| This dissertation gives a detailed derivation and discussion of the eigensolution of a nonaxisymmetric entry flow of a Newtonian viscous fluid with a very low Reynolds number in a semi-infinite rigid circular pipe. This dissertation establishes a technique for calculating the eigenvalues of the eigensolution. This is done through the development of asymptotic approximations and then the application of Newton's method for refinement of the asymptotic approximations. This dissertation also establishes velocity profiles, in the axial, radial and angular directions, within the entrance length, for an entrance condition that approximates a lower half blockage of the pipe in the steady case. A periodic phenomenon is established not only in the axial velocities, but also in the radial and angular velocities. |
