Doctor of Philosophy (Ph.D.)
A wide range of laboratory and naturally occurring plasmas are frequently attributed a fluid description and as such, demonstrate turbulent flows. We will investigate a variety of forms which may be taken by the correlation functions of these turbulent flows. The most commonly discussed isotropic symmetry is not generally applicable since most systems of interest have been shown to be strongly anisotropic. This thesis will develop an axi-symmetric description from which the magnetic helicity may be extracted together with its spectrum. This description will be compared to the form taken by axi-symmetric, helical Navier Stokes turbulence which will also be derived here. The microscales for this geometry will be tabulated and for completeness, the Von Karman Howarth equations will be derived.
© The Author
Smith, Charles W., "The structure of axisymmetric turbulence" (1981). Dissertations, Theses, and Masters Projects. William & Mary. Paper 1539623726.