Flow through a converging-diverging tube and its implications in occlusive vascular disease — I

Quantifying Compressibility and Slip in Multiparticle Collision (MPC) Flow Through a Local Constriction

“…As per [1], for a mild stenosis geometry, the r-momentum Equation (14) can be approximated as ∂P ∂r = 0, in which case, Equation (16) implies ρ = ρ(z), which can be used in Equation (13) to give:…”

“…Following [1], we now assume that the radial dependence of the axial velocity, w, is a fourth-order polynomial in the form:…”

“…The analysis is a natural extension of [1] and an improvement to the results given in [8,9]. The flow geometry considered is axisymmetric, but asymmetric about the location of maximum constriction.…”

“…Flows through constrictions are popular in blood flow studies, and the analytical method used in this paper is an extension of the pioneering analysis carried out in [1][2][3]. The method used is called the Karman-Pohlhausen method, which essentially leads to the determination of the axial velocity profile.…”

“…The method used is called the Karman-Pohlhausen method, which essentially leads to the determination of the axial velocity profile. In [1][2][3], the fluid is considered to be Newtonian and incompressible, and the no-slip assumption is used, as would be common for blood flow applications. A more accurate pressure distribution was later developed for the same flow problem and presented in [4].…”