Boundary value problem for the rectangular wavemaker Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/gh93h162n

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  • The goal of this research is to develop an equation describing the two, dimensional motion of an inviscid incompressible fluid in the rectangular wavemaker of constant depth. The boundary value problem of the rectangle is transformed to the upper half plane with the use of Jacobian elliptical functions. The boundary value problem is then transformed to the unit disc. The solution to the mixed value problem of the disc is found using a general solution satisfying the Laplace equation in polar coordinates. In order to solve the coefficients of the general solution, a system of equations is developed using a method similar to the one applied for the coefficients of a Fourier series. The system is converted to matrix form and the coefficients are calculated using Mathematica. Four approximate solutions are calculated for depths of 3.96 m and 4.42 m with N equal to 2 and 10.
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  • File scanned at 300 ppi (Monochrome, 256 Grayscale) using Capture Perfect 3.0 on a Canon DR-9050C in PDF format. CVista PdfCompressor 4.0 was used for pdf compression and textual OCR.
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  • description.provenance : Rejected by Patricia Black(patricia.black@oregonstate.edu), reason: replace file on 2013-01-25T19:09:07Z (GMT)
  • description.provenance : Made available in DSpace on 2013-01-28T17:52:09Z (GMT). No. of bitstreams: 1 AverbeckPatrickJ1993.pdf: 5340832 bytes, checksum: a21c248fb60ee0cc5235694b1a1058a0 (MD5) Previous issue date: 1993-05-17
  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2013-01-28T17:52:09Z (GMT) No. of bitstreams: 1 AverbeckPatrickJ1993.pdf: 5340832 bytes, checksum: a21c248fb60ee0cc5235694b1a1058a0 (MD5)
  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2013-01-25T19:38:57Z (GMT) No. of bitstreams: 1 AverbeckPatrickJ1993.pdf: 5340832 bytes, checksum: a21c248fb60ee0cc5235694b1a1058a0 (MD5)
  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2012-12-31T17:29:03Z (GMT) No. of bitstreams: 1 AverbeckPatrickJ1993.pdf: 5417278 bytes, checksum: 29717916cb6c866d7112809534a7cc39 (MD5)
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  • description.provenance : Submitted by Kirsten Clark (kcscannerosu@gmail.com) on 2013-01-25T19:21:08Z No. of bitstreams: 1 AverbeckPatrickJ1993.pdf: 5340832 bytes, checksum: a21c248fb60ee0cc5235694b1a1058a0 (MD5)

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