Year: 1962 Language: English Author: L. M. MILNE-THOMSON Genre: Textbook Edition: 4th Edition Format: PDF Quality: Scanned pages + text layer Pages count: 687 Description: NOT so many years ago the dynamics of a frictionless fluid had come to be regarded as an academic subject and incapable of practical application owing to the great discrepancy between calculated and observed results. The ultimate recognition, however, that Lanchester's theory of circulation in a perfect fluid could explain the lift on an aerofoil, and the adoption of Prandtl's hypothesis that outside the boundary layer the effect of viscosity is negligible, gave a fresh impetus to the subject which has always been necessary to the naval architect and which the advent of the modern aeroplane has placed in the front rank. The investigation of fluid motion falls naturally into two parts ; (i) the experimental or practical side ; (ii) the theoretical side which attempts to explain why experimental results turn out as they do, and above all attempts to predict the course of experiments as yet untried. Thus the practical and theoretical sides supplement one another, and it is to the latter aspect that this book is devoted. As a scientific theory becomes more exact, so does it of necessity tend to assume a more mathematical form. This statement must be construed to mean not that the form becomes more difficult or more abstruse, but rather that, when the fundamental laws have reached a stage of clear formulation, useful deductions can be made by the exact processes of mathematics. The object of this book, which is founded upon, and has grown out of, my lectures on the subject at Greenwich to junior members of the Royal Corps of Naval Constructors, is to give a thorough, clear and methodical introductory exposition of the mathematical theory of fluid motion which will be useful in applications to both hydrodynamics and aerodynamics.
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Theoretical hydrodynamics
Year: 1962
Language: English
Author: L. M. MILNE-THOMSON
Genre: Textbook
Edition: 4th Edition
Format: PDF
Quality: Scanned pages + text layer
Pages count: 687
Description: NOT so many years ago the dynamics of a frictionless fluid had come to be
regarded as an academic subject and incapable of practical application owing
to the great discrepancy between calculated and observed results. The ultimate
recognition, however, that Lanchester's theory of circulation in a perfect
fluid could explain the lift on an aerofoil, and the adoption of Prandtl's hypothesis
that outside the boundary layer the effect of viscosity is negligible, gave
a fresh impetus to the subject which has always been necessary to the naval
architect and which the advent of the modern aeroplane has placed in the
front rank.
The investigation of fluid motion falls naturally into two parts ; (i) the
experimental or practical side ; (ii) the theoretical side which attempts to
explain why experimental results turn out as they do, and above all attempts
to predict the course of experiments as yet untried. Thus the practical and
theoretical sides supplement one another, and it is to the latter aspect that
this book is devoted.
As a scientific theory becomes more exact, so does it of necessity tend to
assume a more mathematical form. This statement must be construed to
mean not that the form becomes more difficult or more abstruse, but rather
that, when the fundamental laws have reached a stage of clear formulation,
useful deductions can be made by the exact processes of mathematics. The
object of this book, which is founded upon, and has grown out of, my lectures
on the subject at Greenwich to junior members of the Royal Corps of Naval
Constructors, is to give a thorough, clear and methodical introductory exposition
of the mathematical theory of fluid motion which will be useful in applications
to both hydrodynamics and aerodynamics.
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