Dynamics Of Liquid Sloshing In Horizontal Cylindrical Road Containers
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Dynamics Of Liquid Sloshing In Horizontal Cylindrical Road Containers
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Author : G. Popov
language : en
Publisher:
Release Date : 1993
Dynamics Of Liquid Sloshing In Horizontal Cylindrical Road Containers written by G. Popov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.
Dynamic Liquid Slosh In Moving Containers
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Author : Amir Kolaei
language : en
Publisher:
Release Date : 2015
Dynamic Liquid Slosh In Moving Containers written by Amir Kolaei and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.
Liquid sloshing is known to strongly influence the directional dynamics and safety performance of highway tank vehicles in a highly adverse manner. Hydrodynamic forces and moments arising from liquid cargo oscillations in the tank under steering and/or braking maneuvers reduce the stability limit and controllability of the partially filled tank vehicles. While the transient fluid slosh within moving containers has been widely investigated, interactions between the sloshing cargo and the vehicle system dynamics have been addressed in only a few studies due to associated challenges. Furthermore, roll stability of heavy tank vehicles have been extensively studied in the absence of transient slosh-induced forces and moments. This dissertation research aims at exploring the fluid slosh in moving containers through analytical methods and developing efficient models for simulating interactions of fluid slosh and vehicle dynamics. A comprehensive review of relevant studies reporting tank trucks accident data, tank design standards, and analysis methods of liquid sloshing in moving containers is initially performed and briefly summarized. The literature review provides not only the essential knowledge for developing an efficient method of analysis, but also demonstrates the needs for addressing limitations in the current standards so as to include effects of liquid sloshing dynamics in road tankers. An analytical model of two-dimensional fluid slosh in horizontal cylindrical tanks subject to a lateral excitation is initially formulated assuming potential flows and linearized free-surface boundary. For this purpose, the fluid domain in the Cartesian coordinates is transformed to the bipolar coordinates, where the Laplace equation could be solved using separation of variables. The resulting hydrodynamic pressure, free-surface elevation, and slosh force and roll moment are compared with the reported experimental and numerical results to illustrate the range of applicability and limitations of the linear slosh theory. The results suggest that the linear theory can yield reasonably accurate predictions of non-resonant lateral slosh in liquid transporting vehicles with significantly less computational effort than the CFD models. A multimodal model of fluid slosh is subsequently developed to study the effect of tank cross-section on transient lateral slosh. Natural frequencies and modes of liquid slosh in tanks of different cross-sections are obtained using a variational Ritz method, which are implemented into the multimodal model. The effect of transient liquid slosh and tank cross-section on rollover stability limits of a tank vehicle is also investigated by integrating the fluid slosh model into a roll plane model of the suspended tank vehicle. The results are presented for four different tank cross-sections: circular; elliptical; modified-oval; and Reuleaux-triangle. The results show that a tank cross-section with lower overall center of mass and lower critical slosh length could yield enhanced roll stability limit under medium- and high-fill conditions. The multimodal method is also employed to investigate the effect of partial longitudinal baffles on the transient lateral slosh. Natural slosh frequencies and modes are computed using a boundary integral solution of the Laplace equation. The computational efficiency is significantly improved by reducing the generalized eigenvalue problem to a standard one involving only the velocity potentials of the elements on the half free-surface length. Damping due to the baffles is estimated from the energy dissipation rate. The results are presented for different designs/lengths of longitudinal baffles, namely, top-mounted; bottom-mounted; and center-mounted baffles. It is shown that the multimodal method yields computationally efficient solutions of liquid slosh within moving baffled containers. The results suggest that a baffle is most effective and efficient when it pierces the free-surface and partly submerged in the liquid. A three-dimensional linear slosh model is further developed to study fluid motions under simultaneously applied lateral and longitudinal excitations, characterizing braking-in-a-turn maneuver, using the multimodal method. Three-dimensional Laplace equation is initially reduced to a two-dimensional Helmholtz equation using separation of variables. A higher order boundary integral solution of the Helmholtz equation is then formulated to compute natural slosh frequencies and modes in a horizontal cylindrical tank of arbitrary cross-section. The results obtained for a circular tank suggested rapid convergence of the natural slosh frequencies and hydrodynamic coefficients. The slosh forces and moments are also computed from the nonlinear analysis of liquid slosh in a tank under various lateral/longitudinal accelerations and fill ratios using the FLUENT software. Comparisons of the results obtained from the linear and nonlinear analyses revealed that the linear slosh theory yields reasonably accurate predictions of the peak slosh forces and moments under lateral/longitudinal accelerations of steady magnitudes of up to 0.3g/0.2g for a tank of aspect ratio of 2.4.
Liquid Sloshing Dynamics
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Author : Raouf A. Ibrahim
language : en
Publisher: Cambridge University Press
Release Date : 2005-05-19
Liquid Sloshing Dynamics written by Raouf A. Ibrahim and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05-19 with Technology & Engineering categories.
