Elementary Fluid Dynamics
The study of the dynamics of fluids is a central theme of modern applied mathematics. It is used to model a vast range of physical phenomena and plays a vital role in science and engineering. This textbook provides a clear introduction to both the theory and application of fluid dynamics, and will be suitable for all undergraduates coming to the subject for the first time. Prerequisites are few: a basic knowledge of vector calculus, complex analysis, and simple methods for solving differential equations are all that is needed. Throughout, numerous exercises (with hints and answers) illustrate the main ideas and serve to consolidate the reader's understanding of the subject. The book's wide scope (including inviscid and viscous flows, waves in fluids, boundary layer flow, and instability in flow) and frequent references to experiments and the history of the subject, ensures that this book provides a comprehensive and absorbing introduction to the mathematical study of fluid behaviour.
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According to eqn adverse pressure gradient aerofoil amplitude angle angular velocity axisymmetric blob boundary conditions boundary layer circular cylinder circulation round complex potential Consider constant convection corresponding deduce denotes density distance disturbances divergence theorem energy equations of motion Euler's equation Exercise finite flat plate flow speed fluid element force free surface group velocity high Reynolds number incompressible instability integral inviscid theory irrotational flow past line vortex linear low Reynolds number momentum Navier–Stokes equations no-slip condition obtain particular past a circular plane polar coordinates position pressure gradient problem radius region result rigid boundary satisfy shear flow solution sphere stagnation point steady flow stream function streamline stress Suppose symmetric term thin thin-film trailing edge variable vector velocity potential velocity profile viscous viscous flow viscous fluid vortex ring vortex tube wavelength wavenumber waves z-plane zero