Analysis of Shock-plugs in Quasi-one-dimensional Compressible Flow PDF Download
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Author: Matthew Alexander Thompson
Publisher:
ISBN:
Category : Microfluidics
Languages : en
Pages : 0
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Book Description
At small length scales, such as in micro-nozzles, the assumption that a shock wave is infinitesimally thin breaks-down due to the thickness of the shock being non-negligible compared to the dimensions of the nozzle. In this thesis, shock waves of finite thickness, or "shock-plugs," are modeled using the same methods and assumptions as a standard shock wave analysis. Due to the finite thickness of shock-plugs, however, two additional parameters are required in order to account for the differing inlet and exit areas, as well as the pressure on the side walls of the channel. A "typical" micro-nozzle with appropriate dimensions is considered to investigate the effects of these new parameters. It is found that the assumptions made in this model do not constrain shock thickness, and that a shock-plug of any thickness can exist inside of a nozzle for given values of inlet total properties and back pressure. Furthermore, analysis of the pressure on the side walls in the shock-plug model suggests that entropy generation within both shock-plugs and shock waves is best thought of as being due to unrestrained expansion as opposed to internal friction or temperature gradients, as it is more commonly held.
Author: Matthew Alexander Thompson
Publisher:
ISBN:
Category : Microfluidics
Languages : en
Pages : 0
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Book Description
At small length scales, such as in micro-nozzles, the assumption that a shock wave is infinitesimally thin breaks-down due to the thickness of the shock being non-negligible compared to the dimensions of the nozzle. In this thesis, shock waves of finite thickness, or "shock-plugs," are modeled using the same methods and assumptions as a standard shock wave analysis. Due to the finite thickness of shock-plugs, however, two additional parameters are required in order to account for the differing inlet and exit areas, as well as the pressure on the side walls of the channel. A "typical" micro-nozzle with appropriate dimensions is considered to investigate the effects of these new parameters. It is found that the assumptions made in this model do not constrain shock thickness, and that a shock-plug of any thickness can exist inside of a nozzle for given values of inlet total properties and back pressure. Furthermore, analysis of the pressure on the side walls in the shock-plug model suggests that entropy generation within both shock-plugs and shock waves is best thought of as being due to unrestrained expansion as opposed to internal friction or temperature gradients, as it is more commonly held.
Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 772
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Author:
Publisher:
ISBN:
Category : Physics
Languages : en
Pages : 844
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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Nonstandard analysis is a relatively new area of mathematics in which infinitesimal numbers can be defined and manipulated rigorously like real numbers. This report presents a fairly comprehensive tutorial on nonstandard analysis for physicists and engineers with many examples applicable to generalized functions. To demonstrate the power of the subject, the problem of shock wave jump conditions is studied for a one-dimensional compressible gas. It is assumed that the shock thickness occurs on an infinitesimal interval and the jump functions in the thermodynamic and fluid dynamic parameters occur smoothly across this interval. To use conservations laws, smooth pre-distributions of the Dirac delta measure are applied whose supports are contained within the shock thickness. Furthermore, smooth pre-distributions of the Heaviside function are applied which vary from zero to one across the shock wave. It is shown that if the equations of motion are expressed in nonconservative form then the relationships between the jump functions for the flow parameters may be found unambiguously. The analysis yields the classical Rankine-Hugoniot jump conditions for an inviscid shock wave. Moreover, non-monotonic entropy jump conditions are obtained for both inviscid and viscous flows. The report shows that products of generalized functions may be defined consistently using nonstandard analysis; however, physically meaningful products of generalized functions must be determined from the physics of the problem and not the mathematical form of the governing equations.
Author: University of Toronto. Institute for Aerospace Studies
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 268
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Author: Joseph Brigandi
Publisher:
ISBN:
Category : Compressibility
Languages : en
Pages : 106
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Book Description
Author: Saeed Farokhi
Publisher: John Wiley & Sons
ISBN: 1118806778
Category : Technology & Engineering
Languages : en
Pages : 1052
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Book Description
New edition of the successful textbook updated to include new material on UAVs, design guidelines in aircraft engine component systems and additional end of chapter problems Aircraft Propulsion, Second Edition follows the successful first edition textbook with comprehensive treatment of the subjects in airbreathing propulsion, from the basic principles to more advanced treatments in engine components and system integration. This new edition has been extensively updated to include a number of new and important topics. A chapter is now included on General Aviation and Uninhabited Aerial Vehicle (UAV) Propulsion Systems that includes a discussion on electric and hybrid propulsion. Propeller theory is added to the presentation of turboprop engines. A new section in cycle analysis treats Ultra-High Bypass (UHB) and Geared Turbofan engines. New material on drop-in biofuels and design for sustainability is added to refl ect the FAA’s 2025 Vision. In addition, the design guidelines in aircraft engine components are expanded to make the book user friendly for engine designers. Extensive review material and derivations are included to help the reader navigate through the subject with ease. Key features: General Aviation and UAV Propulsion Systems are presented in a new chapter Discusses Ultra-High Bypass and Geared Turbofan engines Presents alternative drop-in jet fuels Expands on engine components' design guidelines The end-of-chapter problem sets have been increased by nearly 50% and solutions are available on a companion website Presents a new section on engine performance testing and instrumentation Includes a new 10-Minute Quiz appendix (with 45 quizzes) that can be used as a continuous assessment and improvement tool in teaching/learning propulsion principles and concepts Includes a new appendix on Rules of Thumb and Trends in aircraft propulsion Aircraft Propulsion, Second Edition is a must-have textbook for graduate and undergraduate students, and is also an excellent source of information for researchers and practitioners in the aerospace and power industry.
Author: Cory Kinney
Publisher:
ISBN:
Category :
Languages : en
Pages : 15
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Book Description
Shock tube experiments provide insightful data on combustion, emissions, and ablation characterization for a wide variety of defense and energy sector research topics. Accurate characterization of shock tube facilities is essential to verifying the accuracy of research data. Non-ideal effects, such as boundary layer growth, introduce uncertainty into pressure and temperature conditions, the primary independent variables of interest for shock tube research results. The effect of boundary layer growth on shock tube experiments was investigated by conducting simulations for University of Central Florida’s two geometrically different shock tube using StanShock, a quasi-one-dimensional, reacting, compressible flow solver. The characteristic quantities considered for non-ideal effects and their impact on experiments is the post-reflected-shock pressure rise, dp*/dt, and the incident shock wave attenuation, which are calculated from simulated pressure data and developed into correlations for shock tube characterization and experiment planning.
Author: P. C. Samuels
Publisher:
ISBN:
Category :
Languages : en
Pages : 69
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Author:
Publisher:
ISBN:
Category : Dissertation abstracts
Languages : en
Pages : 696
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