Graduate Thesis Or Dissertation

 

The effects of nonlinearity, viscosity, and temperature in Burgers' equation Public Deposited

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https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/mw22v8502

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  • An analysis was conducted to determine the effects of nonlinearity in the one dimensional Navier-Stokes equation describing a viscous fluid flow. An attempt was made to numerically determine the effect of temperature variance on the fluid, either by varying the constant viscosity factor in the energy dissipative term in the Navier-Stokes equation or by coupling the system with a thermodynamic equation. Numerical techniques used included a Fourier approximation, a finite difference scheme and the Godunov method. Two main conclusions could be drawn from the results: the determination of the nonlinearity setting up a shock front after a finite amount of time depends on the viscosity; and the system must remain coupled for an accurate solution.
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  • description.provenance : Made available in DSpace on 2013-07-22T16:42:30Z (GMT). No. of bitstreams: 1 MooreMuellerLaura1988.pdf: 482485 bytes, checksum: 088548dd51f7470a48cbec3ec4491e6f (MD5) Previous issue date: 1987-07-31
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