Sir James Lighthill And Modern Fluid Mechanics
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Sir James Lighthill And Modern Fluid Mechanics
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Author : Lokenath Debnath
language : en
Publisher: World Scientific
Release Date : 2008-07-16
Sir James Lighthill And Modern Fluid Mechanics written by Lokenath Debnath and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-16 with Science categories.
This is perhaps the first book containing biographical information of Sir James Lighthill and his major scientific contributions to the different areas of fluid mechanics, applied mathematics, aerodynamics, linear and nonlinear waves in fluids, geophysical fluid dynamics, biofluiddynamics, aeroelasticity, boundary layer theory, generalized functions, and Fourier series and integrals. Special efforts is made to present Lighthill's scientific work in a simple and concise manner, and generally intelligible to readers who have some introduction to fluid mechanics. The book also includes a list of Lighthill's significant papers.Written for the mathematically literate reader, this book also provides a glimpse of Sir James' serious attempt to stimulate interest in mathematics and its diverse applications among the general public of the world, his profound influence on teaching of mathematics and science with newer applications, and his deep and enduring concern on enormous loss of human lives, economic and marine resources by natural hazards. By providing detailed background information and knowledge, sufficient to start interdisciplinary research, it is intended to serve as a ready reference guide for readers interested in advanced study and research in modern fluid mechanics./a
Geophysical Fluid Dynamics I
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Author : Emin Özsoy
language : en
Publisher: Springer Nature
Release Date : 2020-01-16
Geophysical Fluid Dynamics I written by Emin Özsoy and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-16 with Science categories.
This textbook develops a fundamental understanding of geophysical fluid dynamics by providing a mathematical description of fluid properties, kinematics and dynamics as influenced by earth’s rotation. Its didactic value is based on elaborate treatment of basic principles, derived equations, exemplary solutions and their interpretation. Both starting graduate students and experienced scientists can closely follow the mathematical development of the basic theory applied to the flow of uniform density fluids on a rotating earth, with (1) basic physics introducing the "novel" effects of rotation for flows on planetary scales, (2) simplified dynamics of shallow water and quasi-geostrophic theories applied to a variety of steady, unsteady flows and geophysical wave motions, demonstrating the restoring effects of Coriolis acceleration, earth’s curvature (beta) and topographic steering, (3) conservation of vorticity and energy at geophysical scales, and (4) specific applications to help demonstrate the ability to create and solve new problems in this very rich field. A comprehensive review of the complex geophysical flows of the ocean and the atmosphere is closely knitted with this basic description, intended to be developed further in the second volume that addresses density stratified geophysical fluid dynamics.
Mechanics Of Real Fluids
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Author : Matiur Rahman
language : en
Publisher: WIT Press
Release Date : 2011
Mechanics Of Real Fluids written by Matiur Rahman and has been published by WIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
"This book on an important area of applied mathematics is a compendium of the work of many pioneering authors and of research works from throughout the author's career ... It is intended to provide background for young scientists and graduate students as well as applied mathematicians and professional engineers. Some knowledge of vector calculus including the integral theorems such as Green's theorem, Stokes's theorem and divergence theorem is assumed on the part of the reader. Isotropic tensor calculus is used sparingly in some chapters. A famliarity with the Bessel functions, Legendre polynomials and hypergeometric functions is also expected" -- Back cover.
Unified Theoretical Foundations Of Lift And Drag In Viscous And Compressible External Flows
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Author : Luo-Qin Liu
language : en
Publisher: Springer
Release Date : 2017-09-29
Unified Theoretical Foundations Of Lift And Drag In Viscous And Compressible External Flows written by Luo-Qin Liu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-29 with Technology & Engineering categories.
This thesis analyzes aerodynamic forces in viscous and compressible external flows. It is unique, as the force theories discussed apply to fully viscous and compressible Navier-Stokes external flows, allowing them to be readily combined with computational fluid dynamics to form a profound basis of modern aerodynamics. This thesis makes three fundamental contributions to theoretical aerodynamics, presenting: (1) a universal far-field zonal structure that determines how disturbance flow quantities decay dynamically to the state of rest at infinity; (2) a universal and exact total-force formula for steady flow and its far-field asymptotics; and (3) a general near-field theory for the detailed diagnosis of all physical constituents of aerodynamic force and moment.
