Awell-established numerical approach to solve the Navier–Stokes equations for incompressible žuids is Chorin’s projection method [1], whereby the žuid velocity is explicitly updated, and then an elliptic problem for the pressure is solved, which is used to orthogonally project the velocity eld to maintain the incompressibility constraint. In this paper, we develop a mathematical correspondence...

Considerations on implementation of the stress-strain constitutive relations applied in Computational Fluid dynamics (CFD) simulation of cardiovascular flows have been addressed extensively in the literature. However, the matter is yet controversial. The author suggests that the choice of non-Newtonian models and the consideration of non-Newtonian assumption versus the Newtonian assumption is v...

Non-Newtonian fluid flow in a stenosed coronary bypass is investigated numerically using the Carreau-Yasuda model for the shear thinning behavior of the blood. End-to-side coronary bypass anastomosis is considered in a simplified model geometry where the host coronary artery has a 75% severity stenosis. Different locations of the bypass graft to the stenosis and different flow rates in the graf...

In the present study, the nonlinear model of non-Newtonian blood flow in cosine-shape stenosed elastic artery is numerically examined. The model is carried out for axisymmetric, two-dimensional and fully developed blood flow. The vessel wall is assumed to be have time-dependent radius that is important factor for study of blood flow. The cosine-shape stenosis convert to rigid artery by using a ...

The classical motion of spinning particles can be described without recourse to particular models or special formalisms, and without employing Grassmann variables or Clifford algebras, but simply by generalizing the usual spinless theory. We only assume the invariance with respect to the Poincaré group; and only requiring the conservation of the linear and angular momenta we derive the zitterbe...

This article illustrates the spreading and receding characteristics of non-Newtonian droplets impinging on solid surfaces at different Weber numbers. A xanthan gum solution was used to generate non-Newtonian droplets. From digital images captured using a high speed camera, spreading diameters and dynamic contact angles (DCA) were measured during the impact process. Depending on impact velocity,...