Overview of Theoretical Aeroacoustics: Compiled Mathematical Derivations of Fereidoun Feri Farassat

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1 Overview of Theoretical Aeroacoustics: Compiled Mathematical Derivations of Fereidoun Feri Farassat Steven A. E. Miller The National Aeronautics and Space Administration NASA Technical Working Group April 19 th 20 th 2016

2 Acknowledgements NASA Langley Research Center Technical Library Sarah Schwaner and Susan Miller Family of Dr. Farassat Linda Schneider and Nigel Schneider Substantial additional material Doug Boyd, Mark Dunn, Craig Hunter, Florence Hutcheson, Alexandra Loubeau, Doug Nark, and others Discussions with Michael Myers and Mark Dunn Reviewers Eric Greenwood and Stephanie Heath NASA Privileged for opportunity to organize this publication and working with Feri Farassat April 2016 Steven A. E. Miller, Ph.D., 2

3 Outline Scope and Purpose Overview of Material Process of Preparation Table of Contents Biography Selected Highlights How to Obtain a Copy April 2016 Steven A. E. Miller, Ph.D., s.miller@nasa.gov 3

4 Scope and Purpose Make publicly available original and comprehensive research of a leading NASA scientist Dr. Fereidoun Feri Farassat A leading theoretician in aeroacoustics Incredible influence on others - professional and personal Career is evidence for importance of fundamental theoretical research and its effect on technical discipline Unwavering advocate for NASA research Followed what he believed was the correct technical path Document Comprehensive volume of green books, derivations, notes, and classes Details of mathematical derivations used internationally Layout: foundational ideas through theories - build upon one another Potential for student use for understanding basic acoustics and popular aeroacoustics prediction approach Insight into NASA problem solving process April 2016 Steven A. E. Miller, Ph.D., s.miller@nasa.gov 4

5 Overview of Material Table of contents Brief biography Process of preparation Comprehensive list of publications (approx. 150) pages April 2016 Steven A. E. Miller, Ph.D., 5

6 Preparation of Document 45 archived boxes of books, journal articles, notes, derivations, and other items Every item carefully examined NASA Langley Acoustics Research Lab All technical developments included Personal and administrative documents omitted NASA Langley Technical Library April 2016 Steven A. E. Miller, Ph.D., 6

7 Table of Contents (1/2) 1. Introduction (Page 5) 2. Summaries of Mathematical Derivations, Notes, and Courses (Page 9) 3. A Very Basic Course in Acoustics (Page 30) 4. Applied Acoustics (Course) (Page 76) 5. Collected Lectures on Aeroacoustics (Page 158) 6. Lectures on the Aeroacoustics of Rotating Blades in the Time Domain (Page 257) 7. Green s Functions (Course) (Page 327) 8. The Mathematics of Near Field Acoustical Holography (Course) (Page 411) 9. Workshop on Kirchhoff Formulas (Page 442) 10. Notebook One (Page 472) 11. Notebook Two (Page 655) 12. Notebook Three (Page 843) April 2016 Steven A. E. Miller, Ph.D., s.miller@nasa.gov 7

8 Table of Contents (2/2) 13. Ducted Fans (Page 876) 14. Sound Propagation in a Duct and Interaction Tones (Page 933) 15. Nonstandard Analysis (Page 956) 16. Notes on Differential Geometry (Page 1006) 17. Aerodynamics, Aeroacoustics, and Propfans (Page 1067) 18. Acoustics (Page 1148) 19. Computational Fluid Dynamics (Page 1162) 20. Airframe Noise (Page 1171) 21. Abstract Algebra (Page 1184) 22. Ffowcs Williams Response (Page 1195) 23. Final Derivations (Page 1205) 24. Publications of Feridoun Farassat (Page 1211) April 2016 Steven A. E. Miller, Ph.D., s.miller@nasa.gov 8

9 Brief Biography: Early Life Born on October 20th 1944 in Ramhormoz, Iran and passed away on July 9th 2011 in Hampton, VA Lived in many cities - Azarbaijan, Mazandaran, Yazd, South Khorasan, and Tehran Father was head of the Gendarmerie and his mother was Fatmeh Roozrokh Farassat Completed high school in Tehran, Iran By Uwe Dedering, April 2016 Steven A. E. Miller, Ph.D., s.miller@nasa.gov 9

10 Brief Biography: Feri - Education American University of Beirut B.S. Engineering Mechanics 1967 Worked briefly in Scotland Syracuse - M.S. Noise from High Speed Coaxial Interacting Jets, 1970 Cornell - Ph.D. The Sound from Rigid Bodies in Arbitrary Motion, 1973 Advisor was the famous Professor William Rees Sears The period that I worked with Bill Sears at Cornell was one of the happiest periods of my life. Became adjunct faculty at George Washington University 1973 April 2016 Steven A. E. Miller, Ph.D., s.miller@nasa.gov 10

11 Brief Biography: Feri - Professional NASA - Joined 1979 and remained, broad research scope, varied mathematical interests Publications 150 in prestigious journals, many are single author, majority are available freely on NASA NTRS, seeded research ideas of others Awards and Recognition - NASA Exceptional Scientific Achievement Medals and 1991, Fellow of AIAA and AHS, NASA HJE Reid Award, AIAA Aeroacoustics Award Professional Summary - Highly influential and respected opinions, technical contributions are present within discipline April 2016 Steven A. E. Miller, Ph.D., s.miller@nasa.gov 11

12 Brief Biography: Feri - Interests Books - NASA Technical Library first look agreement Applied and pure math Cooking Gardening Never afraid to offer advice personal or otherwise Volunteer April 2016 Steven A. E. Miller, Ph.D., s.miller@nasa.gov 12

13 Selected Highlights - Classes Huygens Principle One of many carefully prepared slides for classes Above wave images believed to be third party content. Unable to iden8fy source a;er good faith efforts. If source later iden8fied, reasonable efforts will be made to incorporate. April 2016 Steven A. E. Miller, Ph.D., s.miller@nasa.gov 13

14 Selected Highlights - Classes Introduction to traditional acoustic analogy one of many carefully prepared slides April 2016 Steven A. E. Miller, Ph.D., s.miller@nasa.gov 14

15 Selected Highlights Green Books Example page from green books, each page numbered and dated, carefully hand written Acoustic energy / intensity in moving media April 2016 Investigation of terms within Formulation 4 Steven A. E. Miller, Ph.D., s.miller@nasa.gov 15

16 Selected Highlights One Solution of FW-H Equation with Shocks Example page from green books, each page numbered and dated, carefully hand written April 2016 Steven A. E. Miller, Ph.D., 16

17 Obtaining the Document Contact Questions? Thank You April 2016 Steven A. E. Miller, Ph.D., 17

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