Method of characteristics for pressure transients in cylindrical geometry with axial symmetry: the formulation

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The system of governing equations for an unsteady inviscid compressible flow is formulated by the method of characteristics for numerical integration. An axially symmetric cylindrical geometry is considered which simulates a simplified geometry of steam generators. The resulting reduced equations, the bicharscteristic and compatibility equations involve one less independent variable than the original system of equations. The system of governing partial differential equations if reduced to a system of integral equations written along bicharacteristics. Numerical integration can be performed either using the compatibility relations by writing in finite differences or using the system of integral equations by various approximation techniques. ... continued below

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Pages: 31

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Shin, Y.W. October 1, 1973.

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Description

The system of governing equations for an unsteady inviscid compressible flow is formulated by the method of characteristics for numerical integration. An axially symmetric cylindrical geometry is considered which simulates a simplified geometry of steam generators. The resulting reduced equations, the bicharscteristic and compatibility equations involve one less independent variable than the original system of equations. The system of governing partial differential equations if reduced to a system of integral equations written along bicharacteristics. Numerical integration can be performed either using the compatibility relations by writing in finite differences or using the system of integral equations by various approximation techniques. (11 references) (auth)

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Pages: 31

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Dep. NTIS

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  • Other Information: Orig. Receipt Date: 30-JUN-74

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  • Report No.: ANL-CT--73-23
  • Grant Number: None
  • DOI: 10.2172/4377612 | External Link
  • Office of Scientific & Technical Information Report Number: 4377612
  • Archival Resource Key: ark:/67531/metadc1025295

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Office of Scientific & Technical Information Technical Reports

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Creation Date

  • October 1, 1973

Added to The UNT Digital Library

  • Oct. 15, 2017, 10:09 p.m.

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  • Oct. 27, 2017, 3:41 p.m.

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Shin, Y.W. Method of characteristics for pressure transients in cylindrical geometry with axial symmetry: the formulation, report, October 1, 1973; Illinois. (digital.library.unt.edu/ark:/67531/metadc1025295/: accessed December 12, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.