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Fluid mechanics is one of the greatest accomplishments of classical physics. The Navier-Stokes equations, first derived in the eighteenth century, serve as an accurate mathematical model with which to describe the flow of a broad class of real fluids. Not only is the subject of interest to mathematicians and physicists, but it is also indispensable to mechanical, aeronautical, and chemical engineers, who have to apply the equations to real-world examples, such as the flow of air around an aircraft wing or the motion of liquid droplets in a suspension. In this book, which first appeared in a comprehensive collection of essays entitled The Theory of Laminar Flows (Princeton, 1964), P. A. Lagerstrom imparts the essential theoretical framework of laminar flows to the reader. A concise and elegant description, Lagerstrom's work remains a model piece of writing and has much to offer today's reader seeking an introduction to the flow of nonturbulent fluids. Beginning with the conservation laws that result in the equation of continuity, the Navier-Stokes equation, and the energy transport equation, Lagerstrom moves on to consider viscous waves, low Reynolds-number approximations such as Stokes flow and the Oseen equations, and then high Reynolds-number approximations that are used to describe boundary layers, jets, and wakes. Finally, he examines some compressibility effects, such as those that occur in the laminar boundary layer around a flat plate, both with and without a pressure gradient.

Aerodynamics. --- Laminar flow. --- Absolute value. --- Accuracy and precision. --- Approximation. --- Asymptotic expansion. --- Bernoulli's principle. --- Big O notation. --- Blasius boundary layer. --- Boltzmann equation. --- Boltzmann's entropy formula. --- Boundary layer. --- Boundary value problem. --- Calculation. --- Cauchy stress tensor. --- Compressibility. --- Compressible flow. --- Conservation law. --- Conservative vector field. --- Constant of integration. --- Continuity equation. --- Continuum mechanics. --- Coordinate system. --- Critical point (thermodynamics). --- Derivative. --- Dimensional analysis. --- Dirac delta function. --- Displacement (vector). --- Dissipation. --- Distribution law. --- Divergence theorem. --- Drag coefficient. --- Enthalpy. --- Equation of state (cosmology). --- Equation. --- Equilibrium thermodynamics. --- Equipartition theorem. --- Euler equations (fluid dynamics). --- For All Practical Purposes. --- Forcing function (differential equations). --- Fundamental solution. --- Galilean transformation. --- Gas constant. --- Heat transfer. --- Hyperbolic function. --- Incompressible flow. --- Initial value problem. --- Integral equation. --- Internal energy. --- Inviscid flow. --- Isochoric process. --- Kinetic theory of gases. --- Laws of thermodynamics. --- Length scale. --- Linear differential equation. --- Linear equation. --- Linear map. --- Mach number. --- Navier–Stokes equations. --- No-slip condition. --- Non-equilibrium thermodynamics. --- Normal conditions. --- Ordinary differential equation. --- Oseen equations. --- Perfect fluid. --- Perfect gas. --- Potential flow. --- Power series. --- Prandtl number. --- Pressure coefficient. --- Pressure gradient. --- Probability. --- Proportionality (mathematics). --- Quantity. --- Real gas. --- Retrograde inversion. --- Reynolds number. --- Riemannian geometry. --- Sign (mathematics). --- Significant figures. --- Simple shear. --- Special case. --- Stagnation point. --- Stagnation temperature. --- State variable. --- Stream function. --- Stress functions. --- Symmetric tensor. --- Temperature. --- Tensor algebra. --- Tensor density. --- Thermodynamic equilibrium. --- Transport coefficient. --- Transverse wave. --- Two-dimensional flow. --- Two-dimensional space. --- Vanish at infinity. --- Velocity. --- Virial coefficient. --- Viscosity. --- Volume viscosity. --- Vorticity.