Oscillatory and pulsatile flows in curved tubes and annuluses
Abstract
A theoretical analysis of fully developed laminar flow of an incompressible fluid in a curved tube and in a curved annulus of circle cross section was studied. The flow field was driven by the oscillatory pressure gradient superimposed with a constant pressure gradient. A set of linearized equations was obtained by expanding the NavierStokes equation, written in a toroidal coordinate system, in the limit of the small curvature ratio. The perturbed equations were solved by direct integration and by means of a finite Hankel transformation up to the first order. The transform integrals were evaluated numerically. Closed form analytical solution, namely secondary and axial velocity profiles, streamlines, and the shear stresses around the wall, were presented graphically for the entire range of oscillatory Reynolds number alpha.
 Publication:

Ph.D. Thesis
 Pub Date:
 1976
 Bibcode:
 1976PhDT........88L
 Keywords:

 Curvature;
 Oscillations;
 Pipes (Tubes);
 Pulses;
 Incompressible Fluids;
 Laminar Flow;
 Linear Equations;
 NavierStokes Equation;
 Pressure Gradients;
 Fluid Mechanics and Heat Transfer