title: A perturbation model for the oscillatory flow of a Bingham plastic in rigid and periodically displaced tubes.
abstract: An approximate analytical model for the pulsatile flow of an ideal Bingham plastic fluid in both a rigid and a periodically displaced tube has been developed using regular perturbation methods. Relationships are derived for the velocity field and dimensionless flow rate. The solution compares adequately with available experimentally measured oscillatory non-Newtonian fluid flow data. These solutions provide useful analytical models supporting experimental and computation studies of arterial blood flow.
authors.affiliation: Department of Mechanical Engineering, Texas A&M University, College Station 77840, USA. ldechant@lanl.gov
authors.forename: L J
authors.initials: LJ
authors.lastname: De Chant
mesh_terms: D001783:Blood Flow Velocity; D006801:Humans; D008955:Models, Cardiovascular; D011673:Pulsatile Flow; D012212:Rheology; D013314:Stress, Mechanical