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Vortex-Wave Solutions of Navier-Stokes Equations in a Cylindrical Pipe

Ozcakir, Ozge

Abstract Details

2014, Doctor of Philosophy, Ohio State University, Mathematics.
We find a systematic approach to compute two-fold symmetric VW solutions through alternate azimuthal suction and injection on the boundary. For computational efficiency, number of unknown variables are reduced and GMRES iterative method is employed to solve linear equations in a Newton iteration. Then, we investigate asymptotic properties of the solutions and compare our results with findings of Hall & Sherwin for Couette flows in a channel.
Saleh Tanveer (Advisor)
122 p.

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Citations

  • Ozcakir, O. (2014). Vortex-Wave Solutions of Navier-Stokes Equations in a Cylindrical Pipe [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1388682148

    APA Style (7th edition)

  • Ozcakir, Ozge. Vortex-Wave Solutions of Navier-Stokes Equations in a Cylindrical Pipe. 2014. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1388682148.

    MLA Style (8th edition)

  • Ozcakir, Ozge. "Vortex-Wave Solutions of Navier-Stokes Equations in a Cylindrical Pipe." Doctoral dissertation, Ohio State University, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=osu1388682148

    Chicago Manual of Style (17th edition)