The mirror fluid method is proposed for simulating viscous tubular flow of a Newtonian or non-Newtonian fluid past an irregular solid obstacle using a simple finite difference method for discretization. Suitable flow parameters in the solid domain are assigned by a mirror relation to ensure the surface segment is subjected to zero net shear and normal forces and the boundary conditions are enfo...

Effect of arterial wall compliance on the invasive coronary diagnostic parameters for various severities of coronary stenoses was assessed. The Mooney-Rivlin model was used to define the non-linear properties of the arterial wall and the plaque regions. The nonNewtonian viscosity of blood was modeled using the Carreau model. A finite element method was employed to solve the pulsatile fluid (blo...

Pulsatile non-Newtonian blood flow in an idealized vessel is numerically investigated. The CarreauYasuda model is used to account for the shear-thinning viscosity of blood. For validation purposes, we have used two numerical methods: a mesoscopic lattice-Boltzmann equation and a standard finite element solver. Good agreement for the velocity and the shear stress has been obtained from the two a...

This study looks into the steady heat transfer issue of a flow an incompressible Carreau fluid. fluid exhibits shear thinning and thickening characteristics at low, moderate, high rates. At tubule wall, absorption is used as function pressure gradient wall permeability through wall. Supposing radius considerably small in comparison to its length, governing equations are simplified. Significant ...

Abstract: A dual mixed finite element method, for quasi–Newtonian fluid flow obeying the power law or the Carreau law, is constructed and analyzed in Farhloul–Zine [13]. This mixed formulation possesses good local (i.e., at element level) conservation properties (conservation of the momentum and the mass) as in the finite volume methods. In Farhloul–Zine [12], we developed an a posteriori error...

The unsteady flow of a Carreau fluid over coated disk under the simultaneous effects thermal and concentration field with buoyancy forces is reported. time-dependent diffusive stream conducting carried out energy loss. partial differential equations are first converted into scheme ordinary by appropriate transformations then solved shooting method. Significant results for speed, hotness profile...

Cardiovascular diseases were the main cause for loosing lives in last decades due to restricted blood flow states vessels areas. Numerical investigations have been conducted as aim of this work examine flow, and wall shear stresses adjacent mono stenosis up different degrees involved main, side distal branches well observe pulsatile left coronary artery through various percentage stenosis. Both...