Shock Wave Dynamics: Derivatives and Related Topics

Science & Math

Emanuel, George

Physics

CRC-Press

Solution of Ordinary Differential Equations by Continuous Groups

Written by an engineer and sharply focused on practical matters, this text explores the application of Lie groups to solving ordinary differential equations (ODEs). Although the mathematical proofs and derivations in are de-emphasized in favor of problem solving, the author retains the conceptual basis of continuous groups and relates the theory to problems in engineering and the sciences. The author has developed a number of new techniques that are published here for the first time, including the important and useful enlargement procedure. The author also introduces a new way of organizing tables reminiscent of that used for integral tables. These new methods and the unique organizational scheme allow a significant increase in the number of ODEs amenable to group-theory solution. Solution of Ordinary Differential Equations by Continuous Groups offers a self-contained treatment that presumes only a rudimentary exposure to ordinary differential equations. Replete with fully worked examples, it is the ideal self-study vehicle for upper division and graduate students and professionals in applied mathematics, engineering, and the sciences.

Mathematics

Chapman and Hall/CRC

Analytical Fluid Dynamics presents an advanced treatment of inviscid and laminar viscous compressible flows from a theoretical viewpoint. The book emphasizes basic assumptions, physical aspects of the flow, and the appropriate formulations of the governing equations for subsequent analytical treatment. Topics covered include basic concepts, inviscid flow, exact solutions for a viscous flow, and laminar boundary-layer theory for steady two-dimensional or axisymmetric flow. The book complements computational fluid dynamics (CFD) approaches and contains a definitive treatment of the second law of thermodynamics, (unsteady, three-dimensional) shock wave theory, hodograph theory, substitution principle, and first- and second-order boundary-layer theory. It will be a useful text for students and professionals in mechanical engineering, fluid dynamics, physics, aeronautics, and astronautics.

Analytical Fluid Dynamics

The second edition of Analytical Fluid Dynamics presents an expanded and updated treatment of inviscid and laminar viscous compressible flows from a theoretical viewpoint. It emphasizes basic assumptions, the physical aspects of flow, and the appropriate formulations of the governing equations for subsequent analytical treatment. Topics covered include 
<li>Basic concepts 
</li>
<li>A novel approach to linking complicated thermodynamics to the equations of motion 
</li>
<li>Shockwave dynamics 
</li>
<li>Calorically imperfect gas flows 
</li>
<li>Supersonic sweep 
</li>
<li>Shock-expansion interference 
</li>
<li>Unsteady, one-dimensional flows 
</li>
<li>First- and second-order boundary-layer theory Particularly noteworthy is a new, general treatment of forces and moments. The one-dimension flow chapter also discusses internal ballistics and the Riemann function method for solving hyperbolic equations. These two chapters, along with those dealing with thermodynamics, sweep, interference, imperfect gas glows, and several of the appendices are new to this edition. Analytical Fluid Dynamics: Second Edition answers the continued need for fluid dynamic books that combine physical insight with careful development of the corresponding mathematics. With his focus on the development of analytical skills for dealing with inviscid and viscous flow, the author achieves this goal and provides a text valuable as a research reference or a graduate-level text. 
</li>

Analytical Fluid Dynamics, Second Edition

Gasdynamics: Theory and Applications (Aiaa Education Series)

Technology

Amer Inst of Aeronautics &

This graduate-level text begins with basic concepts of thermodynamics and continues through the study of Jacobian theory, Maxwell equations, stability, theory of real gases, critical point theory, and chemical thermodynamics.

Advanced Classical Thermodynamics (AIAA Education)

Astronomy & Space Science

AIAA (American Institute of Aeronautics & Astronautics)

New Edition Now Covers Shock-Wave Analysis An in-depth presentation of analytical methods and physical foundations, Analytical Fluid Dynamics, Third Edition breaks down the "how" and "why" of fluid dynamics. While continuing to cover the most fundamental topics in fluid mechanics, this latest work emphasizes advanced analytical approaches to aid in the analytical process and corresponding physical interpretation. It also addresses the need for a more flexible mathematical language (utilizing vector and tensor analysis and transformation theory) to cover the growing complexity of fluid dynamics. Revised and updated, the text centers on shock-wave structure, shock-wave derivatives, and shock-produced vorticity; supersonic diffusers; thrust and lift from an asymmetric nozzle; and outlines operator methods and laminar boundary-layer theory. In addition, the discussion introduces pertinent assumptions, reasons for studying a particular topic, background discussion, illustrative examples, and numerous end-of-chapter problems. Utilizing a wide variety of topics on inviscid and viscous fluid dynamics, the author covers material that includes: <ul>
<li>Viscous dissipation</li> <li>The second law of thermodynamics</li> <li>Calorically imperfect gas flows</li> <li>Aerodynamic sweep</li> <li>Shock-wave interference</li> <li>Unsteady one-dimensional flow</li> <li>Internal ballistics</li> <li>Force and momentum balance</li> <li>The Substitution Principle</li> <li>Rarefaction shock waves</li> <li>A comprehensive treatment of flow property derivatives just downstream of an unsteady three-dimensional shock</li> <li>Shock-generated vorticity</li> <li>Triple points</li> <li>An extended version of the Navier‒Stokes equations</li> <li>Shock-free supersonic diffusers</li> <li>Lift and thrust from an asymmetric nozzle</li> </ul>
Analytical Fluid Dynamics, Third Edition outlines the basics of analytical fluid mechanics while emphasizing analytical approaches to fluid dynamics. Covering the material in-depth, this book provides an authoritative interpretation of formulations and procedures in analytical fluid dynamics, and offers analytical solutions to fluid dynamic problems.

