Pulsatile blood flow through arterioles

Abstract

An analytical study was made to examine the effect of vascular deformability on the pulsatile blood flow in arterioles through the use of a suitable mathematical model. The blood in arterioles is assumed to consist of two layersboth Newtonian but with differing coefficients of viscosity. The flow characteristics of blood as well as the resistance to flow have been determined using the numerical computations of the resulting expressions. The applicability of the model is illustrated using numerical results based on the existing experimental data.

Effects of magnetic field, porosity, and wall properties for anisotropically elastic multi-stenosis arteries on blood flow characteristics

“…To observe the quantitative effects of the Hartmann number Ha, the constant of permeability κ, the maximum height of the stenosis size δ, and the shape parameter m. For the purpose of computational work, we use the following experimental data [1,[23][24][25] : a = 5×10 −3 cm, ρ = 1.05 g/cm 3 , μ = 0.04, ω c = 0.002 1, ω = 7.854,…”

“…To study the effect of tethered tube on blood flow, we vary the previous corresponding parameters, within a physiologically meaningful interval, while keeping all the others fixed in their base values. In choosing the interval of variation for the parameters, we are guided by the following parameters which approximately represent descending aorta of dogs [1,24,26] :…”

“…Further, substituting the solutions of u 1 , w 1 , p 1 , ξ 1 , and η 1 represented by (29)-(31) into (24) and (25), we have…”

“…The governing equations of motion of the arterial wall when it is subjected to inertial forces, surface forces, and the forces of constraint representing the reactions of the surrounding connective tissues, are given by [1,[23][24][25] …”