BLOOD FLOW THROUGH A CIRCULAR PIPE WITH AN IMPULSIVE PRESSURE GRADIENT

GIUSEPPE PONTRELLI
2000 Mathematical Models and Methods in Applied Sciences  
The unsteady flow of a viscoelastic fluid in a straight, long, rigid pipe, driven by a suddenly imposed pressure gradient is studied. The used model is the Oldroyd-B fluid modified with the use of a nonconstant viscosity, which includes the effect of the shearthinning of many fluids. The main application considered is in blood flow. Two coupled nonlinear equations are solved by a spectral collocation method in space and the implicit trapezoidal finite difference method in time. The presented
more » ... e. The presented results show the role of the non-Newtonian terms in unsteady phenomena. *
doi:10.1142/s0218202500000124 fatcat:7txvzcslr5depmckdbb5lck4vq