Theoretical fluid dynamics
Abstract
This book is concerned with a discussion of the dynamical behavior of a fluid, and is addressed primarily to graduate students and researchers in theoretical physics and applied mathematics. A review of basic concepts and equations of fluid dynamics is presented, taking into account a fluid model of systems, the objective of fluid dynamics, the fluid state, description of the flow field, volume forces and surface forces, relative motion near a point, stressstrain relation, equations of fluid flows, surface tension, and a program for analysis of the governing equations. The dynamics of incompressible fluid flows is considered along with the dynamics of compressible fluid flows, the dynamics of viscous fluid flows, hydrodynamic stability, and dynamics of turbulence. Attention is given to the complexvariable method, threedimensional irrotational flows, vortex flows, rotating flows, water waves, applications to aerodynamics, shock waves, potential flows, the hodograph method, flows at low and high Reynolds numbers, the JeffreyHamel flow, and the capillary instability of a liquid jet.
 Publication:

NASA STI/Recon Technical Report A
 Pub Date:
 1985
 Bibcode:
 1985STIA...8621309S
 Keywords:

 Compressible Flow;
 Computational Fluid Dynamics;
 Flow Equations;
 Incompressible Flow;
 Viscous Flow;
 Aerodynamics;
 Flow Distribution;
 Flow Stability;
 Rotating Fluids;
 Stream Functions (Fluids);
 StressStrain Relationships;
 Turbulent Flow;
 Vortices;
 Wave Propagation;
 Fluid Mechanics and Heat Transfer