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Synopsis
This book offers an exact solution to the potential flow through a conical pipe, providing a solid foundation for further research in various disciplines. The solution has direct applications in diffraction theory, particularly in understanding the far field of sound waves arising from excitation within the conical pipe. The author's approach, while rooted in classical potential theory, is novel and characterized by the construction of integral representations of the solution using a variant of the Wiener-Hopf procedure. These representations are then used to obtain eigenfunction expansions of the potential, leading to explicit expressions for the conductivity of the conical pipe's opening. The behavior of the velocity of the fluid near the circular edge of the conical pipe is also determined, and the uniqueness of the solution is proven using the Rayleigh static method. The book's significance lies in its rigorous treatment of the problem, providing a framework for future investigations in fluid dynamics and acoustics.
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Potential Flow Through a Conical Pipe With an Application to Diffraction Theory
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book offers an exact solution to the potential flow through a conical pipe, providing a solid foundation for further research in various disciplines. The solution has direct applications in diffraction theory, particularly in understanding the far field of sound waves arising from excitation within the conical pipe. The author's approach, while rooted in classical potential theory, is novel and characterized by the construction of integral representations of the solution using a variant of the Wiener-Hopf procedure. These representations are then used to obtain eigenfunction expansions of the potential, leading to explicit expressions for the conductivity of the conical pipe's opening. The behavior of the velocity of the fluid near the circular edge of the conical pipe is also determined, and the uniqueness of the solution is proven using the Rayleigh static method. The book's significance lies in its rigorous treatment of the problem, providing a framework for future investigations in fluid dynamics and acoustics. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781333753993_0
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Potential Flow Through a Conical Pipe With an Application to Diffraction Theory Classic Reprint
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333753993
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Potential Flow Through a Conical Pipe With an Application to Diffraction Theory Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333753993
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Ships from United Kingdom to U.S.A.
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Quantity: 15 available