The problem of liquid sloshing in moving or stationary containers remains of great concern to aerospace, civil, and nuclear engineers; physicists; designers of road tankers and ship tankers; and mathematicians. Beginning with the fundamentals of liquid sloshing theory, this book takes the reader systematically from basic theory to advanced analytical and experimental results in a self-contained and coherent format. The book is divided into four sections. Part I deals with the theory of linear liquid sloshing dynamics; Part II addresses the nonlinear theory of liquid sloshing dynamics, Faraday waves, and sloshing impacts; Part III presents the problem of linear and nonlinear interaction of liquid sloshing dynamics with elastic containers and supported structures; and Part IV considers the fluid dynamics in spinning containers and microgravity sloshing. This book will be invaluable to researchers and graduate students in mechanical and aeronautical engineering, designers of liquid containers, and applied mathematicians.
Sloshing In Upright Circular Containers
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Author : Ihor Raynovskyy
language : en
Publisher: CRC Press
Release Date : 2020-10-07
Sloshing In Upright Circular Containers written by Ihor Raynovskyy and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-07 with Mathematics categories.
This book presents mathematical fundaments and results on sloshing in an upright circular cylindrical tank with semi-analytical solutions. The book outlines generic mathematical and physical aspects of the multimodal method, describes milestones, and presents several versions of modal systems for an upright circular tank, both linear and nonlinear. The book offers an extended description of the state-of-the-art theoretical sloshing with more than 200 references. It presents mathematical fundamentals of free-surface sloshing problems, details linear and nonlinear modal equations, provides analytical estimates of viscous damping, and covers stability analysis of steady-state solution. The book is for engineers dealing with sloshing, applied mathematicians working on free-surface problems, and lecturers in fluid mechanics that need to know the fundamentals and analytical solutions from surface wave theory.
Dynamics Of Liquid Sloshing In Road Containers
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Author : Gennady Popov
language : en
Publisher:
Release Date : 1991
Dynamics Of Liquid Sloshing In Road Containers written by Gennady Popov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.
Fundamentals Of Multibody Dynamics
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Author : Farid Amirouche
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-09-08
Fundamentals Of Multibody Dynamics written by Farid Amirouche and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-08 with Technology & Engineering categories.
This textbook – a result of the author’s many years of research and teaching – brings together diverse concepts of the versatile tool of multibody dynamics, combining the efforts of many researchers in the field of mechanics.
Dynamics Of Liquid Sloshing In Road Containers
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Author : Gennadiĭ Viktorovich Popov
language : en
Publisher:
Release Date : 1991
Dynamics Of Liquid Sloshing In Road Containers written by Gennadiĭ Viktorovich Popov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Liquids categories.
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1948
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1948 with Mechanics, Applied categories.
Handbook Of Structural Life Assessment
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Author : Raouf A. Ibrahim
language : en
Publisher: John Wiley & Sons
Release Date : 2017-03-29
Handbook Of Structural Life Assessment written by Raouf A. Ibrahim and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-29 with Technology & Engineering categories.
This important, self-contained reference deals with structural life assessment (SLA) and structural health monitoring (SHM) in a combined form. SLA periodically evaluates the state and condition of a structural system and provides recommendations for possible maintenance actions or the end of structural service life. It is a diversified field and relies on the theories of fracture mechanics, fatigue damage process, and reliability theory. For common structures, their life assessment is not only governed by the theory of fracture mechanics and fatigue damage process, but by other factors such as corrosion, grounding, and sudden collision. On the other hand, SHM deals with the detection, prediction, and location of crack development online. Both SLA and SHM are combined in a unified and coherent treatment.
Liquid Sloshing In An Elastic Container
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Author : Pin Tong
language : en
Publisher:
Release Date : 1966
Liquid Sloshing In An Elastic Container written by Pin Tong and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with categories.
The motion of a liquid in a flexible container is important for rocket structural dynamics. The purpose of the paper is to study the dynamic response of the liquid, the sloshing frequencies and the stability of the free surface of the liquid in an elastic container. The variational principle for the problem of an incompressible, inviscid fluid in an elastic container is presented by considering the pressure energy of the fluid, the surface energy, and the Lagrangian of the elastic thin shell. The corresponding linearized equations are studied in terms of eigenvalues and eigenfunctions. The effects of the gravitation, the surface tension, the rigidity of the container, the free surface contact angle and its dynamic variation, on the natural frequencies and the stability of the free surface are discussed. It is found that the flexibility of the container always lowers the natural frequencies and also induces a mean oscillatory motion of the liquid that creates an oscillatory force on the container in the vertical direction. The equilibrium contact angle and its dynamic variation have an important effect on the limit of stability. The motion of a liquid in a circular cylindrical container with a flat flexible bottom is worked out in detail analytically by means of eigenfunctions. Some results are presented graphically. A numerical scheme using finite elements method is developed for an arbitrary container. Methods for improving the solution systematically are indicated. (Author).