The general theory of characteristics is reviewed for hyperbolic
partial differential equations of n independent variables. The
application of the theory of characteristics is made to unsteady, two-dimensional, rotational, inviscid flows; unsteady, two-dimensional,
irrotational, inviscid flows; and unsteady, axial symmetric, inviscid
flows. The characteristic surfaces and the compatibility relations
are...
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...
This dissertation explores mathematical theory of the 3 dimensional incompressible Navier-Stokes equations that consists a set of partial differential equations which govern the motion of Newtonian fluids and can be seen as Newton's second law of motion for fluids. The main interest of this work focuses on how local perturbation...