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Introductory Incompressible Fluid Mechanics (Paperback, New Ed)
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Introductory Incompressible Fluid Mechanics (Paperback, New Ed)
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This introduction to the mathematics of incompressible fluid
mechanics and its applications keeps prerequisites to a minimum -
only a background knowledge in multivariable calculus and
differential equations is required. Part One covers inviscid fluid
mechanics, guiding readers from the very basics of how to represent
fluid flows through to the incompressible Euler equations and many
real-world applications. Part Two covers viscous fluid mechanics,
from the stress/rate of strain relation to deriving the
incompressible Navier-Stokes equations, through to Beltrami flows,
the Reynolds number, Stokes flows, lubrication theory and boundary
layers. Also included is a self-contained guide on the global
existence of solutions to the incompressible Navier-Stokes
equations. Students can test their understanding on 100
progressively structured exercises and look beyond the scope of the
text with carefully selected mini-projects. Based on the authors'
extensive teaching experience, this is a valuable resource for
undergraduate and graduate students across mathematics, science,
and engineering.
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