Stepwise mathematical derivation of the Herschel–Bulkley laminar fluid flow equations—in pipes

Analysis of the Effect of Fluid Velocity on the Instability of Concrete Pipes Reinforced with Nanoparticles Conveying the Fluid Flow

With respect to the great application of pipes conveying fluid in civil engineering, presenting a mathematical model for their stability analysis is essential. For this purpose, a concrete pipe, reinforced by iron oxide (Fe2O3) nanoparticles, conveying fluid  is considered. The goal of this study is to investigate the structural stability to show the effects of the inside fluid and the nanopart...

Laminar Boundary Layer Flow of Sisko Fluid

Mathematical modelling of Sisko fluid flow through a stenosed ‎artery

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 ...

Mathematical Modeling for Laminar Flow of Power Law Fluid in Porous Media

In this paper, the macroscopic equations for laminar power-law fluid flow is obtained for a porous medium starting from traditional equations (Navier-Stokes). Then, the volume averaging is applied in traditional transport equations with the power-law fluid model. This procedure leads to macroscopic transport equations set for nonNewtonian fluid.

Investigation of instable fluid velocity in pipes with internal nanofluid flow based on Navier-Stokes equations

In this article, the instable fluid velocity in the pipes with internal nanofluid is studied. The fluid is mixed by SiO2, AL2O3, CuO and TiO2 nanoparticles in which the equivalent characteristic of nanofluid is calculated by rule of mixture. The force induced by the nanofluid is assumed in radial direction and is obtained by Navier-Stokes equation considering viscosity of nanofluid. The displac...