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Mathematical Biofluiddynamics


Mathematical Biofluiddynamics
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Mathematical Biofluiddynamics


Mathematical Biofluiddynamics
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Author : James Lighthill
language : en
Publisher: SIAM
Release Date : 1975-01-01

Mathematical Biofluiddynamics written by James Lighthill and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-01-01 with Technology & Engineering categories.


Addresses external biofluiddynamics concerning animal locomotion and internal biofluiddynamics concerning heat and mass transport.



Mathematical Biofluiddynamics


Mathematical Biofluiddynamics
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Author : James Lighthill
language : en
Publisher:
Release Date : 1975

Mathematical Biofluiddynamics written by James Lighthill and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Animal flight categories.




Mathematical Biofluiddynamics


Mathematical Biofluiddynamics
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Author : Michael J. Lighthill
language : en
Publisher:
Release Date : 1989

Mathematical Biofluiddynamics written by Michael J. Lighthill and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.




Mathematical Biofluiddynamics


Mathematical Biofluiddynamics
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Author : James Lighthill
language : en
Publisher: Society for Industrial and Applied Mathematics
Release Date : 1987-01-01

Mathematical Biofluiddynamics written by James Lighthill and has been published by Society for Industrial and Applied Mathematics this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-01-01 with Science categories.


Addresses external biofluiddynamics concerning animal locomotion through surrounding fluid media - and internal biofluiddynamics concerning heat and mass transport by fluid flow systems within an animal.



Mathematical Biofluiddynamics


Mathematical Biofluiddynamics
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Author : James Lighthill
language : en
Publisher:
Release Date : 1983

Mathematical Biofluiddynamics written by James Lighthill and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.




Fluid Dynamics In Biology


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.



Sir James Lighthill And Modern Fluid Mechanics


Sir James Lighthill And Modern Fluid Mechanics
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Author : Lokenath Debnath
language : en
Publisher: World Scientific
Release Date : 2008

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 with Biography & Autobiography 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.



Biofluid Dynamics


Biofluid Dynamics
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Author : Clement Kleinstreuer
language : en
Publisher: CRC Press
Release Date : 2016-04-19

Biofluid Dynamics written by Clement Kleinstreuer and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Medical categories.


Biofluid Dynamics builds a solid understanding of medical implants and devices from a bioengineering standpoint. The text features extensive worked examples and mathematical appendices; exercises and project assignments to stimulate critical thinking and build problem solving skills; numerous illustrations, including a 16-page full-color insert; computer simulations of biofluid dynamics processes and medical device operations; tools for solving basic biofluid problems; and a glossary of terms. The text can be used as a primary selection for a comprehensive course or for a two-course sequence or as a reference for professionals in biomedical engineering and medicine.



Mathematical Approaches In Hydrodynamics


Mathematical Approaches In Hydrodynamics
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Author : Touvia Miloh
language : en
Publisher: SIAM
Release Date : 1991-01-01

Mathematical Approaches In Hydrodynamics written by Touvia Miloh and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-01-01 with Science categories.


To honor Professor Marshall P. Tulin on his 65th birthday (March 14, 1991), fluid mechanicians and applied mathematicians who have had close association and collaborated with Tulin during his career contribute papers in various areas related to his main interest naval hydrodynamics. No index. Annota



Mathematical Modelling Of Flow Through Thin Curved Pipes With Application To Hemodynamics


Mathematical Modelling Of Flow Through Thin Curved Pipes With Application To Hemodynamics
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Author : Arpan Ghosh
language : en
Publisher: Linköping University Electronic Press
Release Date : 2019-04-17

Mathematical Modelling Of Flow Through Thin Curved Pipes With Application To Hemodynamics written by Arpan Ghosh and has been published by Linköping University Electronic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-17 with categories.


The problem of mathematical modelling of incompressible flows with low velocities through narrow curvilinear pipes is addressed in this thesis. The main motivation for this modelling task is to eventually model the human circulatory system in a simple way that can facilitate the medical practitioners to efficiently diagnose any abnormality in the system. The thesis comprises of four articles. In the first article, a two-dimensional model describing the elastic behaviour of the wall of a thin, curved, exible pipe is presented. The wall is assumed to have a laminate structure consisting of several anisotropic layers of varying thickness. The width of the channel is allowed to vary along the pipe. The two-dimensional model takes the interactions of the wall with any surrounding material and the fluid flow into account and is obtained through a dimension reduction procedure. Examples of canonical shapes of pipes and their walls are provided with explicit systems of differential equations at the end. In the second article, a one-dimensional model describing the blood flow through a moderately curved, elastic blood vessel is presented. The two-dimensional model presented in the first paper is used to model the vessel wall while linearized Navier-Stokes equations are used to model the flow through the channel. Surrounding muscle tissues and presence of external forces other than gravity are taken into account. The model is again obtained via a dimension reduction procedure based on the assumption of thinness of the vessel relative to its length. Results of numerical simulations are presented to highlight the influence of different factors on the blood flow. The one-dimensional model described in the second paper is used to derive a simplified one-dimensional model of a false aneurysm which forms the subject of the third article. A false aneurysm is an accumulation of blood outside a blood vessel but confined by the surrounding muscle tissue. Numerical simulations are presented which demonstrate different characteristics associated with a false aneurysm. In the final article, a modified Reynolds equation, along with its derivation from Stokes equations through asymptotic methods, is presented. The equation governs the steady flow of a fluid with low Reynolds number through a narrow, curvilinear tube. The channel considered may have large curvature and torsion. Approximations of the velocity and the pressure of the fluid inside the channel are constructed. These approximations satisfy a modified Poiseuille equation. A justification for the approximations is provided along with a comparison with a simpler case.