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Book
Laminar flow theory
Author:
ISBN: 0691245886 Year: 1996 Publisher: Princeton, New Jersey : Princeton University Press,

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Abstract

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.

Keywords

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.


Book
Earthquake and volcano deformation
Author:
ISBN: 9780691133027 0691133026 1282608215 9786612608216 140083385X 9781400833856 9781282608214 Year: 2010 Publisher: Princeton, N.J. Princeton University Press

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Abstract

Earthquake and Volcano Deformation is the first textbook to present the mechanical models of earthquake and volcanic processes, emphasizing earth-surface deformations that can be compared with observations from Global Positioning System (GPS) receivers, Interferometric Radar (InSAR), and borehole strain- and tiltmeters. Paul Segall provides the physical and mathematical fundamentals for the models used to interpret deformation measurements near active faults and volcanic centers.Segall highlights analytical methods of continuum mechanics applied to problems of active crustal deformation. Topics include elastic dislocation theory in homogeneous and layered half-spaces, crack models of faults and planar intrusions, elastic fields due to pressurized spherical and ellipsoidal magma chambers, time-dependent deformation resulting from faulting in an elastic layer overlying a viscoelastic half-space and related earthquake cycle models, poroelastic effects due to faulting and magma chamber inflation in a fluid-saturated crust, and the effects of gravity on deformation. He also explains changes in the gravitational field due to faulting and magmatic intrusion, effects of irregular surface topography and earth curvature, and modern concepts in rate- and state-dependent fault friction. This textbook presents sample calculations and compares model predictions against field data from seismic and volcanic settings from around the world.Earthquake and Volcano Deformation requires working knowledge of stress and strain, and advanced calculus. It is appropriate for advanced undergraduates and graduate students in geophysics, geology, and engineering. Professors: A supplementary Instructor's Manual is available for this book. It is restricted to teachers using the text in courses. For information on how to obtain a copy, refer to: http://press.princeton.edu/class_use/solutions.html

Keywords

Rock deformation --- Strains and stresses --- Volcanism. --- Earthquakes. --- Deformations (Mechanics) --- Mathematical models. --- Volcanism --- Earthquakes --- Volcanisme --- Tremblements de terre --- Déformations (Mécanique) --- Mathematical models --- Deformations (Mechanics). --- Rock deformation - Mathematical models. --- Rock deformation -- Mathematical models. --- Strains and stresses - Mathematical models. --- Strains and stresses -- Mathematical models. --- Volcanicity --- Vulcanism --- Stresses and strains --- Elastic solids --- Mechanics --- Rheology --- Structural failures --- Quakes (Earthquakes) --- Earth movements --- Natural disasters --- Seismology --- Geodynamics --- Volcanology --- Architectural engineering --- Engineering, Architectural --- Architecture --- Flexure --- Statics --- Structural analysis (Engineering) --- Elasticity --- Engineering design --- Graphic statics --- Strength of materials --- Stress waves --- Structural design --- Deformation, Rock --- Geology, Structural --- Rock deformation - Mathematical models --- Strains and stresses - Mathematical models --- 1906 San Francisco earthquake. --- 1980 eruption of Mount St. Helens. --- 1989 Loma Prieta earthquake. --- 1992 Landers earthquake. --- 1999 Hector Mine earthquake. --- Active fault. --- Atmospheric refraction. --- Cauchy stress tensor. --- Compressive stress. --- Continental collision. --- Continuum mechanics. --- Crust (geology). --- Deformation (engineering). --- Deformation (mechanics). --- Deformation monitoring. --- Dike (geology). --- Dislocation. --- Displacement field (mechanics). --- Earthquake prediction. --- Earthquake rupture. --- Earthquake swarm. --- Elasticity (physics). --- Explosive eruption. --- Fault (geology). --- Fault friction. --- Figure of the Earth. --- Fracture mechanics. --- Fracture toughness. --- Fracture zone. --- Fracture. --- Friction. --- Geodetic datum. --- Geologic time scale. --- Geothermal gradient. --- Gravitational acceleration. --- Gravitational potential. --- Gravity Recovery and Climate Experiment. --- Hawaiian Volcano Observatory. --- Infinitesimal strain theory. --- Intraplate earthquake. --- Lava dome. --- Lava lake. --- Lava. --- Long Valley Caldera. --- Magma chamber. --- Magnetic anomaly. --- Melting point. --- Mount St. Helens. --- Nucleation. --- Orogeny. --- Oscillation. --- Parkfield earthquake. --- Plane stress. --- Plate tectonics. --- Porosity. --- Pressure gradient. --- Radiation stress. --- Resurgent dome. --- Rift zone. --- Rock (geology). --- Rock mechanics. --- San Andreas Fault. --- Seafloor spreading. --- Seismic gap. --- Seismic hazard. --- Seismic moment. --- Seismic risk. --- Seismic tomography. --- Seismic wave. --- Seismology. --- Shear modulus. --- Shear stress. --- Shear zone. --- Shearing (physics). --- Shield volcano. --- Strain energy. --- Strain rate. --- Stratovolcano. --- Stress concentration. --- Stress functions. --- Stress intensity factor. --- Subduction. --- Subsidence. --- Surface energy. --- Surface gravity. --- Surface stress. --- Tectonophysics. --- Tension (physics). --- Thermal expansion. --- Thrust fault. --- Traction (engineering). --- Transform fault. --- Types of volcanic eruptions. --- Vibration. --- Viscoelasticity. --- Volcanic hazards. --- Volcanic pipe. --- Volcano. --- Wavenumber. --- Yield (engineering).

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