Fundamental Mechanics of Fluids. Solutions manual

Description

Features • Contains numerous updates and adds a new chapter on methods of mathematical analysis, which includes similarity solutions, group invariance solutions, separation of variables solutions, and some Fourier series representations • Includes 40 new homework problems and a solutions manual • Examines one-, two-, and three-dimensional flows • Offers self-contained sections that are ideal for teaching flexibility • Includes end-of-chapter problems (many of which are new), figures, and further reading • Derives basic equations in a rigorous, general manner, emphasizing the physical interpretation of each term in the governing equations • Presents solutions to governing equations with a focus on both the mathematical methodology and the physical consequences associated with each category of fluid flow situation • Employs an organization that permits use of a variety of individual programs • Includes 138 meaningful problems which are designed to underscore the various principles being presented A solutions manual is available upon qualifying course adoption Summary Fundamental Mechanics of Fluids, Fourth Edition addresses the need for an introductory text that focuses on the basics of fluid mechanics—before concentrating on specialized areas such as ideal-fluid flow and boundary-layer theory. Filling that void for both students and professionals working in different branches of engineering, this versatile instructional resource comprises five flexible, self-contained sections: • Governing Equations deals with the derivation of the basic conservation laws, flow kinematics, and some basic theorems of fluid mechanics. • Ideal-Fluid Flow covers two- and three-dimensional potential flows and surface waves. • Viscous Flows of Incompressible Fluids discusses exact solutions, low-Reynolds-number approximations, boundary-layer theory, and buoyancy-driven flows. • Compressible Flow of Inviscid Fluids addresses shockwaves as well as one- and multidimensional flows. • Methods of Mathematical Analysis summarizes some commonly used analysis techniques. Additional appendices offer a synopsis of vectors, tensors, Fourier series, thermodynamics, and the governing equations in the common coordinate systems. The book identifies the phenomena associated with the various properties of compressible, viscous fluids in unsteady, three-dimensional flow situations. It provides techniques for solving specific types of fluid-flow problems, and it covers the derivation of the basic equations governing the laminar flow of Newtonian fluids, first assessing general situations and then shifting focus to more specific scenarios. The author illustrates the process of finding solutions to the governing equations. In the process, he reveals both the mathematical methodology and physical phenomena involved in each category of flow situation, which include ideal, viscous, and compressible fluids. This categorization enables a clear explanation of the different solution methods and the basis for the various physical consequences of fluid properties and flow characteristics. Armed with this new understanding, readers can then apply the appropriate equation results to deal with the particular circumstances of their own work. 1 Basic Conservation Laws 2 Flow Kinematics 3 Special Forms of the Governing Equations 4 Two-Dimensional Potential Flows 5 Three-Dimensional Potential Flows 6 Surface Waves 7 Exact Solutions 8 Low Reynolds Number Solutions 9 Boundary Layers 10 Buoyancy-Driven Flows 11 Shock Waves 12 One-Dimensional Flows 13 Multi-Dimensional Flows 14 Some Useful Methods of Analysis