Working knowledge of the relations of various quantities and their derivatives across a shock wave is useful for any advanced research involving shock waves. Although these relations can be derived in principle by any diligent student of the subject, the derivations are often not trivial, and once derived, neither the approach nor the result can be confidently verified. Comprehensive and analytical, Shock Wave Dynamics: Derivatives and Related Topics includes not only the final results but also the methods, which are of great practical value as examples of mathematical procedure in this field.   The book focuses on shock wave derivatives under various conditions and extensively covers shock-generated vorticity, including a novel analysis of triple points. Special care is given to the presentation of assumptions, implementation requirements, and the illustrative examples included for partial verification of the preceding analysis.   Designed both as a research monograph and for self study, Shock Wave Dynamics is a complete discussion of shock wave dynamics. An analytical exploration of shock wave phenomena, it will be interesting reading for experts in the field of high-speed gas dynamics. Given today's emphasis on numerical simulation, it will also be of interest to computational engineers as a source for code verification and validation.

New Edition Now Covers Shock-Wave Analysis  An in-depth presentation of analytical methods and physical foundations, Analytical Fluid Dynamics, Third Edition breaks down the "how" and "why" of fluid dynamics. While continuing to cover the most fundamental topics in fluid mechanics, this latest work emphasizes advanced analytical approaches to aid in the analytical process and corresponding physical interpretation. It also addresses the need for a more flexible mathematical language (utilizing vector and tensor analysis and transformation theory) to cover the growing complexity of fluid dynamics.  Revised and updated, the text centers on shock-wave structure, shock-wave derivatives, and shock-produced vorticity; supersonic diffusers; thrust and lift from an asymmetric nozzle; and outlines operator methods and laminar boundary-layer theory. In addition, the discussion introduces pertinent assumptions, reasons for studying a particular topic, background discussion, illustrative examples, and numerous end-of-chapter problems. Utilizing a wide variety of topics on inviscid and viscous fluid dynamics, the author covers material that includes:    Viscous dissipation The second law of thermodynamics Calorically imperfect gas flows Aerodynamic sweep Shock-wave interference Unsteady one-dimensional flow Internal ballistics Force and momentum balance The Substitution Principle Rarefaction shock waves A comprehensive treatment of flow property derivatives just downstream of an unsteady three-dimensional shock Shock-generated vorticity Triple points An extended version of the Navier‒Stokes equations Shock-free supersonic diffusers Lift and thrust from an asymmetric nozzle  Analytical Fluid Dynamics, Third Edition outlines the basics of analytical fluid mechanics while emphasizing analytical approaches to fluid dynamics. Covering the material in-depth, this book provides an authoritative interpretation of formulations and procedures in analytical fluid dynamics, and offers analytical solutions to fluid dynamic problems.

Analytical Fluid Dynamics, Third Edition

Engineering & Transportation

Engineering

Written by an engineer and sharply focused on practical matters, this text explores the application of Lie groups to solving ordinary differential equations (ODEs). Although the mathematical proofs and derivations in are de-emphasized in favor of problem solving, the author retains the conceptual basis of continuous groups and relates the theory to problems in engineering and the sciences.The author has developed a number of new techniques that are published here for the first time, including the important and useful enlargement procedure. The author also introduces a new way of organizing tables reminiscent of that used for integral tables. These new methods and the unique organizational scheme allow a significant increase in the number of ODEs amenable to group-theory solution.Solution of Ordinary Differential Equations by Continuous Groups offers a self-contained treatment that presumes only a rudimentary exposure to ordinary differential equations. Replete with fully worked examples, it is the ideal self-study vehicle for upper division and graduate students and professionals in applied mathematics, engineering, and the sciences.

See the best price to sell, buy, or rent books by Emanuel, George. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Emanuel, George

See the best price to sell, buy, or rent books by Emanuel, George. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Shock Wave Dynamics: Derivatives and Related Topics

Solution of Ordinary Differential Equations by Continuous Groups

Analytical Fluid Dynamics

Analytical Fluid Dynamics, Second Edition

Gasdynamics: Theory and Applications (Aiaa Education Series)

Advanced Classical Thermodynamics (AIAA Education)

Analytical Fluid Dynamics

Shock Wave Dynamics: Derivatives and Related Topics

Analytical Fluid Dynamics, Third Edition

Solution of Ordinary Differential Equations by Continuous Groups