressed by these principles in the aquatic environment. Flow equations, numerical and analytical solutions are included. The necessary steps for building and applying numerical methods in hydraulics comprise the core of the book and this is followed by a report of different example applications of computational hydraulics: river training effects on flood propagation, water quality modelling of lakes and coastal applications. The theory and exercises included in the book promote learning of concepts within academic environments. Sample codes are made available online for purchasers of the book. Computational Hydraulics is intended for under-graduate and graduate students, researchers, members of governmental and non-governmental agencies and professionals involved in management of the water related problems.
eBook
Modelling for Coastal Hydraulics and Engineering
Mechanistic models are often employed to simulate processes in coastal environments. However, these predictive tools are highly specialized, involve certain assumptions and limitations, and can be manipulated only by experienced engineers who have a thorough understanding of the underlying principles. This results in significant constraints on thei
eBook
Introduction to the mathematical theory of compressible flow
This book provides a comprehensive introduction to the mathematical theory of compressible flow, describing both inviscid and viscous compressible flow, which are governed by the Euler and the Navier-Stokes equations respectively. The method of presentation allows readers with different backgrounds to focus on various modules of the material, either in part or more fully. Chapters include detailed heuristic arguments providing motivation for technical aspects that are rigorously presented later on in the text; for instance, the existence theory for steady and unsteady Navier-Stokes equations of isentropic compressible flow, and two-by-two systems of Euler equations in one space dimension. These parts are presented in a textbook style with auxiliary material in supporting sections and appendices. The book includes a rich index and extensive bibliography, thus allowing for quick orientation among the vast collection of literature on the mathematical theory of compressible flow, as well as in the book itself.
eBook
Fault-tolerant control of a hydraulic servo actuator via adaptive dynamic programming
The fault-tolerant control problem of a hydraulic servo actuator in the presence of actuator faults is studied utilizing adaptive dynamic programming. This task is challenging because of unknown system dynamics, uncertain disturbances or unmeasurable system states of such highly nonlinear systems in real applications. The aim is to achieve asymptotic tracking and actuator faults compensation by minimizing some predefined performance index. The discrete-time algebraic Riccati equation is iteratively solved by the adaptive dynamic programming approach. For practical reasons, adaptive dynamic programming techniques and fault compensation are integrated to iteratively compute an approximated optimal fault-tolerant control using real-time input/output data without any a priori knowledge of the system dynamics and unmeasurable states. As a result, a fault-tolerant control of hydraulic servo actuator is then designed based on adaptive dynamic programming via output feedback. Also, the convergence analysis of a data-driven fault-tolerant control is theoretically shown as well. Finally, intensive simulation results are given to prove the validity and merits of the developed data-driven fault-tolerant control strategy.
Journal Article
Analytical solutions for steady groundwater flow through aquifer folds and faults
Deformations of the earth’s crust create tortuous paths for groundwater flow, altering pressure distributions and flow lines. A solution for steady groundwater flow through a deformed aquifer is derived by applying the singular point method using a rectangular reference plane. The singular point method is used to develop conformal mappings with complex geometries using basic principles of groundwater mechanics including superposition, the method of images, and stagnation point analysis. The derived solution contains three parameters that can be chosen to simulate flow through a variety of deformed aquifers, including flow through a normal fault with a
90
∘
dip, flow through a fold, and flow through a relay ramp.
Journal Article
Adjacent mode resonance of a hydraulic pipe system consisting of parallel pipes coupled at middle points
The coupling vibration of a hydraulic pipe system consisting of two pipes is studied. The pipes are installed in parallel and fixed at their ends, and are restrained by clips to one bracket at their middle points. The pipe subjected to the basement excitation at the left end is named as the active pipe, while the pipe without excitation is called the passive pipe. The clips between the two pipes are the bridge for the vibration energy. The adjacent natural frequencies will enhance the vibration coupling. The governing equation of the coupled system is deduced by the generalized Hamilton principle, and is discretized to the modal space. The modal correction is used during the discretization. The investigation on the natural characters indicates that the adjacent natural frequencies can be adjusted by the stiffness of the two clips and bracket. The harmonic balance method (HBM) is used to study the responses in the adjacent natural frequency region. The results show that the vibration energy transmits from the active pipe to the passive pipe swimmingly via the clips together with a flexible bracket, while the locations of them are not node points. The adjacent natural frequencies may arouse wide resonance curves with two peaks for both pipes. The stiffness of the clip and bracket can release the vibration coupling. It is suggested that the stiffness of the clip on the passive pipe should be weak and the bracket should be strong enough. In this way, the vibration energy is reflected by the almost rigid bracket, and is hard to transfer to the passive pipe via a soft clip. The best choice is to set the clips at the pipe node points. The current work gives some suggestions for weakening the coupled vibration during the dynamic design of a coupled hydraulic pipe system.
Journal Article