Date of Award


Publication Type

Doctoral Thesis

Degree Name



Mechanical, Automotive, and Materials Engineering


Engineering, Mechanical.


Rankin, G. W.,




A numerical method has been developed to solve steady laminar flow through a tube with multiple constrictions and pulsatile flow through tubes with moving boundaries. The governing equations were formulated in body fitted curvilinear coordinates so that arbitrary domains and moving boundaries could be handled. A finite volume discretization procedure was used to solve the governing equations. Four practical flow problems were numerically simulated in this work. In the first case, tubes with one, two, three, four and seven constrictions were considered. For the second case, the flow through a tube with multiple constrictions was solved by considering a single module where the flow field was assumed to be periodic. By comparing the results of these two cases, the effects of the number of constrictions on wall shear stress, pressure drop, vorticity, streamlines and velocity distributions as the flow passed through the tube were studied and the development of periodicity characteristics was investigated. The computations were carried out for a range of Reynolds numbers between 50 and 250. The third case studied had a pulsatile flow at the inlet of a tube having a constriction which changed in shape periodically with time at a prescribed frequency. The fourth case also had a pulsatile flow at the inlet with a portion of the wall that changes shape periodically with time. In this case, however, the variation caused contraction of the pipe at one portion of the cycle and distention at another portion alternatively. The presence of moving boundaries in the above mentioned cases caused additional unsteadiness to occur in the flow. This unsteady behaviour in the flow was investigated over a range of frequencies.Dept. of Mechanical, Automotive, and Materials Engineering. Paper copy at Leddy Library: Theses & Major Papers - Basement, West Bldg. / Call Number: Thesis1995 .D35. Source: Dissertation Abstracts International, Volume: 57-07, Section: B, page: 4651. Advisers: G. W. Rankin; C. Zhang. Thesis (Ph.D.)--University of Windsor (Canada), 1996.