In this paper, a spectral collocation approach based on the rational Chebyshev functions for solving the axisymmetric stagnation point flow on an infinite stationary circular cylinder is suggested. The Navier-Stokes equations which govern the flow, are changed to a boundary value problem with a semi-infinite domain and a third-order nonlinear ordinary differential equation by applying proper si...

The purpose of this paper is to study oscillation and asymptotic behavior of solutions to a third order linear delay differential equation . All righ in part t Umeå Baculíko y000ðtÞ þ pðtÞy0ðtÞ þ qðtÞyðsðtÞÞ 1⁄4 0: New comparison theorems deduce oscillation of the given third order delay differential equation via application of known oscillation criteria to associated first order delay differen...

A systematic way to derive the conserved quantities for the axisymmetric liquid jet, free jet and wall jet using conservation laws is presented. The flow in axisymmetric jets is governed by Prandtl’s momentum boundary layer equation and the continuity equation. The multiplier approach is used to construct a basis of conserved vectors for the system of two partial differential equations for the ...