Non Resonant Solutions In Hyperbolic Parabolic Systems With Periodic Forcing
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Author : Aday Celik
language : en
Publisher: Logos Verlag Berlin GmbH
Release Date : 2020-09-30
Non Resonant Solutions In Hyperbolic Parabolic Systems With Periodic Forcing written by Aday Celik and has been published by Logos Verlag Berlin GmbH this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-30 with Mathematics categories.
This thesis is a mathematical investigation of damping effects in hyperbolic systems. In the first part two models from nonlinear acoustics are studied. Existence of time-periodic solutions to the Blackstock-Crighton equation and the Kuznetsov equation are established for time-periodic data sufficiently restricted in size. This leads to the conclusion that the dissipative effects in these models are sufficient to avoid resonance. In the second part the interaction of a viscous fluid with an elastic structure is studied. A periodic cell structure filled with a viscous fluid interacting with a deformable boundary of the cell is considered under time-periodic forcing. The motion of the fluid is governed by the Navier-Stokes equations and the deformable boundary is governed by the plate equation. It is shown that the damping mechanism induced by the viscous fluid is sufficient to avoid resonance in the elastic structure.
Fluid Dynamics In Biology
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Author : Angela Y. Cheer
language : en
Publisher: American Mathematical Soc.
Release Date : 1993
Fluid Dynamics In Biology written by Angela Y. Cheer and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
This volume contains nearly all the papers presented at the AMS-IMS-SIAM Joint Summer Research Conference on Biofluiddynamics, held in July 1991, at the University of Washington, Seattle. The lead paper, by Sir James Lighthill, presents a comprehensive review of external flows in biology. The other papers on external and internal flows illuminate developments in the protean field of biofluiddynamics from diverse viewpoints, reflecting the field's multidisciplinary nature. For this reason, the work should be useful to mathematicians, biologists, engineers, physiologists, cardiologists and oceanographers alike. The papers highlight a number of problems that have remained largely unexplored due to the difficulty of addressing biological flow motions, which are often governed by large systems of nonlinear differential equations and involve complex geometries. However, recent advances in computational fluid dynamics have expanded opportunities to solve such problems. These developments have increased interest in areas such as the mechanisms of blood and air flow in humans, the dynamic ecology of the oceans, animal swimming and flight, to name a few.
Tidal Bores Aegir Eagre Mascaret Pororoca
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Author : Hubert Chanson
language : en
Publisher: World Scientific
Release Date : 2012
Tidal Bores Aegir Eagre Mascaret Pororoca written by Hubert Chanson and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Science categories.
A tidal bore is a series of waves propagating upstream as the tidal flow turns to rising. It forms during spring tide conditions when the tidal range exceeds 4 to 6 m and the flood tide is confined to a narrow funnelled estuary. Its existence is based upon a fragile hydrodynamic balance between the tidal amplitude, the freshwater river flow conditions and the river channel bathymetry, and it is shown that this balance may be easily disturbed by changes in boundary conditions and freshwater inflow. This book demystifies the physics of a tidal bore and it thoroughly documents the tidal bores on our planet with reliable and accurate information. It aims to cultivate a passion for a beautiful, but fragile geophysical process, with in-depth updated content and by over 190 illustrations and photographs.
Advances In Fluid Mechanics Iii
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Author : M. Rahman
language : en
Publisher: Computational Mechanics
Release Date : 2000
Advances In Fluid Mechanics Iii written by M. Rahman and has been published by Computational Mechanics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Science categories.
Annotation This book contains papers presented at the Third International Conference on Advances in Fluid Mechanics.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2002
Mathematical 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 2002 with Mathematics categories.
Collected Papers Of Sir James Lighthill
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Author : Sir M. J. Lighthill
language : en
Publisher:
Release Date : 1997
Collected Papers Of Sir James Lighthill written by Sir M. J. Lighthill and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Aerodynamics categories.