Development of an analytic core flow approximation for a square duct in an oblique magnetic field

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The core flow approximation for liquid metal (LM), magnetohydrodynamic (MHD) duct flow is a method that ignores the contributions of viscous forces in the fluid. For a fully developed, steady state flow situation, this approximation leaves the magnetic forces to be balanced only by the pressure gradient and results in a greatly simplified momentum equation. The velocity field predicted by the core flow equations is obtained much more easily than that described by the full solution, which usually requires a numerical approach. For this reason it is desirable to use the core flow method for flow situations in which viscosity ... continued below

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25 p.

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Morley, N.B.; Tillack, M.S. & Abdou, M.A. March 1, 1991.

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Description

The core flow approximation for liquid metal (LM), magnetohydrodynamic (MHD) duct flow is a method that ignores the contributions of viscous forces in the fluid. For a fully developed, steady state flow situation, this approximation leaves the magnetic forces to be balanced only by the pressure gradient and results in a greatly simplified momentum equation. The velocity field predicted by the core flow equations is obtained much more easily than that described by the full solution, which usually requires a numerical approach. For this reason it is desirable to use the core flow method for flow situations in which viscosity has little effect. Developed here is an analytic core flow solution for a square duct in an obliquely incident magnetic field which omits any special treatment of boundary layers. This solution is compared to the full solution method developed in the code MH2D and a parametric comparison is performed. This general analytic approach can be expanded to consider rectangular ducts or walls of different thickness and electrical conductivity. The latter, however, will greatly complicate the equations presented here.

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25 p.

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OSTI as DE97053590

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  • Other Information: PBD: Mar 1991

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  • Other: DE97053590
  • Report No.: DOE/OR/00033--T786
  • Report No.: UCLA-FNT--46
  • Grant Number: AC05-76OR00033
  • DOI: 10.2172/654352 | External Link
  • Office of Scientific & Technical Information Report Number: 654352
  • Archival Resource Key: ark:/67531/metadc702504

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  • March 1, 1991

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  • Sept. 12, 2015, 6:31 a.m.

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  • Nov. 4, 2015, 4:19 p.m.

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Morley, N.B.; Tillack, M.S. & Abdou, M.A. Development of an analytic core flow approximation for a square duct in an oblique magnetic field, report, March 1, 1991; United States. (digital.library.unt.edu/ark:/67531/metadc702504/: accessed September 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.